THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA LOS ANGELES GIFT OF GJ. Cummings I A PRACTICAL TREATISE ON WARMING BUILDINGS BY HOT WATER, STEAM, AND HOT AIR; ON VENTILATION, AND THE VARIOUS METHODS OF DISTRIBUTING ARTIFICIAL HEAT, AND THEIR EFFECTS ON ANIMAL AND VEGETABLE PHYSIOLOGY. TO WHICH ABE ADDED AN INQUIRY INTO THE LAWS OF RADIANT AND CONDUCTED HEAT, THE CHEMICAL CONSTITUTION OF COAL, AND THE COMBUSTION OF SMOKE. BY CHARLES HOOD, F.R.S., F.R.A.S., &c. SIXTH EDITION. E. & F. N. SPON, 125, STBAND, LONDON. NEW YOKK: 35, MURRAY STREET. 1885. Engineering Library Tfl PKEFACE TO THE FIFTH EDITION. A NEW Edition of the TREATISE ON WARMING AND VENTILATING BUILDINGS being required, it has been thought desirable not only to revise the former edition, but also to enlarge it with a con- siderable quantity of new matter. The various inquiries addressed to the Author from time to time, have led to the conclusion that fuller information on certain subjects treated in this work would be desirable, and it has been his endeavour to supply this information in the present edition. The ever-varying conditions under which the Warming and Ventilating of Buildings are sought to be applied, necessarily produce new combina- tions. In the present edition considerable addi- tions have been made with the view of meeting, as 549403 Vi PREFACE. far as possible, these requirements. A chapter on heating large bodies of water for Baths and other purposes has been added ; and considerable addi- tions have been made to the chapters on forced and spontaneous ventilation, and on the action of the various forms of ventilators and chimney cowls. The causes of failure in several forms of apparatus have also been pointed out, and remedies suggested; and generally, throughout the work, many additional points of practical experience have been investigated, and it is hoped the results may be found useful. In the former editions of this work all the para- graphs were numbered consecutively. In the present edition many new paragraphs have been added without being numbered, and in other cases duplicate numbers, with an asterisk prefixed, have been inserted. This plan has been adopted ad- visedly. Not only was it deemed undesirable to disturb the original numbering of the paragraphs as given in the former editions; but further, the references throughout the work, from one part to another, are so numerous, that it was found to be scarcely practicable to alter the original numbering of the paragraphs, without great risk of error, and PREFACE. Vll an amount of additional labour which would be hardly justified. All that was given in the former editions will be found in the present work. But the additions which have been made will, it is hoped, throw some further light on various points of practice which have occasionally caused difficulties. Very copious extracts from the former editions of this work have for many years past been made both at home and abroad, by other authors. Not only paragraphs and tables, but whole pages, and even entire chapters, have been thus appropriated without acknowledgment. It may therefore be well to state that the first edition of this treatise was published in 1837. The extensive appropri- ation of parts of this work by other authors, without proper acknowledgment, has sometimes led to the borrowers being credited with the original production, and the real author esteemed to be the plagiarist. This is the excuse for noticing what might otherwise lead some persons to suppose an unfair use had been made by the author of what properly belonged to others; but he believes that he has in every instance quoted the authors from Vlll PREFACE. whom he has derived any of the information con- tained in the following pages. In this edition, as in those which preceded it, the plan of throwing into Notes a good deal of the information which is explanatory of the subject- matter of the work, has been followed. The object of this is to render the text more simple for those who only wish for the practical information, apart from any scientific discussion. C. H. No. 1, UPPER THAMES STBEET, LONDON ; AND LEINSTEB GABDENS, HYDE PABK. Tliis sixth edition is a reprint of the fifth. CONTENTS. PART FIRST. ON WARMING BUILDINGS BY HOT WATER. PAGE INTRODUCTION 1 CHAPTER I. ON THE CIRCULATION AND COMPRESSION OF WATER, AND THE INCLINATION AND LEVEL OF PIPES, ETC. Cause of Circulation of the Water Inclination of the Pipes Necessity for Air Vents Open and Close Boilers Pressure of Water Expansive Power of Steam Effect produced on the Circulation by in- creased Height of the Pipe Compression of Water Branch Pipes Variations in Level of Pipes 9 CHAPTER II. ON THE MOTIVE POWER AND VELOCITY OF CIRCULATION OF WATER. On the Motive Power of the Water On increasing the Motive Power Velocity of Circulation Circulation of Water below the Boiler Direct and Reversed Circulation Air Vents Supply Cisterns Expan- sion of Pipes, &c 24 CONTENTS. CHAPTER III. ON THE RELATIVE SIZES OF PIPES, AND THE USE OF STOP-COCKS AND VALVES. PAGE On the Resistance by Friction Relative Size of Main Pipes and Branch Pipes Vertical and Horizontal Main Pipes Small Connecting Pipes Branch Pipes at different Levels Stop-Cocks and Valves Their Use and proper Size Their place supplied by Cisterns Inconvenience of them Remedies 51 CHAPTER IV. ON TEMPEBATTJBE, PIPES AND BOILERS, DURABILITY OF MATERIAL, -" AND FUEL. Permanence of Temperature Rates of Cooling for dif- ferent-sized Bodies Proper Sizes for Pipes Relative Size of Pipes and Boiler Various Forms of Boilers, and their Peculiarities Boilers heated by Gas Objections against contracted Waterway in Boilers Proper Size of Boilers for any given lengths of Pipe What constitutes a good and efficient Boiler Durability of different materials for Boilers Effect of Impure Fuel 63 CHAPTER V. ON FURNACES, THEIR CONSTRUCTION, AND MODES OF FIRING. On the Construction of Furnaces Combustion dependent on Size of Fire Bars Furnace Doors, and other parts of Furnaces Proportionate Area of Furnace Bars to the Fuel consumed Confining the Heat within the Furnace Directions for Building the Furnace for diiferent Boilers Advantage of large Furnaces Modes of Firing Size of Chimneys 88 CONTENTS. XI CHAPTER VI. ESTIMATE OF THE HEATING SURFACE REQUIRED TO WARM ANY DESCRIPTION OF BUILDINGS. PAGE Heat by Combustion Quantity of Heat from Coal Specific Heat of Air and Water Measure of Effect for Heated Iron Pipe Cooling Power of Glass Effect of Vapour Quantity of Pipe required to warm a given space Time required to heat a Building Facile Mode of Calculating the quantity of Pipe re- quired in any Building Quantity of Coal consumed 105 CHAPTER VII. ON VARIOUS HOT-WATER APPARATUS. Various Modifications of the Hot -water Apparatus Kewley's Siphon Principle The High-pressure System Holmes' and Coffey's Modifications Eckstein and Busby's Rotary Float Circulator Fowler's Thermo-siphon Price's improved Hot- water Boxes Rendle's Tank System Corbett's Trough System for Evaporation Theory of Evapo- ration 131 CHAPTER VIII. GENERAL REMARKS ON HOT-WATER APPARATUS. General Summary of the Subject Points requiring particular attention Abstraction of Air from the Pipes Vertical Alteration of Level Effect of Elbows in Compensating unequal Expansions of the Pipe Different Floors heated by one Main Pipe from the Boiler Method of connecting Coils to Main Pipes Reduced Effect from Pipes laid in Trenches Effect of Cold Currents of Air in neu- tralizing Heating Apparatus Heating Apparatus placed in Vaults Cements for Joints Sediment in Boilers Use of Salt in Pipes to prevent Freezing Deposition of Vapour in inhabited Rooms Ne- cessity for Ventilation Construction of Drying- rooms . 163 Xil CONTENTS. CHAPTER IX. ON APPARATUS FOB BATHS AND DOMESTIC SERVICE. PAGE Inconvenience from Deposits in Boilers Deposit in Cisterns Circulation necessary throughout the Pipes Proper position of the Hot-water Cistern Two different Modes of drawing off Hot Water Heating Tanks by Coils, or by Direct Circulation Mode of estimating the power of a Coil Estimate of Boiler Surface Plunging Baths 194 CHAPTER X. ON HEATING BY STEAM. Variableness of Temperature Alterations in the Level of the Pipes Removal of Condensed Water Proper Steam Pressure to be Employed Mode of calculating the Heating Surface required Size of Boilers Quantity of Water Condensed Boiler Surface re- quired Forms and Power of Boilers Quantity of Coal Size of Furnace Bars Mode of supplying Water to the Boiler Safety Valves, Gauges, and other Appendages required Air Vents and Outlets for the Condensed Water 202 CHAPTER XI. ON HEATING BY HOT AIR. Sylvester's Cockle Stove Improved Cockle Stove Es- timate of Heating Power Hot-air Stoves with Pro- jecting Plates, and their Heating Power Bern- hardt's, Hazard's and other Hot-air Apparatus- Difficulty with Horizontal Flues Multitubular Hot- air Apparatus Hot-blast Apparatus 218 CONTEXTS. xiii CHAPTER XII. ON THE LAWS AND PHENOMENA OF HEAT. PACK Radiation and Conduction General Law of cooling Bodies in Air and other Gases Different Laws for Conduc- tion and Radiation Effect by Incidence of the Rays Effects of Surface on Radiation Effects of Colour Effects of Roughness Absorptive Power of Bodies for Heat Conducting Power of Metals Conducting Power of Wood Conducting Power of Liquids Cooling Influence of Water and Air Reflective Powers of Bodies Specific Heat of Bodies Latent Heat Spontaneous Evaporation Heat and Cold by Condensation and Rarefaction of the Air Motion of Liquids influenced by Heat Effect of Heat on Strength of Materials 234 CHAPTER XIII. EXPERIMENTS ON COOLING. Velocity of Cooling of a Heated Body Tredgold's Ex- periments Cooling of Cast-iron Surfaces Ratio of Cooling of Painted Surfaces Cooling Effect of Window -glass Leslie's Experiments on Cooling Power of Wind Importance of in Buildings used for , Horticultural Purposes Effect of Sheet Iron in Cooling Buildings 271 xiv CONTENTS. PART SECOND. ON THE WARMING AND VENTILATION OF BUILDINGS BY THE COMBUSTION OP FUEL. CHAPTER I. ON THE VARIOUS METHODS OF WARMING AND VENTILATING BUILDINGS, THE COMBUSTION OF FUEL, ETC. PAGE Early Methods of Warming Buildings The Eomans; their Stoves Baths Flues Mode of Preparing their Firewood The Persian Method of Heating Chinese Method of Flues Method of the Ancient Britons Invention of Chimneys Burning of Coals in England Early Writers on the Subject Im- provements in the Form and Construction of Stoves and Fireplaces 281 CHAPTER II. ON THE VARIOUS FORMS OF FIREPLACES AND STOVES. Forms of Fireplaces and Chimneys Should be made to reflect Heat Contraction of Chimney-breast Hollow Hearths and Backs for Fireplaces Rum- ford's Principles of Construction Errors in the Construction of Stoves Register Stove in a Case Jeffrey's Stove Franklin's Pennsylvania Stove Cutler's Torch Stove Sylvester's Radiating Stove Russian and Swedish Stove Cundy's Stoves Ger- man Stoves Hot-air Stoves Cockle Stoves Dr. Nott's Stove Dr. Arnott's Stove Franklin's Vase Stove Gas Stoves Joyce's Stoves Beaumont's Stove Palmaise Stove 290 CONTENTS. XV CHAPTER III. ON THE CHANGES PRODUCED IN ATMOSPHERIC AIR BY HEAT, COMBUSTION, AND RESPIRATION. FAOB Necessity for Ventilation Constitution of the Atmo- sphere Ventilation, its early Invention Subsequent Inventions for Ventilating Effects of Contaminated Air on the Human Frame Effects of Climate on Health and Longevity Cause of Miasmata Effects of excessive Moisture and excessive Dry- ness of the Atmosphere Respiration ; its Pro- ducts and Effects Impure Air Carbonic Acid Gas Vapour from the Body Effect of Diminished Pressure Electric Condition of the Air Production of Ozone Decomposition of Extraneous Matter in the Air Effects of Hydrogen, Carburetted Hydro- gen, and Carbonic Oxide Quantity of Air required for Ventilation Importance of the Air to Animal and Vegetable Life 317 CHAPTER IV. ON THE VARIOUS METHODS OF PRODUCING VENTILATION. Spontaneous and Mechanical Methods of Ventilation Cause of Motion in Spontaneous Ventilation Velocity of Discharge Effects of Unequal Height of Discharge Pipes Defects in Ventilation of Churches Proportions of Induction and Abduction Tubes Quantity of Air discharged through Ventilators Ventilating by Heat and by Chimney Draughts Mechanical Ventilation by Fans, Bellows, and Pumps Quantity of Air discharged by these Means Calculations of the Power Expended Cowls for promoting Ventilation Effect of different Cowls . . 357 X vi CONTENTS. ' CHAPTER V. ON THE THEORY OF GASEOUS EFFLUX. FAGK Theoretical Determination of the Velocity of Gaseous Fluids Investigated by Dr. Papin} Dr. Gregory, Davies Gilbert, Sylvester, Tredgold, &c. Hydro- dynamic Law of Spouting Fluids Basis of Dr. Gregory's Formulae for Calculating the Velocity of Air Mr. Davies Gilbert's Method of Calculation- Mr. Sylvester's Process Tredgold's Theory Mont- golfier's Mode of Calculating the most simple and correct Comparison of Theoretical Calculations with the Results of Experiments Accuracy of this Method - of Calculation 386 CHAPTER VI. ON THK CHEMICAL CONSTITUTION OF COAL, AND THE COM- BUSTION OF SMOKE. Early Use of Coal in England Chemical Composition of Coal Analysis of Coal Combustion of Coal Loss by imperfect Combustion Loss from the Escape of Smoke Loss by Carbonic Oxide Causes of im- perfect Combustion Theory of Combustion Tem- perature required for Combustion Effects of Rare- faction of the Air Effects of Hot Air Quantity of Air required for Combustion Methods of admitting Air Combustion of Anthracite Coal Description of various Plans for consuming Smoke Artificial Fuels .397 APPENDIX 441 INDKX .451 INTEODUCTION. THE practice of employing hot water, circulating through iron pipes, for diffusing artificial heat, is an invention of acknowledged utility ; and the present extensive and extending use of this in- vention renders it extremely desirable that its principles should be clearly defined, and the rules for its practical application laid down with pre- cision. Without this knowledge its success will be uncertain, its application limited, and its re- sults unsatisfactory. It can scarcely excite surprise, that prejudices should formerly have existed against this inven- tion, while its merits and its principles were alike imperfectly known. Even at the present time they are but partially understood ; and, therefore, to investigate these two subjects is the proposed object of the present treatise, with the view of facilitating its application, and extending the sphere of its utility. There is scarcely any branch of science, or of art, in which an acquaintance with the laws of Nature does not enable us to derive greater ad- vantages in its application than we could other- wise possess. There is no art, however humble, in which a knowledge of the laws that regulate matter does not open a wide and extensive field of useful improvement; and no man can hope to 2 INTRODUCTION. advance the sphere of useful invention, in any considerable degree, without some knowledge of the principles on which it depends. But, having this knowledge, he may, to use the words of a well-known writer, " if he have only a pot to boil, be sure to learn from science lessons which will enable him to cook his morsel better, save his fuel, and both vary his dish and improve it." Although it is true that we are still ignorant of the more subtile agents which exist in the vast chain of causation, the laws which regulate the various phenomena of Nature are sufficiently known to afford the most beneficial assistance to every branch of the arts and sciences: and the most recondite of scientific discoveries, as well as the most valuable inventions and improvements in the arts, are not more demonstrative of the truth of this assertion, than those which are the most simple and inartificial. For an illustration of the utility of this know- ledge, we may refer to the law of gravity, not only because it is, of all natural phenomena, the most constant in its operation, and the most universal in extent, but because its influence is closely connected with the present subject of in- quiry. That all falling bodies gravitate with the same velocity, and, therefore, descend through a cer- tain definite space in a given time, is, we know, an effect, of which gravity is the cause. It is on the operation of this invariable law that many of our most valuable inventions depend. Its influ- ence is equally exerted on all objects alike ; the most mighty as well as the most minute. It is this which gives stability to the grandest produc- tions of Nature, as well as to the most minute or artificial of our own works. It is from this cause that we obtain the unerring action of our pendulums INTRODUCTION. 3 and clocks ; and it is by this we obtain the circu- lation of hot water, with which we warm our dwellings. By a knowledge of the cause of these effects, of the extent of its operations, and of the laws by which it acts, we can, by varying the circumstances of a gravitating body, alter also the velocity of its descent. We accomplish this by bringing other causes into operation, which modify the result, notwithstanding the immutability of the laws of gravity: and thus, by a knowledge of the physical laws, we can modify and subject to our will one of the most constant and universal agents in Nature. The study of the laws which govern natural phenomena which in all cases are so simple, so beautiful, so perfect is, therefore, one of the most fruitful sources of inquiry which the mechanician can pursue. It opens to him new fields of useful inquiry; new applications of known inventions; new and simpler means of accomplishing known effects. And while it points to improvement in every direction, it restrains the judgment from false principles. Where it exists not, it is almost certain that the plans of the mechanician will either be only modified copies of existing inven- tions, or they will degenerate into wild speculations, unsupported on any reasonable foundation. This is particularly observable in the case before us. The numerous failures which have occurred in the practical application of the invention of heating buildings by the circulation of hot water, are all distinctly referrible to the want of this kind of knowledge, and not to the object aimed at being itself unattainable. For whenever the physical laws are intended to be employed as the principal agents in producing any mechanical effect, it is an indispensable condition that simplicity of action be kept in view. While it may further be observed, B 2 4 ' INTRODUCTION. that the endeavours to trace and elucidate the operating causes of the various phenomena, which occur in the course of practical experiments, are the surest means of facilitating original discoveries, as well as of promoting new adaptions of recog- nized principles. The origin of the invention of employing hot water for diffusing artificial heat appears to be hid in considerable obscurity. It is not improbable that, like many other discoveries, it has been re- produced at various periods. It seems, however, to have been first used in France, by M. Bonnemain, in the year 1777, and was employed by him during several years for hatching chickens by artificial heat. The French Revolution, which followed shortly afterwards, put a stop to this, as well as many other useful and scientific inventions, in that country ; and for several years the invention ap- pears to have been entirely dormant ; nor indeed, does it appear ever to have been used by M. Bonne- main except for the purpose above mentioned. About the year 1817, the Marquis de Chabannes introduced a similar apparatus into this country for heating a conservatory, and also heating some rooms in a private house, by pipes leading from the kitchen boiler. In the following year he published, in London, a pamphlet describing this apparatus, and some ingenious modifications of hot-air stoves. The invention appears to have made very little pro- gress for some years. In 1822, Mr. Bacon, a gentleman of fortune, introduced the use of hot water into his forcing-houses, using for the purpose a single pipe of large diameter, communicating with the boiler ; and, by giving a slight elevation to the pipe from the horizontal line, he was thus enabled to produce a circulation of the water, the hot water slowly passing along the upper part of the nearly horizontal pipe, and the colder water returning to the INTRODUCTION. 5 boiler along the lower part of the same pipe. The circulation in this apparatus was very imperfect ; and Mr. Atkinson, an architect, almost immedi- ately afterwards suggested the addition of a second pipe to bring back the colder water to the boiler ; and thus at once the apparatus assumed the form which it has ever since retained. By this alter- ation the apparatus was brought very nearly to the same form as that contrived by M. Bonnemain more than forty years before ; the principal difference being that M. Bonnemain used only very small pipes of gun-barrel size, while Mr. Atkinson used pipes of four or five inches diameter. The honour of this invention has been claimed for Mr. Watt, prior to the time of M. Bonnemain using it in France ; but there appear no grounds for supposing he ever employed it without the in- tervention of steam, as a distributor of heat by circulation, in the manner in which it is now used. The mere motion of hot water in pipes is an in- vention of far greater antiquity than the time either of Watt or Bonnemain. Seneca has accu- rately described the mode of heating the water in the Thermae of Rome, of which Castell has given drawings ; * and which show that the method of heating baths by passing the water through a coil of pipes which passed through the fire was known and practised previous to the Christian era. And, except that these tubes were of brass, instead of iron, they were precisely similar,, both in form and arrangement, to those occasionally used at the present day for the like purpose ; the lapse of nine- teen centuries having apparently added nothing to our knowledge on this subject. Since the first introduction of the hot-water ap- * Castell's "Illustrations of the Villas of the Ancients," p. 10. 6 INTRODUCTION. paratus for warming buildings, the variations made in its more complicated arrangements appear to have been very gradually adopted. Each time that an apparatus has been erected, experimentalists have deviated in some small degree from the model of that which preceded; apparently afraid of venturing on too great a variation, yet requiring, from contingent circumstances, some alteration of its form and application. This mode of proceeding, though natural while the principles were not thoroughly understood, has frequently led to both inconvenience and loss, in consequence of the numerous failures to which it has given rise, by unintentional deviations from the true principles. In the present attempt to elucidate the subject, it will, however, be shown that success needs not be uncertain, provided only that the laws of physics be justly applied and strictly adhered to, So numerous have been the failures which have occurred in this method of heating buildings, that nothing but the intrinsic merits of the invention could possibly have made it retain its hold on the public favour. Every imaginable kind of mistake has been made in apparatus erected on this plan. And these mistakes still continue to be made almost as frequently as ever, notwithstanding the vast number of buildings in which it has been successfully applied, and which might be consulted for correct information. Neither the capabilities of this method of warm- ing, nor the various useful purposes to which it is applicable, are even yet fully appreciated. There are no buildings, however large, to which it cannot be advantageously adapted, nor any that present insurmountable difficulties in its practical applica- tion. In many useful purposes connected with arts and manufactures, it can be most advan- tageously employed, though its application to these INTRODUCTION-. 7 purposes has hitherto been greatly overlooked. Its merits, however, will best appear by the plain statement of facts in the following pages. Since the publication of the first edition of this work, in 1837, ample opportunities have occurred for testing in every variety of form the accuracy of the rules and calculations which were then given, for constructing and apportioning the hot-water apparatus to the varying circumstances under which it could be applied. The most important of the calculations are those on the heated surfaces required to warm a given building, and the proper size of the boiler and the furnace. The data on which were founded the rules, and tables for calcu- lating these proportions, were carefully compared, both experimentally and practically ; and the ex- tensive use which has been made of these rules, with perfect success, leaves no doubt whatever as to their complete accuracy. The object which has been aimed at in this treatise, has been to render the work as clear as possible to practical men ; while at the same time, it should not be below the notice of those who might desire either to acquaint themselves with the scientific principles of the invention, or with the general bearing of the subject, on the health, the comfort, the physical development, and even the duration of life, of a large portion of the human race. The effects of unwholesome air on the animal economy from imperfect ventilation and deleterious methods of producing artificial warmth, is a subject which has hitherto excited far too little attention. The laws which connect man with the physical universe are of far higher general- isation than many are inclined to believe. They bind together not alone the phenomena of our own world, but of the entire material universe. And yet mankind vainly suppose they can act as they 8 INTRODUCTION. please with relation to these immutable laws, that they can fashion them to their own will, and to their own imagined wants; and instead of endeavouring to make themselves more thoroughly acquainted with these laws, devised by unerring Wisdom for the universal good, they choose rather to act either in direct opposition, or, at least, in total neglect of those great truths which philosophy has been permitted to discover and unfold. But it is certain that they cannot with impunity neglect the great truths which physiology discloses; nor can they place themselves in opposition to those fundamental laws which bind together the whole physical universe, without entailing upon them- selves the penalties which the Great Author of those laws has made the inseparable condition of their infringement. It is hoped the following pages will place this matter in a clear point of view, in a sufficiently popular manner. A PEACTICAL TKEATISE, PART FIRST. ON WARMING BUILDINGS BY HOT WATER, AND ON THE LAWS OF HEAT, ETC. CHAPTER I. Cause of Circulation of the Water Inclination of the Pipes Necessity for Air- vents Open and Close Boilers Pressure of Water Expansive Power of Steam Effect produced on the Circulation by increased Height of the Pipe Compression of Water Branch Pipes Variations in Level of Pipes. (AKT. 1.) In endeavouring to explain the prin- ciples of the various forms of apparatus in which hot water, circulating through iron pipes, is em- ployed as a means for distributing artificial heat, the first object should be to point out, as clearly as possible, the power which produces the circulation of the water ; for without a clear perception of this part of the subject, there will always be an uncer- tainty as to the results which will obtain, when any departure is made from the most simple form and arrangement of the different parts of the appa- ratus. It is this circulation which causes all the water in the apparatus to pass successively through the boiler, and then communicates the heat that is thus received from the fuel to the 10 CAUSE OF CIRCULATION. various buildings or apartments which it is de- signed to warm. Without this circulation, those parts of the apparatus which are remote from the fire would not receive any heat ; because water is so bad a conductor that it is only when there exists perfect freedom of motion among its par- ticles, that it acts at all as a conductor of heat, so far, at least, as regards any practical and useful effect. It is in a complete and perfect circulation, therefore, that the efficiency of a hot-water appa- ratus depends, and that the greatest amount of heat is obtained by it from a given quantity of fuel. (2.) The only treatise hitherto published, in which any attempt has been made to explain the cause of the circulation of the water in this de- scription of apparatus, is Mr. Tredgold's work on heating by steam ; and the effect is there referred entirely to an erroneous cause. In the Appendix to that work, the cause of motion is thus explained. FIG. i. " H tne vesse ls A B, and pipes, be filled with water, ' 6 and heat be applied to the vessel A, the effect of heat will expand the water in the vessel A, and the sur- face will, in consequence, rise to a higher level, a d, the former general level surface being b b. The density of the fluid in the vessel A will also decrease in consequence of its expansion ; but as soon as the column c d (above the centre of the upper pipe) is of a greater weight than the column /?, motion will commence along the upper pipe from A to B, and the change this motion produces in the equilibrium of the fluid will cause a corresponding motion in the lower pipe from B to A." (3.) Now it is certain that this theory will not account for the circulation of the water under all CAUSE OF CIRCULATION. 11 circumstances, and every variety of form of the apparatus ; and as the cause of motion must be the same in all cases, any explanation which will not apply universally must necessarily be erroneous. Were this the true cause of motion, there would be no difficulty in obtaining a circulation in all cases ; for, according to this reasoning, whenever the level of the water is higher in the boiler than in the pipes or even if an upright pipe were placed on the top of a close boiler, by which the pressure on the surface would be increased the water must of necessity circulate through the pipes : while, on the other hand, if this hypothesis were correct, the water in an apparatus constructed as in the following figure would not circulate at all. (4.) Suppose the apparatus, fig. 2, to be filled with cold water, and the two stop-cocks, fg t to be closed : on applying heat to the vessel A, the water it contains will expand in bulk, and a part of it will flow through the small waste-pipe x, which is so placed as to prevent the water rising higher in the vessel A than the top of the vessel B. The water which remains in the vessel A, after it has been heated, and a portion of it has passed through the waste-pipe #, will evidently be lighter than it was before, while its height will remain unaltered. Suppose, now, the two cocks, fg, to be simultaneously opened ; the hot water in the boiler A will immediately flow towards B through the upper pipe, and the cold water in B will flow into A through the lower pipe ; although, by the hypothesis previously alluded to, unless the water in the vessel A, above the pipe c, were heavier, or rose to a higher level than the water 12 CAUSE OF CIRCULATION. in the vessel B, no circulation could take place. In this case, therefore, we must find another ex- planation of the cause of motion. (5.) The power which produces circulation of the water will be found to arise from a different cause than that which is here stated ; for we see that this reason is insufficient to account for the effect, even in one of the simplest forms of the apparatus. In order to explain this, let us suppose heat to be applied to the boiler A, fig. 2. A dilation of the volume of the water takes place, and it be- comes lighter ; the heated particles rising upwards through the colder ones, which latter sink to the bottom by their greater specific gravity, and they in their turn become heated and expanded like the others. This intestine motion continues until all the particles become equally heated, and have received as much heat as the fuel can impart to them. But as soon as the water in the boiler be- gins thus to acquire heat, and to become lighter than that which is in the opposite vessel B, the water in the lower horizontal pipe d is pressed by a greater weight at z than at y, and it therefore moves towards A with a velocity and force equal to the difference in pressure at the two points y and z* The water in the upper part of the vessel B would now assume a lower level, were it not that the pipe c furnishes a fresh supply of water from the boiler to replenish the deficiency. * To any person unacquainted with the science of Hydro- statics, this may probably appear erroneous, because the quan- tity of water contained in A is much greater than that in B. It is, however, one of the first laws of Hydrostatics that the pressure of fluids depends for its amount on the height of the fluid only, and is wholly irrespective of the bulk, or actual quantity of fluid : therefore, a pipe which is not larger than a quill will transmit the same amount of pressure as though it were a foot, or a yard, in diameter, provided the height be alike in both cases. (See Art. 10.) INCREASED VELOCITY OF CIRCULATION. 13 By means of this unequal pressure on the lower pipe, the water is forced to circulate through the apparatus, and it continues to do so as long as the water in B is colder, and therefore heavier, than that which is in the boiler. And as the water in the pipes is constantly parting with its heat, both by radiation and conduction, while that in the boiler is as continually receiving additional heat from the fire, an equality of temperature never can occur ; if it did, the circulation would cease. (6.) We see, then, that the cause of the circula- tion is the unequal pressure on the lower pipe of the apparatus ; and that it is not the result of any alteration which takes place in the level of the water, as has been erroneously supposed. Indeed, the truth of this appears so plain, that it would scarcely require explanation at such a length, were it not that false opinions in this matter appear to have led to many errors in practice. As the tircukdiou_isjc^ descending pipe bemff colder, and therefore heavier than that which is in the boiler, it follows, as a necessary consequence, that the colder_the_jwater_ in the descending pipe shall be, relatively to that which is in the boiler, so P^C^ the_jnQre rapid wiUbe_jts_iiiQJiQi]^ In such an arrangement of Flo pipes as fig. 3, the water in the de- scending pipe e f, having to travel farther before it descends to the lower part of the boiler than when the pipes are arranged as in fig. 2, it will of course be colder at the time of its descent, in the case fig. 3 than in fig. 2, and therefore the circulation will be more rapid. The height of the descending pipe is sup- 14 INCREASED VELOCITY OF CIRCULATION. posed to be alike in both cases, because c d and ef are together equal to a b. (7.) Some persons have imagined that if the pipes be inclined, so as to allow a gradual fall of the water in its return to the boiler, additional power will be gained; as, for instance, by in- clining the lower pipe of fig. 3, so as to make the part e lower than d, and then reducing the vertical height of the return pipe ef. This, at first, ap- pears very plausible, particularly with regard to some peculiar forms of the apparatus ; but the principle is, in fact, entirely erroneous. The author of the Appendix to Tredgold's work, already quoted, in consequence of adopting the erroneous hypothesis, that the motion of the water commences in the upper pipe instead of the lower one, as already described, appears to recommend an inclination being given to the pipes in this manner; and he has described an apparatus that he erected, to which a fall of four feet was given to the water by this method. This error appears to arise from treating the subject as a simple question of hydraulics, instead of a compound result of hydrodynamics. But, in order to ascertain what is the effect of thus inclin- ing the pipes, let us suppose an extreme case. It is evident that the farther the water flows, the colder it becomes. It must, therefore, be hotter at A (fig. 4) than it is at B, and hotter at B than c, and so on. Let us, now, suppose any arbitrary number to represent the specific gravity of the water at A ; say, for instance, 94. The water at B, in consequence of having flowed farther, and therefore become colder and heavier, will be, we will suppose, of the specific gravity of 95 ; at c, for the same reasons, it will be -96, and so on to F, where, from having run the greatest dis- tance from the boiler, it will be the heaviest of INCREASED VELOCITY OF CIRCULATION. 15 all ; * and the sum of all these numbers represents the pressure at F. But had the pipe, instead of inclining gradually from the boiler, continued on a level to a, as represented by the dotted lines, the water would have been as cold, and therefore as heavy, at a as by the former arrangement it is at F, and therefore its specific gravity would be the same, namely, "99. Now, as the pressure of water FIG. 4. is as its vertical height, by dividing the vertical pipe, a/, in the same manner as we have done with the inclined pipe, we shall have a, b, c, d, e, /, each equal in altitude to the corresponding divi- sions of the inclined pipe; and as the specific gravity of each division is equal to *99, the total number representing the sum of all these will show the pressure at the point/. We shall hence find the pressure of the vertical pipe, compared with that of the inclined pipe, will be as 5*94 is to 579.t (8.) It is evident from this that there must be a considerable loss on the effective pressure by making the return pipe incline below the horizontal level. Nor can this loss be compensated in any * The real specific gravities could not conveniently be used in this illustration, as they would require several decimal places of figures. (See Table IV., Appendix.) | If the strict analogy were carried out, the difference ought to be greater than is here represented, because it is evident that instead of a, 6, c, d, &c., being each of equal density, b will be heavier than a, and c heavier than 6, and so on ; but the illustration, as now given, will be sufficient to show the principle. 16 AIR- VENTS. manner; for the total height being the same, whether the water descends through a vertical or through an inclined pipe, the force or pressure will only be equal to the specific gravity of the matter. And as there is actually more matter in a pipe filled with cold water than in a similar pipe filled with hot water, the gravitating force will be inversely proportional to the temperature ; that is, it will be less in proportion as the temperature of the water is greater. There must, therefore, under all circumstances, be a positive loss of effect by inclining the pipe in the manner stated.* (9.) In such a form of apparatus as fig. 3, there would be no circulation of the water, unless some plan were adopted by which the air would be dislodged from the pipes, and a ready escape provided for it. Nothing is more necessary to be attended to than this. In the more com- plicated forms of the apparatus, the want of an efficient means of discharging the air has been the cause of innumerable failures. Suppose we require the apparatus fig. 3 to be filled with water : by pouring it in at the boiler, the pipe ef will of course be filled simultaneously with it, and then the lower pipe d ; and the water will then gradually rise higher in the boiler until it partially fills the upper pipe. At last the orifice of the pipe x will become full, and the air which is in the pipe c x, being thus prevented from escaping, will be forced towards c by the weight of water behind it ; and if the quantity of air be sufficiently large, it will entirely prevent the junction of the water at c, and cut off the communication between the two pipes at * It must not be supposed that this reasoning at all applies to any case of pure hydraulics. If the question were only as regards a fluid of uniform temperature, then the greatest effect would be obtained by using an inclined pipe ; but the fluid which we are now regarding is one of a varying density and temperature, which materially alters the conditional results. AIR VENTS. 17 c d. If an opening be now made in the pipe at e, the air will immediately escape, being forced out by the greater density of the water; and there- fore, either a valve or a cock must be placed there, to allow of its discharge, for otherwise no circu- lation of the water can ensue. As water, while boiling, always evolves air, it is not sufficient merely to discharge the air from the pipes on first filling them with water, because it is continually accumulating:* and in many instances, particu- larly with a close-topped boiler, it is desirable to have the air-vent self-acting, either by using a valve or a small open pipe ; in others, a cock will often be found most convenient. The size of the vent is not material, as a very small opening will be sufficient to allow the air to escape. For the rapidity of motion in fluids when pressed by equal weights being inversely propor- tional to their specific gravities, as water is 827 times more dense than air, an aperture which is sufficiently large to empty a pipe in fourteen minutes if it contained water, would, if it con- tained air, empty it in about one second.f Air being so very much lighter than water, it is of course necessary that the vents provided for its escape be placed in the highest part of the appa- ratus, for it is there it will always lodge ; and sometimes it will be found necessary to have several vents in different parts of the apparatus. Though it is perfectly easy, as far as the mere mechanical operation is concerned, to provide for the discharge of the air from the pipes, it requires * If the water were always kept boiling, the air, after being once expelled, would not again accumulate. But when the water cools, it again imbibes air; and thus a continual dis- charge of air occurs in a hot-water apparatus. f Manchester Memoirs, vol. v., p. 398 ; and Nicholson's Journal, vol. ii., p. 269, also Bobinson's Philosophy, vol. iii., pp. 682-696. Regnault (Ann. de CUmie) states this to be 813-67 to 1. C 18 CLOSE BOILERS. much consideration and careful study to direct the application of those mechanical means to the exact spot where they will be useful. The sub- ject will, therefore, be again adverted to in a subsequent chapter, when we have investigated the principles of the apparatus in some of its more complex forms of arrangement. (10.) The plan of the boiler and pipes which has been given in the preceding figures is ap- plicable to comparatively but few purposes; for, in consequence of the boiler being open at the top, the pipes must be laid level with it, other- wise the water would overflow. When the pipes are required to rise higher than the boiler, the latter must be closed at the top, and the pipes can then be carried upwards to any required height. This arrangement possesses considerable advan- tages : for the higher we make the ascending and descending pipes, the more rapid is the circulation of the water.* This effect will necessarily result from the principles already explained : because, as motion is obtained in consequence of the differ- ence in weight of the ascending and descending columns of water, the greater the height of these columns, the greater must be the difference in their weight, and therefore the greater must be the force and velocity of motion. The advantages which may be derived from an increased height in the ascending pipe cannot, how- ever, be applied in an unlimited manner, because it might lead to inconvenience, and even be at- tended with some degree of danger to the appa- ratus, if the increased height were not regulated by * In this and the preceding figures, the pipes are drawn so as to show the flow and return pipes lying one above the other. A moment's consideration will satisfy anyone that the effect will be the same if they were placed side by side on the same level ; and frequently this arrangement is far more convenient. PRESSURE OF WATER, 19 FIG. 5. certain rules, and these, when ascertained, applied with judgment. The pressure produced by water is calculated by its columnar height, reckoned from the bottom of the vessel in which it is contained. Whether the vessel be open at the top and very deep, or closed at the top and very shallow, but with a pipe attached to the top, like the boiler and pipe A B, fig. 5, the pressure will be exactly alike in either case, if the deep open boiler be equal in height to that of the shallow boiler and upright pipe conjointly ; notwithstanding the quantity of water may be ten times, or 100 times, larger in the one case than the other. Neither is the pressure increased, however large may be the diameter of the pipe which is used ; nor is it lessened if the pipe be inserted at the side of the boiler, as in the dotted lines y z, fig. 5, instead of being placed on the top. As the pressure of water on each square inch of surface increases at the rate of about half a pound * for every foot of perpendicular height, if the height from the bottom of the boiler to the top of the pipe be six feet, the pressure on the bottom will be three pounds on every square inch of surface ; but if the boiler be two feet high, the pressure on the top * The exact weight of a perpendicular foot of water with a base in one square inch, is 3030 24 grains, at the temperature of 60 ; which is therefore only 4328 of a pound avoirdupois. A column of water 30 feet high only gives a pressure of 12-68 Ibs., instead of 15 Ibs., as usually reckoned; and there- fore the real height of a column of water, which will give a pressure equal to one atmosphere, must be 34 feet. c 2 20 COMPRESSION OF WATER. which will be a pressure upwards will be only two pounds on every square inch of surface, because it will only have four perpendicular feet of water above it. If the height of the pipe be increased to 28 feet, and the depth of the boiler be two feet, as before, making 30 feet together, the pressure will be 15 Ibs. on each square inch of the bottom, 14 Ibs. on each square inch of the top, and an average pressure of 14J Ibs. on each square inch of the sides of the boiler. Suppose, now, a boiler to be three feet long, two feet wide, and two feet deep, with a pipe 28 feet high from the top of the boiler ; when the apparatus is filled with water there will be a pressure on the boiler of 66,816 Ibs., or very nearly 30 tons.* (11.) When a great pressure is used in a hot- water apparatus, in the manner here described, it is necessary that the materials of the boiler should be stronger than they otherwise need be; and more care is also required in making the joints very sound, for attaching the pipes to the boiler so as to prevent any leakage. But when these mechanical difficulties are overcome, the amount of danger arising from a great pressure of water must not be overrated, for it might otherwise deter some persons from adopting this form of the appa- ratus, notwithstanding its numerous advantages. (12.) The great danger that arises from the bursting of a steam apparatus is in consequence of the elastic force of steam, which, at very high temperatures, is immense. But water possesses * This enormous pressure on vessels which contain water does not occur in the case of pipes merely used for the conveyance of water ; for in this case, when the water runs out of the lower end of a long vertical pipe as fast as it runs in at the top, although it be always kept perfectly full, still there may probably be no pressure whatever on any part of the pipe, however great its length may be. Robinson's Mechanical Philo- sophy, vol. ii., p. 580, et seq. BRANCH-PIPES. 21 very little elasticity compared with steam, its ex- pansive force being almost inappreciable under ordinary circumstances. At the pressure of 15 Ibs. per square inch, the water in the boiler last de- scribed, which holds about 75 gallons, would be compressed rather less than one cubic inch, or about 1-3 5th part of a pint.* The expansive force of the water in this apparatus, therefore, even sup- posing it were to burst, would be perfectly harm- less ; for it could only expand as much as it had been compressed; namely, one cubic inch. The effect on a boiler, by the pressure of the water, will be precisely similar to a weight pressing upon it equal to the estimated pressure of the water, which is quite different from the sudden and violent force produced by the expansive power of steam. As an apparatus of this kind could never be forced asunder, as in the explosion of a steam-boiler, the only result, under the worst circumstances that could occur, would be a leakage of the water, in consequence of the cracking of some part of the boiler. Neither the principle nor the practical working of the apparatus is in the least affected by having any additional number of pipes leading out of or into the boiler. The effect is the same whether there are more flow-pipes than return-pipes, or, conversely, more return -pipes than flow- pipes. If there be two or more flow-pipes, whether they lead from the boiler separately, or branch from one main pipe, or whether they lead from op- * According to the experiments of Professor Oerstead, the compression of water is '0000461 by a pressure of 15 Ibs. per square inch ; and he has found that it proceeds pari passu as far as 65 atmospheres, which was the limit to which his experi- ments extended. This compression is about equal to reducing a given bulk of water -^ of its volume by a pressure of 20,000 Ibs. per square inch. Eeport British Scientific Associa- tion, vol. ii., p. 353. 22 BRANCH-PIPES. posite sides of the boiler, or all from one side, each range of pipes will act separately and have a velocity of circulation peculiar to itself. One range of pipes may act efficiently, while another, though attached to the same boiler, may have no circulation whatever through it; and this effect will not be altered whether the pipes return into the boiler separately, or all unite into one main pipe. The pressure, supposing the pipes to rise vertically from the boiler, will likewise be pre- cisely the same, however numerous the pipes may be. This circumstance is one of the pecu- liarities which distinguish fluids from solids. For if the fluid in any close vessel be pressed by the fluid contained in an upright pipe, so as to pro- duce a pressure of 10 Ibs. on a square inch ; if a second pipe, capable of exerting a similar pres- sure with the first, be placed upon the same vessel, the united pressure will still be only 10 Ibs. per square inch; and it would be no more, though ever so large a number of pipes were added, provided the vertical height were not in- creased. (13.) One advantage may be obtained by caus- ing the water to rise from the boiler by an as- cending pipe, as in fig. 5, which cannot be accomplished by any other means; and it is of considerable importance to ascertain its true effect, as it has produced consequences which are not generally attributed to the right cause. The force and velocity of motion of the water, being proportional to the vertical height of the ascending and descending pipes ; by increasing this height, a facility is afforded for taking the pipes below the horizontal level, as, for instance, when it is required to pass them under a door- way, or other similar obstruction, before they finally return to the bottom of the boiler. In- VARIATIONS OF LEVEL. 23 numerable failures have occurred in attempting to make the water descend and again to ascend in this manner, the success of the experiment depending entirely upon the vertical height of the ascending pipe above the boiler. These alter- ations of the horizontal level, which are frequently very desirable, have, of course, their limits, beyond which they cannot be carried. It is from not having ascertained what are these limits, and what the cause of the limitation, that such uncertainty has hitherto prevailed with regard to this experiment; for it frequently succeeds, but more frequently fails, in practice. It will be most convenient, however, to consider this subject after we have ascertained what is the amount of motive power of the water in this kind of apparatus. 24 CHAPTER II. On the Motive Power of the Water On increasing the Motive Power Velocity of Circulation Circulation of Water below the Boiler Direct and Eeversed Circulation Air- Vents Supply Cisterns Expansion of Pipes, &c. (14.) IT has already been mentioned that the power which produces circulation of the water is the unequal pressure on the return-pipe, in conse- quence of the greater specific gravity of the water in the descending pipe, above that which is in the boiler. Whether this force acts on a long length of return-pipe, as y z, fig. 2, or only on a very short length, as /, fig. 3, the result will be precisely similar. Now, it is evident that, if this unequal pressure is the vis viva, or motive power, which sets in motion the whole quantity of water in the ap- paratus, it is only necessary, in order to ascertain the exact amount of this force, that we know the specific gravities of the two columns of water; and the difference will, of course, be the effective pressure, or motive power. This can be accurately determined when the respective temperatures of the water in the boiler and in the descending pipe are known.* * A thermometer suitable for this purpose was long since proposed by M. Fourier, and called by him the thermometer of contact. It consists of a very small iron cup, just large enough to hold the bulb of the thermometer, but without a bottom to it. Over the bottom, a piece of goldbeaters' skin is to be tied, and the cup is then to have a little mercury put in it, into which the bulb of the thermometer is to dip. The MOTIVE POWER. 25 As this difference of temperature rarely exceeds a very few degrees in ordinary cases, the differ- ence in the weight of the two columns must necessarily be very small. But, probably, the very trifling difference which exists between them, or, in other words, the extreme smallness of the motive power, is very imperfectly compre- hended, and will, perhaps, be regarded with some surprise when its amount is shown by exact computation. (15.) In order to ascertain, without a long and troublesome calculation, what is the amount of motive power for any particular apparatus, the following Table has been constructed. An ap- paratus is assumed to be at work, having the temperature in the descending pipe 170 ; and the difference of pressure upon the return-pipe is calculated, supposing the water in the boiler to exceed this temperature by from 2 to 20. This latter amount exceeds the difference that usually occurs in practice. By refering to the annexed Table, it will be found that when the difference between the tem- perature of the ascending and the descending columns amounts to 8, the difference in weight is 8*16 grains on each square inch of the section of the return-pipe, supposing the height of the boiler A, fig. 2, to be 12 inches. This height, how- ever, is only taken as a convenient standard from which to calculate ; for, probably, the actual height will seldom be less than about 18 inches, and, in many cases, it will be considerably more. cup, when placed on any hot surface, will accurately show the temperature, the contact between the skin and the surface being extremely perfect. As a permanent adjunct, however, to the hot-water apparatus, it is much better to use a ther- mometer fitted with a hollow screw-nut, by which it can be accurately fixed to the apparatus, and the bulb actually dips into the water of the apparatus. 26 TABLE OF PRESSURES. TABLE I. in Weight of Two Columns of Water, each One Foot high, at various Temperatures. Difference In Temperature Two Columns Difference in Weight of Two Columns of Water contained in different- Pipes, each One Foot in height sized of Water : in Degrees of Fahrenheit's Scale. 1 in. diam. 2 in. diam. 3 in. diam. 4 in. diam. per sq. in. grs. weight. grs. weight. grs. weight. grs. weight. gre. weight. 2 1-5 6-3 14-3 25-4 2-028 4 3-1 12-7 28-8 51-1 4-068 6 4-7 19-1 43-3 76-7 6-108 8 6-4 25-6 57-9 102-5 8-160 10 8-0 32-0 72-3 128-1 10-200 12 9-6 38-5 87-0 154-1 12-264 14 11-2 45-0 101-7 180-0 14-328 16 12-8 51-4 116-3 205-9 16-392 18 14-4 57-9 131-0 231-9 18-456 20 16-1 64-5 145-7 258-0 20-532 %* The above Table has been calculated by the formula given with Table IV., in the Appendix, for ascertaining the specific gravity of Water at different temperatures. The assumed temperature is from 170 to 190. Now, suppose, in such a form of apparatus as fig. 2, the boiler to be two feet high ; the distance from the top of the upper pipe to the centre of the lower pipe to be 18 inches ; and the pipe four inches diameter ; if the difference of temperature between the water in the boiler and in the de- scending pipe be 8, the difference of pressure on the return-pipe will be 153 grains, or about one- third part of an ounce weight : and this will be the whole amount of motive poioer of the apparatus, whatever be the length of pipe attached to it. If such an apparatus have 100 yards of pipe, four inches diameter, and the boiler contains, suppose 30 gallons, there will be 190 gallons, or 1,900 Ibs. MOTIVE POWEK. 27 weight of water kept in continual motion by a force only equal to one-third of an ounce.* This calculation of the amount of the motive power, in comparison with the weight moved, will vary under different circumstances ; and in all cases the velocity of the circulation will vary simultaneous^ with it. (16.) It will be observed in the foregoing Table that the amount of motive power increases with the size of the pipe : for instance, the power is four times as great in a pipe of four inches dia- meter as in one of two inches. The power, how- ever, bears exactly the same relative proportion to the resistance or weight of water to be put in motion in all the sizes alike. For although the motive power is four times as great in pipes of four inches diameter as in those of two inches, the former contains four times as much water as the latter ; the power and the resistance, therefore, are relatively the same. (17.) As the motive power is so small, it is not at all surprising that, by an injudicious arrange- ment of the different parts of an apparatus, the * M. Dutrochet made some experiments on the influencing causes of the motion of currents of liquids. He found that a difference of temperature of 1 -800th of a degree was sufficient to produce currents when aided by light, but the motions ceased on light being excluded. In the absence of light (except what was necessary to distinguish the orbject) the sound of a violoncello or of a bell produced circulation in the liquid. He therefore concluded that the most minute differences of tem- perature will produce motion among the particles of a fluid when aided by light or any other cause which produces feeble vibrations to the particles of the fluid. Quart. Journal of Science, vol. xxix., p. 194. It is not stated how this small excess of heat was ascertained. The effects of sound may possibly be in some way connected with a fact which Biot at- tempted to demonstrate by experiment that every vibration of a sonorous body in elastic media is accompanied with a change of temperature. Memoires de la Societe d'Arcueil, 1809 ; and Betrospcct of Science, vol. v., p. 429. 28 MOTIVE POWER. resulting motion may frequently be impeded, and sometimes even totally destroyed; for the slower the circulation of the water, the more likely is it to be interrupted in its course. There are two ways by which the amount of the motive power may be increased; one, by allowing the water to cool a greater number of degrees between the time of its leaving the boiler and the period of its return through the descending pipe; the other, by in- creasing the vertical height of the ascending and descending columns of water. The effects pro- duced by these two methods are precisely similar ; for, by doubling the difference of temperature between the flow-pipe and the return-pipe, the same increase in power is obtained as by doubling the vertical height ; and tripling the difference in temperature is the same as tripling the vertical height.* This can be ascertained by referring to the preceding Table. Thus, suppose, when the difference of temperature is 8, and the vertical height four feet, that the motive power is 32*6 grains per square inch : if the difference of tem- perature be increased to 16, while the height remains the same, or if the height be increased to eight feet while the temperature remains as at first, the pressure, in either case, will be 65*2 grains per square inch, or twice the former amount. The same rule applies to other differ- ences, both of height and temperature. (18.) Almost the only two methods of increasing the difference of temperature between the ascend- ing and the descending columns, are, either by in- creasing the quantity of pipe, so as to allow the water to flow a greater distance before it returns to the boiler; or, by diminishing the diameter of the pipe, so as to expose more surface in proportion * This is without reference to friction : the effect will there- fore be a little modified by this cause. (See Art. 22 and 4.3.) MOTIVE POWER. 29 to the quantity of water contained in it, and by this means to make it part with more heat in a given time. (See Art 61.) The first of these two methods, however, is necessarily limited by the extent of the building that is to be heated, to which the quantity of pipe must be adjusted in order to obtain the required temperature : and, as to the second, there are many objections against reducing the size of the pipes, which will be con- sidered presently. The increase of motive power to be obtained by increasing the height of the ascending column of water is, therefore, what must principally be depended on, when additional power is required to overcome any unusual ob- structions. (L9.) In all cases the rapidity of circulation is proportional to the motive power ; and, in fact, the former is the index of the latter, and the measure of its amount. For if, while the resistance remains uniform, the motive power be increased in any manner or in any degree, the rate of circula- tion will increase in a relative proportion. Now the motive power, irrespective of retardation by friction, may be augmented, as we have already seen, either by increasing the vertical height of the pipe, by reducing its diameter, or by in- creasing its length. If by any of these means the circulation be doubled in velocity, then, as the water will pass through the same length of pipe in half the time it did before, it will only lose half as much heat as in the former case, because the rate of cooling is not proportional to the distance through which the water circulates, but to the time of transit. If, then, by sufficiently increasing the vertical height, and doubling the velocity of the circulation, the difference between the tem- perature of the flow-pipe and the return-pipe be diminished one-half, it might be supposed that the 30 MOTIVE POWER. motive power of the apparatus would remain the same, and no advantage would appear to be gained by this means. But this is not exactly the case. For although, whether we double the vertical height, or double the horizontal length, we shall, in either case, increase the velocity of motion; yet it will require a quadruple increase of verti- cal height, or a quadruple increase of horizontal length, to obtain double the original rate of cir- culation. (See Art. 21.) The increased velocity is, therefore, indicative of increased power ; and, in a hot-water apparatus, it is the increased velo- city of circulation which overcomes any obstruc- tions of a greater amount than ordinary. (20.) The velocity with which the water cir- culates in this kind of apparatus, although con- tinually subject to variation, can nevertheless be calculated theoretically, when certain data are agreed upon, or are ascertained to exist. When the two legs of an inverted siphon A, fig. 6, are filled with liquids of unequal density, if the stop-cock, z, be turned, so as FIG. 6. to open the communication between them, the lighter liquid will move upwards with a force proportional to the difference of weight of the two columns, provided the bulk of the two liquids be equal. If one leg contains oil and the other con- tains water, the relative weights will be about as nine to ten ; therefore it will re- quire 10 inches of vertical height of oil to balance 9 inches of water, and no motion will in that case take place. But when equal bulks of the two fluids are used, the velocity of motion with which tne lighter fluid is forced upwards is equal to the velocity which a solid body would acquire in fall- ing, by its own gravity, through a space equal to VELOCITY OF CIRCULATION. 31 the additional height which the lighter body would occupy in the siphon, supposing a similar weight of each fluid be used. This velocity is easily cal- culated. A gravitating body falls 16 feet in the first second of time of its descent, 64 feet in two seconds, and so on, the velocity increasing as the square of the time ; therefore the relative velocities are as the square roots of the heights. Now, in the case of the siphon, which we have supposed to con- tain a column of water and a column of oil, as the oil ought to be 10 inches high to balance the 9 inches of water, the oil in the one leg will be forced up- wards with a velocity equal to that which the water (or any other body) would acquire by falling through one inch of space ; and this velocity, we shall find, is equal to 138 feet per minute* (21.) To estimate the velocity of motion of the water in a hot-water apparatus, the same rule will apply. If the average temperature be 170, the difference between the temperature of the ascend- ing and the descending columns 8, and the height * The velocity will be as the square root of 16 feet per second to the square root of the additional height which an equal weight of the lighter liquid would occupy, reduced to the decimal of a foot ; and asfthe acquired velocity of a body at the end of a given time is twice as much as the distance it passes through in arriving at any given velocity by accele- rated motion, or, in other words, as a body which falls through 16 feet of space, in one second, will proceed at the rate of 32 feet per second afterwards, without receiving any additional impulse ; so the velocity found by this rule will be only half the real velocity; and the number thus obtained must be multiplied by 2. The velocity will, therefore, be found by multiplying the square root of the difference between the height of the two columns in decimals of a foot by the square root of 16, and then, multiplying that product by 2, will give the real velocity per second. The discharge through a siphon, employed to empty casks and other vessels, can also be calculated by this rule: the velocity of motion will be equal to the difference in length of the two legs. 32 VELOCITY OF CIRCULATION. 10 feet ; when similar weights of water are placed in each column, the hottest will stand '331 of an inch higher than the other;* and this will give a velocity equal to 79 2 feet per minute. If the height be 5 feet, the difference of temperature remaining as before, the velocity will be only 55*2 feet per minute ; but if the difference of temperature in this last example had been double the amount stated that is, had the difference of temperature been 16, and the vertical height of the pipe 5 feet then the velocity of motion would have been 79 2 feet per minute, the same as in the first example, where the vertical height was 10 feet, and the difference of temperature 8. This, therefore, proves, in cor- roboration of what has been already stated (Art. 19), that reducing the temperature of the water, either by using smaller pipes, or by increasing the length through which it flows, has the same effect on the circulation as increasing the vertical height, leaving out of consideration the question of friction. The velocity for 3 feet of vertical height, by the same rule, will be 43 2 feet per minute, for 2 feet of vertical height it will be 36 feet per minute, and for 18 inches of vertical height it will be 30 '7 feet per minute, if the difference of temperature between the two columns be in each case 8, the same as in the former examples. It must here be observed, however, that, although it appears by these calcu- lations that increasing the vertical height of the pipe fourfold will produce a double velocity of circulation, as the water will then pass through the pipe in half the time, the difference between the temperature of the flow -pipe and the return- pipe will be lessened, and the velocity will at last become a mean rate ; so that the mere quadruple increase of vertical height, without the horizontal * The expansion of water will be found in Table IV., Appendix. VELOCITY OF CIRCULATION. 33 length be at the same time increased, will only produce a rate of circulation about one and a half times the original velocity. (22.) Such is the result of theory ; but, although this be true in itself, we shall, in practice, find but few cases that in any way agree with these results, in consequence of other causes modifying the effects. Even in an apparatus in which the length of pipe is not very considerable, where the pipes are of large diameter, and the angles few, a large de- duction from the theoretical amount must be made^ to represent, with tolerable accuracy, the true velo- city. And in more complex apparatus the velocity of circulation is so much reduced by friction, that it will sometimes require from 50 to 90 per cent, and upwards to be deducted from the calculated velocity, in order to obtain the true rate of circu- lation.* The calculation of the friction of water * It has been found by experiment (Robinson's Philosophy, vol. ii., p. 336), that a smooth pipe 4^ inches in diameter, and 500 yards long, yields but one-fifth of the quantity of water which it ought to do, independent of friction. And Mr. George Eennie found (Philosophical Transactions, 1831) that the velo- city of a half-inch pipe was reduced nearly three-fourths (that is, from 3 - 7 to 1) by increasing its length from 1 foot to 30 feet ; that three semicircular bends reduced the velocity ^ in a short pipe, and 14 such bends reduced it ^ of its velo- city, while 24 right-angled bends reduced the velocity nearly two-thirds. The results of M. Prony's experiments led him to adopt the formula V = 26-79 for the discharge through straight pipes : D being the diameter of the pipe ; Z the altitude of the head of water ; L the length of the pipe in metres ; and V the mean velocity. M. Dubuat's formula for diminution by flexure is E = -^^ ; where E is the resist- oOOO ance ; V the mean velocity ; S the sine of the angle of inci- dence ; n the number of equal rebounds. Dr. Young (Philo- sophical Transactions, 1808) objects to this theory, and gives a different one, which he considers more nearly to represent the true result. D 34 VELOCITY OF CIRCULATION. passing through pipes is alike complicated and unsatisfactory. Though the question has been investigated by some of the most able philosophers and mathematicians, a simple and correct formula on this subject is still a desideratum ; and in the present state of knowledge of the subject it would be almost impossible to determine what would be the resulting velocity of circulation in a hot-water apparatus of complicated construction.* (23.) In addition to these ordinary causes which impede the circulation, and which are common to all hydraulic experiments, there is another that is still more important, and is peculiar to the hot- water apparatus. The vertical angles in the pipe, or those angles which carry the pipe below the horizontal level, increase the resistance in this case to a very considerable extent, for they oppose not merely a passive resistance by friction, but they engender a force of their own, tending in an opposite direction to that of the prime moving power. The motion of the heated particles of water is very different in passing through an ascending pipe, compared with that which takes place in a descending pipe. The heated particles rise up- wards through an ascending pipe with great rapidity, and when the space occupied by the displaced particles is supplied by water from * In Robinson's Mechanical Philosophy, vol. ii., pp. 261-627, will be found much information on this subject, with the re- sults of nearly all the experiments that have been made. Also see Dr. T. Young, Philosophical Transactions, 1831 ; Nicholson's Journal, vol. xxii., p. 104, and Philosophical Magazine, vol. xxxiii., p. 123 ; Mr. G. Kennie, Philosophical Transactions, 1831, and Reports Brit. Sci. Assoc., vol. ii., p. 153, and vol. iii., p. 415. In these several works are given the experiments of Bossut, Prony, Dubuat, Eytelwein, Vonturi, Borda, and others, which comprise nearly all that is known on this difficult subject. OBSTRUCTIONS TO CIRCULATION". 35 below, the motion becomes general in one di- rection, being most rapid in the centre, and gradually decreasing towards the circumference, where, on account of the friction, it becomes com- paratively slow. But in a descending pipe the circumstances are very different, the motion being much more like that of a solid body. For as the heated particles are unable to force their way downwards through those which are colder and heavier than themselves, the only motion arises from the cold water flowing out at the bottom, its place being then supplied at the top by that which is warmer, the whole apparently moving together, instead of the molecular action which has been described as the proper motion in an ascending pipe. (24.) In an apparatus constructed as fig. 7, the motion through the boiler and pipe A B, and through the descending pipe c D, takes place ac- cording to the two methods here descri- bed. But it is evident that, on motion com- mencing in the return pipe y z, in conse- quence of the greater pressure of c D than of A B, the water from A will be forced towards e, at the same time that the water in e, /, #, h flows towards c. But when a very small quantity of hot water has passed from the pipe and boiler, A B, into the pipe e /, the column of water g h will be heavier than the column 0/, and therefore there will be a tendency for motion to take place along the upper pipe towards the boiler, instead of from it. This force whatever be its amount, must be in opposition to that which occurs in the lower or return pipe, in i) 2 36 OBSTRUCTIONS TO CIRCULATION. consequence of the pressure of c D being greater than A B ; and unless, therefore, the force of motion in the descending pipe c D be sufficient to over- come this tendency to a retrograde motion, and leave a residual force sufficient to produce direct motion, no circulation of the water can take place. (25.) An extremely feeble power, as we have already seen (Art. 15), will produce circulation of the water in an apparatus where there are no un- usual obstructions ; but it is a necessary result of the motive power being so very small, that it is easily neutralized. So trifling a circumstance as a thin shaving planed off a piece of wood, and acci- dentally getting into a pipe, has been known effec- tually to prevent the circulation in an apparatus otherwise perfect in all its parts. It is not sufficient, then, when such an obstruc- tion as the vertical dip from the horizontal level, shown by the last figure, has to be surmounted, merely to make the direct force of motion suffi- cient to overcome the antagonist force, and to leave the smallest possible residual amount, for the purpose of causing circulation; because an amount which would be sufficient for this purpose, as an undivided force, would not be found sufficient as a residual force. (26.) In estimating the additional height which it is necessary to give to the ascending column, in order to overcome such an obstruction as shown in fig. 7, it will be necessary to take into account what is the length and diameter of the pipe through which the water will have to pass ; for on this depends the difference of temperature be- tween the ascending and descending columns, which we have seen materially affects the amount of the motive power of the apparatus. If the length of pipe be considerable, a somewhat smaller OBSTRUCTIONS TO CIRCULATION. 37 increase of the vertical height of the ascending pipe will suffice ; but if the length of pipe be short, a greater height must be allowed.* The temperature to which the air surrounding the pipes is to be raised will also modify the result ; for on this will depend the quantity of heat given out by the pipes per minute, which likewise affects the temperature of the descending pipe. (Art. 222.) (27.) Under such a great diversity of circum- stances, it would be difficult to form a rule for estimating what ought to be the height of the ascending pipe in such cases ; because not only are these circumstances different in each appa- ratus, but they likewise differ, in some respects, in the same apparatus in the different stages of its working. The difficulty is also increased by not being able to fix on an absolute minimum measure- ment, which is sufficient, under all circumstances, to cause a circulation of the water in the common form of the apparatus. There have been instances where apparatus have succeeded, though con- * This applies merely to the possibility of producing motion, and not to the resulting velocity of the circulation. For it must be borne in mind that, although in every case, by in- creasing the length of the pipe, or by reducing its diameter, we cause the water to assume a greater difference of tempera- ture between the ascending and the descending columns, and thereby increase the circulation, still, in both these cases, we greatly increase the friction, which therefore considerably detracts from the advantages gained by this greater differ- ence of temperature. And as the friction is a certain quan- tity, compounded of the square root of the length of the pipe directly, and the diameter of the pipe inversely, it follows that the friction may become so great, by increasing the length and reducing the diameter, as completely to neutralize all beneficial effect. Unless, therefore, the circulation is moderately active, the apparatus will be of such unequal tem- perature as to render it nearly useless. The utmost caution is necessary, in order that the friction may not become so great as to interfere with the due circulation of the water. 38 OBSTRUCTIONS TO CIRCULATION. ' structed on the very worst principles, in conse- quence of various circumstances having favoured the result. Thus in an apparatus constructed as fig. 8, where the pipes were not more than three inches apart, the water circulated with perfect freedom ; but in this case, not only was the pipe of considerable length, and without angles or turns, but the size of the pipe was only two inches diameter, so that the water cooled twice as fast as it would have done had pipes of four inches diameter been used (Art. 61). It is, however, quite certain that such a distance be- tween the pipes, at their insertion into the boiler, as that which has just been described, is in- sufficient, under ordinary circumstances, to give a steady and good circulation. But when the two pipes are about 12 inches apart, at the place of their insertion into the boiler x /, fig. 3 (or 16 inches from centre to centre when the diameter of the pipe is four inches), it will be sufficient to produce a good circulation for almost any ordi- nary length of pipe, when it is not required to dip below the horizontal level. If this be con- sidered as the minimum height, which, under ordinary circumstances, will obtain a good circu- lation when the pipes are not required to dip below the horizontal level, then an average height can be estimated for enabling any vertical decli- nation of the pipes to be made. (28.) When the pipe dips below the horizontal level, the height of the ascending pipe should generally be just so much greater than the above dimensions, as the ttepth which the circulating pipe is required to dip Mow the horizontal level ; bearing in mind the circumstances mentioned OBSTRUCTIONS TO CIRCULATION. 39 (Art. 26), which modify the general results* Thus, suppose the depth of the dip, shown by the dotted line a b, fig. 9, to be 24 inches, then the distance y z ought to be 40 inches, if the pipes be four inches diameter ; that is, 36 inches from cen- tre to centre, or 40 inches from the top of the pipe y to the bottom of the pipe z ; and with these dimensions, as good a circulation will be obtained (excepting the friction from the additional elbows) as when the distance between the top and bottom pipes is 16 inches from centre to centre, in the common form of the apparatus. It will be ob- FIG _y , . 9. '. * , /I / '. \ f =" I J* /I y A \ 'f ^ s \ fj Pi I/"- '-->*, served that, by this arrangement, the distance c cf, from the under side of the flow-pipe to the upper side of the return-pipe, is just 12 inches, which is the same height that was stated to be necessary to insure a good circulation, on the ordinary plan, without a vertical dip. The reason why this height is sufficient in the present case, notwith- * So greatly, in fact, do these circumstances affect the general result that it is very possible, in particular circum- stances, to make the water descend below the bottom of the boiler to a considerable depth without stopping the circulation. It is therefore evident that the dimensions which are here given for the height of the ascending pipe, relative to the dip, must not be taken as an absolute minimum, but simply as a general rule, which will succeed in all cases. See Art. 30 and 31. 40 OBSTRUCTIONS TO CIRCULATION. standing the increased friction of the angles, is be- cause there must always be a greater difference between the temperature of e and / than between either g and A, or between i and , or even more than between both these together; therefore the tendency to direct motion is greater than towards retrograde motion, in proportion to this difference, and is sufficient to overcome the increased friction caused by the vertical declination ; while the ad- ditional height of 12 inches beyond the height of the dip, possessed by the descending pipe /, is sufficient to produce circulation of the water. If g and A, and also i and k, were very wide apart, say 40 or 50 feet, instead of being, as usual, only about three or four feet, the balance of effect, though still in favour of direct motion, would not be so great as in the last supposed case ; because there would be a greater difference in temperature between g and h (that is, h would be heavier than g in a greater degree), which would give a greater tendency to retrograde motion. In many cases, therefore, it will be advisable to make the ascend- ing pipe higher in proportion to the dip than is here stated, particularly when there are several such alterations required in the level of the pipes ; and, in all cases, as has been before observed, the higher the ascending pipe is made, the more rapid will be the circulation, and, therefore, the more perfect the apparatus will become. (29.) The remarks which have been made with respect to the height of the ascending pipe, rela- tively to the vertical declination, or dip, below the level of the horizontal pipe, applies to all the usual forms which are given to the apparatus. But there are peculiar arrangements which may be adopted that will allow the dip of the circulating pipe to be much greater than the proportion which has here been stated. For, in some cases, the dip CIRCULATION OF WATER BELOW TFIE BOILER. 41 pipes may even pass below the bottom of the boiler to a considerable depth, without destroying the circulation; arid from the very extensive use that is now made of the hot-water apparatus for heating buildings of every description, it is very desirable to examine this part of the subject at some length, as its application will, in many cases, entirely depend upon the possibility of making the pipes descend below the boiler. (30.) In an arrangement of pipes such as fig. 10, the circulation will depend entirely upon the quan- tity of heat given off by the coil c ; for it is evident that when the boiler B and pipe a are heated, the direct motion will arise in consequence of the greater weight of the water in the coil Fl - 10 - c and pipe c?, above that which is in the boiler and pipe, B a. But as the water in the pipe e, below the dotted line, will be lighter than that in the pipe /, the tendency in that part of the apparatus will be towards a retrograde motion. The result of these two forces will be that if the water in the whole length of pipe w x is heavier than that of the whole length, y z, in a sufficient degree to over- come the increased friction, circulation of the water will take place ; and the velocity of motion will depend upon the amount of this difference in weight. (31.) Another form, though somewhat more complicated, may be given to this arrangement 42 CIRCULATION OF WATER of the apparatus. In fig. 11, B represents the boiler; and the effective or direct motion is, in this case, caused by the water in the coil and pipe c d being so much FIG. 11. heavier than that in the boiler and pipe, B a, that it overcomes the re- trograde motion which is produced by all the other parts of the appa- ratus. Thus the water in g h, be- ing heavier than that in i , and that in ef (below the dotted line) being lighter than that in I m, has in both cases a tendency to retrogression; and this will be more considerable in proportion as the pipes i k, and g h, &c., are more distant from each other. The motive power, therefore, entirely depends upon the quantity of heat given off by the coil ; for the water must be cooled down many degrees, in order to give it a sufficient pre- ponderance over the water in B a, to cause a cir- culation ; and the circulation must necessarily be very slow, and, therefore, the temperature very unequally diffused. If the coil, in the last two figures, be placed in any lower position than is here shown, the effect will be proportionately less in producing circula- tion; and if placed below the dotted lines, it would be scarcely possible to obtain any circulation at all. Nor would there be any circulation if the coil were omitted, because the mere descent of the water through a straight pipe would not cool it sufficiently to give the necessary preponderance BELOW THE BOILER. 43 to the descending column, unless some other con- trivance for the purpose of cooling the water to an equal extent were adopted. (32.) The principle which governs the circula- tion in these last-mentioned cases is capable of many applications. And it must be remembered that, as a coil of pipes produces an enormous degree of friction in the fluid passing through it, which must be overcome before circulation can be produced, a smaller difference of temperature between the ascending and descending columns FIG. 12. ID would produce circulation, if the apparatus were contrived so as to cause less friction to the fluid passing through it. In an apparatus constructed as fig. 12 the water rises directly from the boiler into an open cistern, A ; and it then descends through the pipe B, which communicates with the bottom or the side Of this cistern. In cases of this kind it has been gene- rally assumed that the water will descend as far below the boiler as the rising pipe and the cistern are above the boiler; and, practically, it is often found that this is the case, though the explanation 44 CIRCULATION OF WATER BELOW THE BOILER. of the fact must be sought for among a different class of phenomena than those which merely regard the height of the ascending pipe. (33.) The advantage of conveying the water into an elevated cistern, as shown in the last figure, appears to be twofold.* It allows the freest escape of air and of steam, either of which would prevent the circulation, if it lodged in the part of the apparatus a, y, i, in fig. 11 ; and which part is in fig. 12 occupied by the open cistern. This cistern also facilitates the circulation, by increasing both the actual as well as the relative weight of the descending column of water ; because no part of the descending pipe B can possibly con- tain steam, as the water will remain in the cistern A until it has become colder than that in the pipe E, and boiler F ; and it is evident that, by such an arrangement as fig. 12, this difference of tempe- rature must constantly increase, after heat is applied to the boiler, until it becomes sufficient to give a preponderance to the water in B. And even if the heat were sufficient to raise steam in the pipe E, this would only still further increase the effect, in- stead of diminishing or even wholly stopping the circulation, as would be the case with an apparatus like fig. 11, under similar- circumstances. (34.) Many other arrangements of the apparatus answering the same purpose as these last three figures, might be contrived ; but while these forms are advantageous when difficulties of adaptation have to be surmounted, it must not be imagined that they are recommended above the more simple forms shown in figs. 3, 7, and 9. It requires great judgment in adopting some of these complicated * The Marquis de Chabannes was the first to employ an elevated cistern in this way. His apparatus is described in his pamphlet, published in 1818, on " Warming and Venti- lating Buildings." REVERSED CIRCULATION OF WATER. 45 arrangements ; for many causes may interfere to prevent complete success. It is sometimes very difficult to detect the various causes of interfer- ence, and the impediments which arise are often, apparently, so insignificant in their extent, that even when ascertained they are frequently neg- lected. Those, however, who bear in mind how small is the amount of motive power in any apparatus of this description, will not consider as unimportant, any impediment, however small, which they may detect; but, in the more com- plicated forms of the apparatus, so many causes become operative, that the reason of failure may sometimes elude the detection of even an expe- rienced practitioner. (35.) It has occasionally occurred that the cir- culation of the water in an apparatus has been reversed, the hot water passing along what should be the return-pipe, and the colder water following the course of the flow-pipe. This effect has some- times been exceedingly puzzling; but it will be found to arise in those apparatus which have but small motive power, and in which the principle has not been followed out of making the water rise to the highest point of the apparatus as soon as possible, and allowing it, in its return to the boiler, to give out its heat to the various pipes, coils, or other distributing surfaces which it is intended to heat. If the opposite course to this be adopted, the friction in the flow-pipes often becomes so con- siderable that the direct and natural action of the ascending column is altered, and the hot water, meeting less resistance by passing through what ought to be the return-pipe, converts it at once into a flow-pipe, and entirely reverses the ordinary action of the apparatus. This is particularly liable to occur in boilers which have but little depth ; and it sometimes happens that the appa- 46 LEN'GTH OF CIRCULATION'. ratus, when constructed in this way, will operate most capriciously, the circulation sometimes being direct and sometimes retrograde, and sometimes stopping altogether. Whenever, therefore, the pipes rise to any considerable height above the boiler, it is very desirable that the most direct route should be provided for the water to flow first to the highest elevation, after which in its return to the boiler, it may be made to pass through the various pipes, coils, and other heat- distributing surfaces, which will thus secure its most efficient action and the most perfect cir- culation. (36.) The distance through which the water will circulate in a hot-water apparatus is very con- siderable ; its limit has not yet been ascertained, and probably never will be, as it must depend upon many circumstances totally differing in almost every apparatus. The higher the water rises above the boiler, the greater is the length through which it may afterwards be made to circulate ; and many apparatus are successfully working where the water circulates through several hundred feet of pipe, in a continuous course, before it again returns back to the boiler to be reheated. In general, however, it is very desirable to shorten this circulation as much as possible, and an appa- ratus will always be more efficient if it can be so arranged, by altering the position of the boiler, or the disposition of the pipes, that the water shall run through two or more distinct and short cir- culations, rather than through one long one. Nor is this at all at variance with what has been pre- viously stated about the velocity of circulation being increased by lengthening the circulating pipe (Art. 19). For while impediments to the circulation may be overcome by a considerable difference of temperature in the flow and return- AIR VENTS. 47 pipes, the apparatus will always be more efficient when the temperature of the various parts of the apparatus does not very widely differ. (37.) When an apparatus is so constructed that the boiler is considerably below the pipes or other surfaces giving out heat, the circulation is sure to be very rapid, and the greatest effect will always be obtained by making the circulation as short as possible, so as to have as little differ- ence as may be in the temperature of the flow and the return-pipe. But when, on the other hand, the pipes and boiler are nearly on a level, it is frequently necessary that a greater difference shall exist between the temperature of the flow and return-pipes, in order to produce a good circu- lation, and to overcome any obstructions arising from dips in the pipes or any other disturbing cause. (38.) The necessity for making provision for the escape of the air from the pipes has already been mentioned. It may be observed that, in such forms of the apparatus as are described in the last four figures, the difficulty of its expulsion is much increased, as there are several points where it will collect and stop the circulation, unless proper means be taken to prevent this result. In the apparatus, fig. 9, the air will collect at three points, /, m, and n ; and the nature of the outlets provided for its escape will depend, in some measure, upon the plan adopted for supplying the apparatus with water. In some cases open-air pipes will be the best : in other cases air-cocks will be necessary to prevent an over-flow of water through an open-air pipe. It frequently requires the greatest care and the closest attention to dis- cover where the air is likely to lodge, as the most trifling alteration in the position of the pipes will entirely alter the arrangements with respect to .{x SUPPLY CISTERN?. the air-vents. Want of attention to this has been the cause of innumerable failures; and the dis- covery of the places where the air will accumulate is, occasionally, a matter of some difficulty. For although it be true, in a general seuse, that the air will rise to the highest part of the apparatus, it will frequently be prevented getting to those parts by alteration in the level of the pipes, and by other causes. This is the case at m, fig. 9, w'here, it will be seen, the air that accumulates in that part of the apparatus is prevented from escaping to a higher level, by the vertical angle at / on the one side, and t on the other. In the apparatus, fig. 11, the air will accumulate at y and at tr, and must be carried off by proper outlets ; and in every case provision must be made for the air to pass, either by a level pipe or by ascend- ing gradients, for in no case can it be made to pass downwards (however small the extent) in its passage to the vent provided for its escape. (39.) When a boiler is open at the top, or merely has a loose cover laid on it, no particular care is necessary respecting the supply of water. It can generally be poured in at the boiler, taking care not to fill it quite full, so as to allow for the ex- pansion of the water when heated, as otherwise it will overflow. But when, as figures 7, 9, 10, 11, and 12, the boiler is close at the top, it is necessary to place a supply cistern on a level with, or above the highest part of the apparatus, so as to keep it always full of water. But as water ex- pands about ~ part of its bulk, when it is heated from 40 (the point of its greatest condensation) to 212, it is indispensably necessary to provide for a part of the water returning back to the supply cistern when this expansion takes place. The cistern, however, need not contain so much water as i part of the whole contents of the apparatus; EXPANSION OF PIPES. 49 for it is found in practice, that a less quantity than this returns back into the cistern on the apparatus being heated. This arises from the fact of the water not reaching to so high a tem- perature as 212, and also in consequence of its being generally at a higher temperature than 40 before it is heated, and by both these causes the expansion is considerably lessened. For if the water be raised from 50 to 180, the expansion will only be about ^ part of its bulk ; and the expansion of the iron itself, by giving an increased capacity to the apparatus, will also tend still further to di- minish the quantity of water returned back into the cistern. A very good proportion for general purposes is to make the supply cistern contain about ^ of the whole quantity of water in the pipes and boiler; though, for the reasons above stated, a smaller size will answer in many cases, where economy or convenience requires it to be reduced. A table is given at the end of this volume, show- ing the contents of pipes of all sizes, and which will enable any one easily to ascertain the correct size of these expansion and supply cisterns for any apparatus. (40.) The usual plan for a supply cistern is shown at A, in fig. 13. The cistern is placed in some convenient situation, and then attached, by a small pipe, to any part of the appara- tus usually, to the lower pipe, and it is then less likely to allow of the escape of vapour than if it were fastened to the top of the boiler. But a still better plan is to bend the pipe, attached to the cistern, into the form shown by x y, which is a preventive to the escape of any heat or 50 EXPANSION OF PIPES. vapour at that part, as the legs of the siphon x generally remain quite cold. (41.) One very important part of the subject of expansion is the necessity which exists for allow- ing sufficient room for the elongation of the pipes when they become hot. Want of attention to this has caused several accidents; for the expansive power of iron, when heated, is so great, that scarcely anything can withstand it. The linear expansion of cast iron, by raising its temperature from 32 to 212, is -0011111, or about ^ part of its length, which is nearly equal to 1| inches in 100 feet. Therefore it is necessary to leave the pipes unconfined, so that they shall have free motion lengthways, to this extent at least. In- stead of confining them, as sometimes has been done, facilities should be provided for their free expansion, by laying small rollers under them at various points; for as the contraction on cooling is always equal to the expansion on heating, un- less they can readily return to their original position when they become cool, the joints are very likely to get loose, and to become leaky. These rollers may be made simply of a piece of rod iron, about half inch or five-eighths of an inch diameter, which may be fixed in a frame to support the pipes, or they may lie loose on a stone or brick pier, the pipes being supported by this means at about every alternate joint. In very short ranges of pipes this provision is not neces- sary, as the longitudinal expansion is not sufficient to become a matter of importance. 51 CHAPTER III. On the Resistance by Friction Relative size of Main-Pipes and Branch-Pipes Vertical and Horizontal Main-Pipes Small connecting Pipes Branch-Pipes at difference Levels Stop- cocks and Valves Their Use and proper Size Their place supplied by Cisterns Inconvenience of them Remedies. (42.) WHEN treating, in the preceding chapter, on the velocity of the circulation of water, it was observed that the theoretical velocity is always considerably reduced by friction. Although the calculation of the friction of water, in passing through pipes, is intricate,* the relative friction for different sizes of pipes is easily ascertained ; and this appears to be nearly all that is neces- sary to be acquainted with for the purpose of the present inquiry. The friction occasioned by water passing through small pipes is very much greater than in those which are larger. This arises from two causes the increased surface with which a given quantity of water comes into contact by passing through a small pipe, and the greater velocity with which the water circulates, in consequence of losing more heat per minute.f (43.) The relative friction for different sizes of pipes, when the velocity with which the water * See Art. 22. t See Chap. IV., Art. 61. This latter remark of course only applies to water circulating in a hot-water apparatus: the former applies to all cases of hydraulics. E 2 52 FRICTION OF PIPES. passes is the same in all, may be seen in the fol- lowing table : Diameter of Pipes , 1, 2, 3, 4 inches. Friction . . 8, 4, 2, 1-3, 1. Taking the friction, in pipes of four inches diameter, as unity, that of a pipe two inches diameter is twice as much, and a one-inch pipe four times as much as the pipe of four inches ; the friction being as the surface directly, and the whole quantity of water inversely* (44.) The friction which arises from increased velocity is nearly as the square of the velocity ; but this calculation it is unnecessary to enter into here, because the velocity of circulation of the water, in a hot-water apparatus, is constantly sub- ject to fluctuation. For as the friction increases with the velocity of circulation, so the velocity is checked by the increased friction ; and it finally assumes a mean rate, proportioned to the friction on the one hand, and the theoretical velocity on the other, calculated according to the rule (Art. 21) in the preceding chapter. (45.) Closely connected with the subject of friction is the question of the proper size for leading or main pipes. It has been supposed by many persons that, where two or more circulating pipes are attached to one main-pipe, the area or section of the main-pipe ought to be equal to the sum of the areas of all the branch-pipes. This has led to most inconvenient arrangements having been resorted to in particular cases. In some instances, pipes as large as nine inches diameter have been used for the main-pipes, where those of four inches would have answered the purpose infinitely better ; and other proportions equally erroneous have frequently been adopted. * Dr. Young's Hydraulics, Nicholson's Journal, vol. iii, p. 31. RELATIVE SIZE OF PIPES. 53 (46.) It has been already explained (Art. 23), that the motion of water is more rapid in an up- right than in a horizontal pipe. If four branch- pipes be supplied by one upright main-pipe, this latter needs be very little, if any, larger than the circulating pipes; but if only two, or even three, branches are to be supplied by one main-pipe, it will be quite unnecessary in ordinary cases that the upright main-pipe should be any larger than the branches, unless the length of the horizontal pipe be unusually great. If the branches exceed this number, it may be desirable to increase the diameter of the upright main-pipe, in a moderate degree; but the motion of the water through it, however, will be just so much the more rapid in proportion as there are more branches for it to discharge the water into. It is evident that, if the outlet from the boiler be by a pipe four inches diameter, the flow of water will be more impeded, than if a pipe of six inches diameter were used ; and the water will therefore become specifically lighter in the boiler than in the descending pipe, in a greater degree in the former case than in the latter; and this will consequently cause a more rapid circulation through the apparatus. But, though the friction of the water will be greater in the ascending pipe by this arrangement, yet it will not be of importance, except when very small pipes are used. For the friction is extremely small in a vertical pipe to an ascending current of water. As a general rule, it may be observed, that all horizontal leading pipes require to be much larger in proportion to the branches than is requisite with vertical leading pipes, in conse- quence of the friction being so exceedingly small in the latter , and leave them r quite cold and without any circulation. To prevent this a small strip of thin sheet copper, extending rather less than half way across the main pipe as shown b c d, may be fixed on to the upper side of the branch pipe when the main pipe is vertical; or to the opposite side to the direction of the current, when all the pipes lie horizontal. This slight check to the direction of the current is sufficient to cause a circulation in the lateral or branch pipes under almost any possible circumstances, and when done with judgment it causes no sensible diminution of the circulation through the main pipe. STOP-COCKS. 59 (50.) It is perfectly immaterial how many pipes lead out of or into the boiler ; but it will generally much simplify the apparatus if branch-pipes be used, as in fig. 14, instead of making several separate outlet pipes, and various inlet pipes to the boiler. Very frequently it happens that several branch- pipes are required from the boiler, to circulate nearly at the same level, particularly in horti- cultural buildings, where two or three hothouses are 'required to be warmed by one boiler. This seldom presents much difficulty, unless it be re- quired occasionally to stop off certain of these houses, while the others are heated. In these cases, a complicated and expensive arrangefnent of cocks or valves become necessary. But here the rule, which has already been given (Art. 46 and 48), for connecting pipes may likewise be followed, where stop-cocks are required occasionally to shut off the communication between different parts of an apparatus, so as only to warm one particular room or part of a building. The cocks used for this purpose need not always be so large as the bore of the pipes. Some judgment, however, must be exercised in all such cases; for, both with connecting pipes and cocks, if the size be very disproportionate, the free circulation of the water will of course be impeded. In many cases a cock of two inches diameter will be sufficiently large to use with pipes of four inches diameter ; and a cock of one and a half inch diameter, with pipes of three inches diameter: but, for very small pipes, the relative proportions should perhaps be more nearly equal to the size of the pipes, on account of the increased friction. It should also be ob- served, that when an apparatus has but an in- different circulation, this alteration in the bore of the water-way will be very objectionable, and 60 STOP-COCKS AND VALVES. likely still further to impede it, though the exact result will depend upon a variety of causes, for which it is not easy to lay down a general rule, In such an arrangement of pipes as fig. 14, it is frequently desirable to use small-sized cocks or valves, for the purpose of checking the flow of water in particular directions; while in an ap- paratus like fig. 9 the same proportionate sizes of cocks might be very injudicious, and greatly im- pede the circulation. (51.) When cocks or valves are used to stop off the circulation of a particular part of the appara- tus, it is not sufficient merely to stop the upper or flow-pipe; but the corresponding pipe which re- turns the water to the boiler must also be stopped, otherwise the hot water will circulate backwards through the return-pipe, and pass into the flow- pipe, and thus the whole will become heated. This more particularly applies to those cases where the boiler is placed at any considerable depth below the circulating pipes; for then, as already stated, the circulating power will be much increased. But it may be laid down as a general rule, that where the circulation is tolerably good, it is not enough to place a cock or valve on the flow-pipe alone ; but the return-pipe requires to be stopped also. Cases undoubtedly sometimes occur in which a valve or cock placed in the flow-pipe will effectually shut off the circulation, without also putting one in the return-pipe. But it will generally be found that in these instances the boiler is either too small for its work, or that it is not worked at its full power, or that there is something peculiar in the arrangement, which ren- ders the portion of the circulation thus stopped off naturally more sluggish and inert than the rest of the apparatus ; and therefore a very small obstruction will be sufficient to stop entirely the STOP-COCKS AND VALVES. 61 circulation through it. But in almost all the apparatus which have a good circulation and a boiler sufficiently powerful, it will be found neces- sary to stop the return-pipe as well as the flow- pipe, in order effectually to shut off the circula- tion. (52.) In order to avoid the expense of cocks or valves in these cases, an open cistern, as in fig. 15, has sometimes been used. From this cis- tern all the several flow- pipes are made to branch out ; and then, by placing a wood plug into any one or more ^b of these pipes, the circulation will be stopped in those particular pipes until the water throughout the whole ap- paratus becomes heated, when it will generally flow back through the return-pipe, as above men- tioned. This inconvenience, however, may be prevented by such a contrivance as shown in the return-pipe of fig. 15, which is simply an inverted siphon of a few inches in depth. This will not prevent the circulation when the flow-pipe remains open ; but if that be closed by a plug in the cis- tern, then the hot water will not return back through the lower pipe. This inverted siphon, however will, in process of time, be liable to be choked up with dirt, which will accumulate in the lower part of the bend ; and for the purpose of re- moving this it will be necessary to make a cap or covering to the lower part of it, which can be removed at pleasure, for the purpose of clearing G2 STOP-COCKS AND VALVES. away any sediment that may accumulate. These cisterns, however, when thus used, are at best but a clumsy way of supplying the place of cocks or valves. The latter are sometimes made to stop off both the flow and return-pipe at one operation ; but, in whatever way they are arranged, they are generally one of the most troublesome parts of the apparatus, as cocks and valves of all kinds are liable to get out of repair unless they are in the hands of those who perfectly understand them, and will keep them in proper order. (53.) Though some of the statements respect- ing the relative sizes of connecting pipes, main- pipes, and cocks, may appear to be at variance with the laws of hydraulics, they will neverthe- less be found correct; because several of the effects are to be referred either entirely to hydro- static laws, or to a complicated result of hydro- dynamics, and therefore they are not to be judged of by simple hydraulic principles. They rest not on mere hypothesis, but may be relied on as practi- cal results obtained under almost every variety of circumstances, and too fully tested to admit of any doubt of their accuracy. 63 CHAPTER IY. Permanence of Temperature Eates of Cooling for different sized Bodies Proper sizes for Pipes Eelativc Size of Pipes and Boiler Various Forms of Boilers, and their Peculiarities Boilers heated by Gas Objections against contracted Water-way in Boilers Proper Size of Boilers for any given lengths of Pipe What constitutes a good and efficient Boiler Durability of different Materials for Boilers Effect of Impure Fuel. (54.) ONE of the greatest advantages which the plan of heating by the circulation of hot water possesses over all other inventions for dis- tributing artificial heat is, that a greater per- manence of temperature can be obtained by it than by any other method. The difference be- tween an apparatus heated by hot water and one where steam is made the medium of communi- cating heat, is not less remarkable in this parti- cular than in its superior economy of fuel. (55.) It seldom happens that the pipes of a hot-water apparatus can be raised to so high a temperature as 212; and, in fact, it is not desir- able to do so, because steam would then be formed, and would escape from the air-vent or safety pipe, without affording any useful heat. Steam-pipes, on the contrary, must always be at 212 at the least, because, at a lower temperature, the steam will condense. A given length of steam pipe will therefore afford more heat than the same quantity of hot-water pipe: but if we 64 HEAT IN WATER AND STEAM. consider the relative permanence of temperature of the two methods, we shall find a very remark- able difference in favour of pipes heated with hot water. (56.) The weight of steam at the temperature of 212, compared with the weight of water at 212, is about as 1 to 1694; so that a pipe which is filled with water at 212 contains 1694 times as much matter as one of equal size filled with steam. If the source of heat be cut off from the steam- pipes, the temperature will soon fall below 212, and the steam immediately in contact with the pipes will condense : but in condensing the steam parts with its latent heat ; and this heat, in passing from the latent to the sensible state, will again raise the temperature of the pipes. But as soon as they are a second time cooled down below 212, a further portion of steam will condense, and a further quantity of latent heat will pass into a state of heat of temperature ; * and so on, until the whole quantity of latent heat has been abstracted, and the whole of the steam condensed, in which state it will possess just as much heating power as a similar bulk of water at the like temperature ; that is, the same as a quantity of water occupying ~- 4 part of the space which the steam originally did. (57.) The specific heat of uncondensed steam compared with water is, for equal weights, as 8470 to 1 : but the latent heat f of steam being estimated at 1000, we shall find the relative heat * The heat of temperature is that which is appreciable by the thermometer ; and the term is used in contradistinction to latent heat, which is not capable of being measured in a direct manner by any instrument whatever. f The results of different experiments on the subject of the latent heat of steam, although somewhat various, are yet suffi- ciently near for all practical purposes. Watt's experiments gave 900 to 950 ; Lavoisier and Laplace, 1000 ; Mr. Southern, 945; Dr. Ure, 967 to 1000; and Count Kumford, 1000. HEAT IN WATER AND STEAM. 65 obtainable from equal weights of condensed steam and of water by reducing both from the tempera- ture of 212 to 60, to be as 7-425 to 1 ; but for equal bulks it will be as 1 to 228 ; that is, bulk for bulk, water will give out 228 times as much heat as steam, on reducing both from the temperature of 212 to 60. A given bulk of steam will there- fore lose as much of its heat in one minute as the same bulk of water will lose in three hours and three quarters. (58.) When the water and the steam are both contained in iron pipes, the rate of cooling will, however, be very different from this ratio; in consequence of the much larger quantity of heat which is contained in the metal itself than in the steam with which the pipe is filled. The specific heat of cast iron being nearly the same as water (see Table V., Appendix), if we take two similar pipes, four inches in diameter, and one quarter of an inch thick, one filled with water, and the other with steam, each at the temperature of 212, the one which is filled with water will contain 4 -68 times as much heat as that which is filled with steam : therefore if the steam-pipe cools down to the temperature of 60 in one hour, the pipe containing water would require four hours and a half, under the same circumstances, before it reached the like tempera- ture. But this is merely reckoning the effect of the pipe and of the fluid contained in it. In a steam apparatus this is all that is effective in giving out heat; but in a hot-water apparatus there is likewise the heat from the water con- tained in the boiler, and even the heat from the brickwork around the boiler, which all tends to increase the effect of the pipes, in consequence of the circulation of the water continuing long after the fire is extinguished ; in fact, so long as the F 66 PERMANENCE OF TEMPERATURE. water is of a higher temperature than the sur- rounding air of the room. From these causes, the difference in the rate of cooling of the two kinds of apparatus will be nearly double what is here stated; so that a building warmed by hot water will maintain its temperature, after the fire is extinguished, about six or eight times as long as it would do if it were heated with steam. This is an important consideration, wherever permanence of temperature is desirable ; as, for instance, in hothouses, conservatories, and other buildings of a similar description. And even in the application of this invention to the warming of dwelling-houses, manufactories, &c., this property, which water possesses, of retaining its temperature for so long a time, and the very great amount of its specific heat, prevents the necessity for that constant attention to the fire which has always been found so serious an objection to the general use of steam apparatus. (59.) The velocity with which a pipe or any other vessel cools, when filled with a heated fluid, depends principally upon two circumstances the quantity of fluid that it contains, relatively to its surface and the temperature of the air by which it is surrounded; or, in other words, the excess of temperature of the heated body above that of the surrounding medium. The subject of the radiation of heat, and the rate at which a heated body cools, under various circumstances, will be fully considered in another chapter (see Chapter XII.). But for temperatures below the boiling point of water, and under such circumstances as we are now considering with regard to hot-water pipes, the velocity of cooling may be estimated simply in the ratio of the excess of heat, which the heated body possesses above the temperature of the surrounding air. The variation in the rate of cooling, arising from a PERHAXENCE OF TEMPERATURE. 67 difference in proportion of the superficies to the mass, is, for bodies of all shapes, inversely, as the mass divided by the superficies. Therefore, the relative ratio of cooling, for any two bodies of different shapes and temperatures, is the inverse numbers obtained by dividing the mass by the superficies, multiplied by the direct excess of heat above the surrounding air; provided the tempera- ture of the heated bodies be below 212. Thus, suppose the relative ratio of cooling be required, for two cisterns filled with hot water, one a cube of 18 inches, at the temperature of 200 ; the other a parallelopiped, 24 inches long, 15 inches wide, and 3 inches deep, at the temperature of 170 ; the surrounding air in both cases being 60. Then, as, INCHES. INCHES. The cube contains 5832, divided by 1944, the superficies = 3'0 The parallelepiped contains. 1080, do. 954, do. =1-13 The inverse of these numbers is, to call the cube 1*13, and the parallelopiped 3*0. Then multiply 1'13 by 140 (the direct excess of temperature of the cube), and the answer is 158-2: and multiply 3-0 by 110 (the direct excess of temperature of the parallelopiped), and the answer is 330'0; therefore the parallelopiped will cool, in com- parison with the cube, in the proportion of 330 to 158, or as 2'08 to 1. So that if it required two hours to cool the cube any proportional part of its excess of heat, the other vessel will lose the same proportional part of its excess of heat in one hour. (60.) It is evident that these different velocities of cooling are quite independent of the total effect that the respective bodies will produce in warming a given space. For as the cube contains six times as much water as the other vessel, so it would warm six times as much air, if both vessels were of the same temperature. But if six of the oblong vessels F 2 68 RATE OF COOLING. were used, they would heat just the same quantity of air as the cube; but the latter would require rather more than two hours and a half to do what the oblong vessels would accomplish in one hour, supposing the temperature to be the same in both cases. In the previous example, the temperatures are supposed to be different ; otherwise the rela- tive ratio of cooling of the two vessels would have been as two and a half to one, instead of two to one, as stated. (61.) In estimating the cooling of round pipes, the relative ratio is very easily found, because the inverse number of the mass divided by the superficies, which gives the relative cooling for all bodies, is exactly equal to the inverse of the diameters. Therefore, supposing the temperature to be alike in all, If the diameter of the pipes be 1, 2, 3, 4 inches. The ratio of cooling will be 4, 2, 1 3, 1. That is, a pipe of one inch diameter will cool four times as fast as a pipe of four inches diameter; and so on with the other sizes. These ratios, multiplied by the excess of heat which the pipes possess above that of the air, will give the relative rate of cooling when their temperatures are dif- ferent, supposing they are under 212 of Fahren- heit. But if the temperatures are alike in all, the simple ratios given above will show their relative rate of cooling, without multiplying by the tem- peratures. When the pipes are much above 212, as, for instance, with the high-pressure system of heating, the ratio of cooling must be calculated by the rules given in Chapter XII. (62.) The unequal rate of cooling of pipes of various sizes, renders it necessary to consider the purpose to which any building is to be applied that is required to be heated on this plan. If it SIZE OF PIPES. 69 be desired that the heat shall be retained for a great many hours after the fire is extinguished, then large pipes will be indispensable ; but if the retention of heat be unimportant, then small pipes may be advantageously used. It may be taken as an invariable rule, that in no case should pipes of greater diameter than four inches be used in any ordinary building, because, when they are of a larger size than this, the quantity of water they contain is so considerable, that it makes a great difference in the cost of fuel, in consequence of the increased length of time required to heat them. (See Art. 108.) For hothouses, greenhouses, conservatories, and such like buildings, pipes of four inches diameter will generally be found the best; though, occasionally, pipes of three inches diameter may be used for such purposes, but rarely any of ;a smaller size. In churches and manufac- tories, &c., pipes of either four or three inches diameter will generally be found most convenient, in consequence of the difficulty which almost always occurs of placing a sufficient quantity of pipes of smaller diameter in these buildings. But in dwelling-houses pipes of two inches diameter will generally be preferable, for they will retain theirC heat sufficiently long for ordinary purposes, and their temperature can be sooner raised than larger pipes, and, on this account, a somewhat less number of superficial feet will suffice to warm a given space. (63.) In adapting the boiler to a hot-water apparatus, it is not necessary, as is the case with a steam boiler, to have its capacity accurately pro- portional to that of the total quantity of pipe which is attached to it :* on the contrary, it is sometimes desirable even to invert this order, and to attach a boiler of small capacity to pipes of large size. It * See Chapter 'X. on heating by steam. 70 SHAPE OF BOILERS. is not, however, meant, in recommending a boiler of small capacity, to propose also that it shall be of small superficies ; for it is indispensable that it should present a surface to the fire proportional to the quantity of pipe it is required to heat ; and in every case, the larger the surface on which the fire acts, the greater will be the economy in fuel, and the greater also will be the effect of the apparatus. (64.) The sketches of the boilers, figs. 16 to 30, are several different forms which present various extents of surface in proportion to their capacity. All except the first two, however, have but a small capacity, relatively to their superficies, com- pared with boilers which are used for steam. There is no advantage whatever gained by using a boiler which contains a large quantity of water. For, as the lower pipe brings in a fresh supply of water, as rapidly as the top pipe carries the hot water off, the boiler is always kept absolutely full. The only plausible reason which can be assigned for using a boiler of large capacity is, that as the apparatus then contains more water, it will retain its heat a proportionably longer time. This, though true in fact, is not a sufficient reason for using such boilers : for the same end can be accomplished, either by using larger pipes, or by having a tank connected with the apparatus, which can be so contrived, by being enclosed in brick or wood, or some other non-conductor, as to give off very little of its heat by radiation, and yet be a reservoir of heat for the pipes after the fire has been extinguished. If this tank communicate with the rest of the apparatus by a stop-cock, the pipes can be made to produce their maximum effect in a much shorter time than if this addi- tional quantity of water had been contained in the boiler; and a more economical and efficient appa- SHAPE OF BOILERS. 71 FIG. 16. FIG. 17. FIG. 18. FIG. 19. FIG. 20. FIG. 21. FIG. 22. FIG. 24. FIG. 25. FIG. 30A. 72 CONSTRUCTION" OF BOILERS. ratus will be obtained. The circulation will likewise be more rapid from a boiler which con- tains but a small quantity of water, because the fire will have greater effect upon it, and will render the water which is contained in it relatively lighter than that which is in the descending or return-pipe. (65.) The boilers, figs. 16 and 17, are but seldom used for hot-water apparatus. Fig. 18 is an excellent form of boiler ; it is, in fact, the very best boiler for general use that has ever been made, and has been far more extensively used than any other. It is generally made of wrought- iron. Fig. 19 is something similar, though deci- dedly inferior, on account of the inconvenience of a flat top ; which not only prevents the easy flow of the hot-water to the ascending pipe (which ought always to be placed on the top), but also the flues do not act so efficiently on the flat top of this boiler. Fig. 20 is a good boiler, but is best for either very small or very large apparatus (and not for intermediate sizes), depending on the mode of setting ; which subject will be described in the following chapter. Fig. 21 is only suitable for a very small apparatus. Figs. 22 and 23 (the former of which is a section and the latter an elevation) represent a cast-iron circular boiler of very efficient construction, and suitable for either large or small apparatus. Fig. 24 is a section of the boiler known as Roger's conical boiler ; which is a circular boiler, externally resembling the fig. 25. This boiler has undergone much alteration of form since its first invention. It was first open at the top, and the fuel supplied there ; this, however, is now supplied at A, and B is the smoke flue. Fig. 25 is a boiler nearly similar to the last, but contrived so as to be used without any brickwork. The radiation of heat from the surface of this boiler is CONSTRUCTION OP BOILERS, 73 of course considerable, and is generally entirely wasted ; though when the boiler is placed inside the room or building to be warmed, this loss may be avoided. Fig. 26 is a boiler consisting of a double row of pipes (of which the external row alone is shown), connected at each end by an arch, by which the water is supplied to the pipes forming the body of the boiler. This boiler heats rapidly, but is necessarily very wasteful of fuel, as no flues can be formed in setting it. Fig. 27 is also a boiler to be used without brickwork, and for many purposes is very useful, particularly where the heat from the external surface of the boiler can be beneficially employed. Fig. 28 is another boiler very similar to the last, but can be adapted to a much smaller size, as the fire is contained in a fire- clay receptacle, by which means a smaller fire may be made to keep alight for many hours without attention ; and by this contrivance a very much smaller boiler may be made to act efficiently than it otherwise could do. Both these boilers answer extremely well. The boilers, figs. 29 and 30, are more remarkable for their ingenuity than for their practical utility, and it is probable that the compli- cation of their construction renders them peculiarly liable to accidents. The boiler, fig. 3(U, is a useful boiler in some cases when used of small size, but it becomes wasteful when made of large dimen- sions. (66.) Boilers heated by gas are occasionally used, and they often possess advantages when coal or coke cannot be conveniently employed. The cost of burning gas in this way is however consider- able. In the earlier editions of this work the cost of burning gas was estimated at six times the cost of coal, when the products of combustion were not allowed to escape into the open air ; and at twelve times the cost of coal when the products of coin- 74 CONSTRUCTION OF BOILERS. bustion passed away directly into the open air. These estimates were perfectly correct when they were given ; but since that time improved methods of burning gas have been invented, by mixing the gas with about twelve times its volume of atmo- spheric air, previous to the gas reaching the place of its actual combustion. This invention is popu- larly known by the term "atmospheric gas." By means of this invention and also by considerable reductions in the price of gas relatively to the price of coal, the cost of burning gas in this manner may now be estimated at about three times the cost of coal. In experiments made with this method of burning Carburetted Hydrogen Gas, it has been found that 720 cubic feet of gas gave the same amount of heat that could be obtained by 75 Ibs. of good average coal, and this at the price of three shillings and sixpence per thousand cubic feet for the gas, and twenty-four shillings per ton for the coal, would be nearly in the proportion of about three to one. When gas is to be burned in this way, the boiler ought to be made of copper ; and perhaps the best form of boiler for the purpose is like the upper part of that shown in fig. 25, which would then represent a shallow dome-topped boiler, well suited to receive the burners now generally used for the "atmospheric gas." Or another form of boiler for this purpose consists of a copper drum with several vertical copper tubes, approach- ing nearly to a locomotive boiler standing vertically instead of horizontally.* (67.) There are many other forms of boilers which have been proposed for the hot-water appa- ratus, and, in fact, the multiplication of them appears almost without limit. It is, perhaps, scarcely any exaggeration to say they amount to * See also Art. 306 for remarks on improved method of burning Carburetted Hydrogen Gas. CONSTRUCTION OP BOILERS. 75 hundreds. When strictly considered, however, there is scarcely one that presents any real novelty, and generally they are mere colourable adaptations of some one of those which have been described; and the wonderful effects which some- times are attributed to them arise either from the parties being deceived in the results, or from their being unacquainted with what has previously been accomplished by others. The principles on which a boiler must be constructed in order to become efficient, are as fixed and immutable as the laws of nature ; and the modes by which these principles are to be applied are all determinable by experience, and can be correctly judged of by certain rules, beyond the possibility of error. The mode of doing this may, perhaps, in some degree tend to prevent the erroneous notions which fre- quently prevail upon this subject. (68.) The adoption of boilers of small capacity having been recommended (Art. 64), it is neces- sary to accompany the recommendation with a caution against running into extremes ; for this error has been the cause of failure, and of the inefficiency of the apparatus in many instances. The boiler, fig. 21, is an instance of this sort, in which an absurd extreme has occasionally been adopted. The contents of a boiler of this shape sometimes do not exceed a couple of gallons, even when applied to a very large furnace; and though this boiler presents a large surface to the fire, the space allowed for the water is so small that the neutral salts and alkaline earths, de- posited by the water which evaporates from the apparatus,* contract the water-way, already far too small, and effectually impede the circulation, and also prevent the full force of the fire from acting on the water. In a very small apparatus, however, this form of boiler has occasionally 76 REPULSION OF WATER. been used with advantage, the fire being less intense. (69.). But perhaps the more immediate cause of failure of this shaped boiler arises from a different and very singular circumstance. The quantity of water which it contains being so small, and the heat of the fire, therefore, when the furnace is large, being very intense upon it, a repulsion is caused between the iron and the water, and the latter does not receive the full quantity of heat. This extraordinary effect is not hypothetical ; it has been proved to exist by the most satisfactory experiments; particularly some which were made by the Members of the Franklin Institution of Pennsylvania. The repulsion between heated metals and water they ascertained to exist, to a certain extent, even at very moderate degrees of heat; being appreciably different at various tem- peratures below the boiling point of water. But, as the temperature rises, the repulsion increases with great rapidity; so that iron, when red hot, completely repels water, scarcely communicating to it any heat, except, perhaps, when under con- siderable pressure.* The boiler in question, however, seldom or never reaches the temperature of luminosity, though it is still sufficiently high to make a con- * Mr. Jacob Perkins brought this curious fact prominently forward during his ingenious experiments on high-pressure steam. It has, however, long been known as a philosophical fact, and was first observed in 1756, by M. Leindenfrost. M. Klaproth subsequently investigated it, and published some ex- periments on the subject (Nicholson's Journal, vol. iv., p. 208). In the "Parliamentary Eeport and evidence on the Scotch Distilleries for 1798 and 1799" (p. 610), there is a quotation from " Chaptal's Chemistry," showing that he was well ac- quainted with the fact ; and also some experiments by M. Zeigler, by which he ascertained that a drop of water took 89 seconds to evaporate from metal heated to 520 Fahrenheit, SURFACE OF BOILERS. 77 siderable difference in the heating of the water. Added to this, the form of it prevents the full effect of the heat being communicated to the pipes ; for the extreme smallness of the water- way prevents the rapid communication between the various parts, and therefore the upright or flow-pipe receives its principal supply of heat from that portion of the boiler which is imme- diately beneath where it is fixed, instead of that equable communication of heat from all parts, which is the ordinary process in boilers of good proportions. There is likewise a probability that steam would form in this boiler, which would still farther interfere with the circulation of the water. But were the water-way to be enlarged, all these inconveniences and probable causes of failure would proportionably decrease. All these causes of inefficient action may not exist simultaneously, yet they may act at different stages of the working of the apparatus. But they all apply equally to every boiler in which the rational limits of the surface, relatively to the capacity or contents of the boiler, have given place to wild chimeras and fanciful no- tions, not based on sound principles of philosophy. These remarks are exemplified in a boiler which has received the name of the Trentham boiler, and was at one time much lauded for its extraordinary economy. In shape it is exactly like the Cornish but that it only required one second when the metal was at 300 Fahrenheit. In the recent experiments "On the Explosion of Steam Boilers," by the Franklin Institution of Pennsylvania, a very thick iron ladle was perforated with a number of small holes, and then made red hot. When water was poured into this ladle, none of it escaped through the holes, until the ladle cooled down below redness ; and the quantity which after- wards passed through increased with every reduction of the temperature, the difference being quite appreciable even be- tween the temperature of 60 and 80 Fahrenheit. 78 SURFACE OF BOILERS. boiler, fig. 20. But the theory was propounded that the less water it contained the greater the effect would be ; and in large boilers of eight or ten feet long, the water-way was reduced all round the boiler to about an inch and a quarter. Practical working proved this to be a fallacy : and the much lauded Trentham boiler has now resolved itself into the ordinary Cornish boiler, which has been known and extensively used for a century and a half. (70.) It is obvious that the extent of surface which a boiler ought to expose to the fire should be proportional to the quantity of pipe that is required to be heated by it ; and it is not difficult to estimate these relative proportions with suffi- cient accuracy, notwithstanding the various cir- cumstances which modify the effect. (71.) It has been proved by experiments that four square feet of surface of an iron boiler will evaporate one cubic foot of water per hour, when exposed to the direct action of a tolerably strong fire. This, however, requires free exposure to the radiant heat of the fire; for the heat com- municated to the flue surfaces is only equal to one-third of that which is derived by the direct action of the fire, acting upon the bottom or sides of the boiler.* And it can be ascertained by * Mr. Eobert Stephenson's experiments on this subject clearly prove this proportion between the relative heating of flue surface and boiler, surface to be correct. In his ex- periments the flues consisted of tubes passing through the water ; and he found that while six square feet of boiler sur- face evaporated six gallons of water in 38 minutes, the flue surface, consisting of 24 square feet, had, in the same time, evaporated eight gallons. This will be found equal to evapo- rating one cubic foot of water per hour, from 3 7 square feet of the boiler surface exposed to the direct action of the fire ; and the same quantity of water evaporated by 11-9 square feet of the flue surface ; being in the proportion of 1 to 3. (See Wood's Treatise on Bait-roads, 3rd edition, p. 524.) In the best locomotive engines, the power of the boiler is equal to SURFACE OF BOILERS. 79 calculation, that the same extent of heating sur- face which will evaporate one cubic foot of water per hour from the mean temperature of 52, will be sufficient to supply the requisite heat to 232 feet of pipe four inches diameter, when the tem- perature of this pipe is to be kept at 140 above one cubic foot of water evaporated per hour by 1'7 square foot of boiler surface exposed to the direct action of the fire. This appears to be almost the greatest effect that can be produced at present. (Experiments on Great Western Railway, 1838.) In 1834, the Chevalier Pambour found the average of the engines on the Liverpool and Manchester Kailway to be one cubic foot of water evaporated per hour, from 2' 5 square feet of surface exposed to the direct action of the fire. The flue surface in all these experiments was calculated as equal to one-third that of the boiler surface. This high evaporating power can only be maintained when a very powerful draught is produced by mechanical means; and in all these cases there is a very great waste of fuel. In the original experiments of Watt, on steam boilers, he found that the average of eight square feet of boiler surface was required to evaporate one cubic foot of water per hour. This propor- tion is still very generally used; and by employing a large heating surface, economy of fuel is always produced. This is strikingly exemplified in the Cornish engines, the boilers of which have a larger surface than any others ; and the con- sumption of fuel (per horse's power of the engine) throughout Cornwall only averages one-fourth of that of the manufactur- ing districts of England. The whole of this saving, however, is not due to increased surface of the boilers ; a large propor- tion of it is owing to the mode of using the steam expansively, which is there carried to the extreme. (See Art 95.) Pambour has questioned the accuracy of the estimate for the proportionate effect of flue and boiler surfaces, which he considers do not differ so much in heating power as is gene- rally supposed ; but the doubt only applies to the boilers of locomotive engines where a very powerful blast is applied, and he agrees that, in other cases, the proportionate heating power of 3 to 1 for the boiler surface and flue surface is nearly correct. (Pambour's Treatise on Locomotive Engines, 2nd edition, p. 269.) Tredgold also gives the proportions as about three feet of boiler surface exposed to the direct action of the fire, to evaporate one cubic foot of water per hour, when the furnace bars are one-fourth the area of the boiler surface. 80 SURFACE OF BOILERS. that of the surrounding air.* From this, then, it appears that one square foot of boiler surface exposed to the direct action of thvfire, or three square feet of flue surface, will be sufficient in a hot-water apparatus to supply the necessary heat to about 58 superficial feet of pipe ; or in round numbers, the proportion may be stated as one foot of boiler to 50 feet of pipe. As this, however, is almost the maximum quantity of pipe which can be heated, or, in other words, the maximum effect which can be produced without mechanical means of producing draught, it is very desirable in all cases to allow an increased surface of the boiler; bearing in mind that not only will economy of fuel be thereby produced, but the apparatus will be much easier managed, and thus become more effective and cer- tain in its operation. The following Table gives the maximum quantity of pipe which a boiler will heat, calculated by the above rule, and supposing the best coals alone to be used : Surface of Boiler exposed to the direct action of the Fire. 4 square feet TABLE I 4-in. Pipe. will heat 200 feet, 300 I. 3-in. Pipe or 266 fe 400 533 666 933 1333 et, 2-in. Pipe. or 400 feet. 600 800 1000 1400 2000 8 . 400 10 . . . . . . 500 14 . . . . . . 700 20 . 1000 * It appears by calculation (Art. 99), that a four-inch pipe will lose -851 of a degree of heat per minute, when the excess of its temperature above the circumambient air is 125. If therefore, this excess were 140, the loss per minute would be 953 of a degree of heat. Calculating, therefore, this loss to be 57-18 degrees per hour, and estimating also (the latent heat of steam being 1000) that the cubic foot, or 1728 cubic inches of water evaporated, has received 1160 of heat, and that one foot in length of a four-inch pipe contains 150'7 cubic inches of water, we shall obtain 1 ^ Q 2 ^ X g* 6 - = 232 feet, as stated in the text. SURFACE OF BOILERS EXPOSED TO FIRE. 81 A small apparatus ought always to have more surface of boiler, in proportion to the length of pipe, than a larger one ; as the fire is less intense, and burns to less advantage in a small than in a larger furnace. The effect also depends greatly upon the quality of the coal, the height of the chimney, the rapidity of draught, the construction of the furnace, and many other particulars ; and it will always be found more economical, as regards the consumption of fuel, to work with a larger surface of boiler at a moderate heat, than to keep the boiler at its maximum temperature.* (72.) But beside all these causes that modify the effect, there is another, that will alter the proportions which may be employed. The data from which the calculation of the boiler surface is made, assume the difference to be 140 between the temperature of the pipe and the air of the room which is heated ; the pipe being 200, and the air 60. But if this difference of temperature be reduced, either by the air in the room being higher, or by the apparatus being worked below its maximum temperature, then, in either case, a given surface of boiler will suffice for a greater length of pipe. For if the difference of tempera- ture between the water and the air be only 120 instead of 140, the same surface of boiler will supply the requisite degree of heat to one-sixth more pipe ; and if the difference be only 100, the same boiler will supply above one-third more pipe * A useful formula for calculating the effect of boilers and furnaces in most common cases is as follows : One square foot of boiler surface exposed to the direct action of the fire, will boil 11 gallons of water, from 52 to 212 Fahrenheit per hour; or, in other words, it will add 160 of heat to 11 gallons of water. Or the same surface will evaporate 1 gallon of water per hour. The area of the furnace bars should be about one-sixth that of the boiler surface (see note to Art. 79). (J 82 SURFACE OF BOILERS EXPOSED TO FIRE. than the quantity before stated. It will, there- fore, sometimes occur in practice (where economy in construction is the primary object), that the quantity of pipe in proportion to a given surface of boiler may be even increased beyond the amount which is given in the preceding Table ; because, in forcing-houses, for instance, the temperature of the air will always be above 60 ; and in the warming of churches, 'warehouses, or other large buildings, the temperature of the water will generally be considerably below 200 the pipe not being required to be worked at its greatest intensity, and, therefore, in both these instances, a larger proportion of pipe may be applied to a given sized boiler. It therefore follows, that although a smaller boiler surface would really supply a sufficient quantity of heat, under strict manage- ment and constant attention, it will generally be better not to reduce the size of the boiler below what has here been stated ; for not only will the apparatus need less attention, but also the required temperature of the building can be thus much sooner attained, as well as more easily continued. A very good proportion, suitable for nearly every purpose, is to allow about one foot of boiler sur- face (calculated, as already described, Art. 71) to about 40 superficial feet of pipe, or other radiating surface, or about one-fifth more boiler surface than the preceding Table states. (73.) It may be desirable here to state what are the peculiar characteristics of a good boiler for this purpose, and how the qualifications of each par- ticular shape are to be judged of. A minute detail of the peculiarities of each of the various forms would scarcely be worth the space such a descrip- tion would require. The principal recommenda- tions of a boiler are, that it shall expose the largest surface to the fire in the smallest space ; SURFACE OF BOILERS EXPOSED TO FIRE. 83 that it shall effectually absorb the heat given out from the fuel, so that as little heat as possible shall escape up the chimney ; that it shall allow free circulation of the water throughout its entire extent; and that it shall not be liable to get out of order, nor rapidly deteriorate by continued use. The first of these qualifications is of itself a com- pound question. We have seen (Art. 71) that any surface exposed to the direct action of the fire, or, in other words, to the radiant heat, receives three times as much heat as a similar surface exposed merely to the conducted heat, or that which is afforded by the products of combustion after they are thrown off from the burning fuel. Here, then, is a very important distinction in boilers ; for as radiant heat passes in straight lines in every direction, it follows that the largest possible sur- face ought to be exposed immediately over the burning fuel, and that, too, at the least possible dis- tance ; because the effect of radiant heat decreases as the square of the distance between the radiating and the recipient bodies (Art. 235). It is no re- commendation of a boiler, therefore, to say that it contains a certain number of square feet of heating surface in a given space ; for unless this surface can be acted upon by the radiant heat of the furnace, a boiler of less than one-half the superficial measurement, if judiciously contrived for this object, may greatly exceed it in power.* * The most remarkable illustration of the effect of exposing a large surface to the direct action of the radiant heat is afforded by the evidence given before the Committee of the House of Commons, in 1798, on the Distillers of Scotland. Owing to the mode of levying the duty at that time, it became an object to work off the liquor from the still as rapidly as possible, irrespective of the cost of the apparatus or the expenditure of fuel. To such an extent was this carried, that the stills were actually charged, the wash distilled, and the refuse discharged about 520 times in 24 hours, or 2| minutes for each charge of G 2 84 ADVANTAGEOUS CONSTRUCTION OF BOILERS. It is by not attending to this distinction that so many people deceive themselves in the construc- tion of boilers. In order to increase the surface of the boiler as much as possible, they overlook this important distinction whether the surface so added is or is not exposed to the radiant heat of the fire ; and they frequently contract the surface exposed to the radiant heat in order to add a rather larger surface somewhere else ; overlooking the fact that, unless they can add three feet of surface in place of each foot they subtract from the former, the boiler will have less power than it had before. In this way complicated forms of boilers have been constructed, expensive in making, and inferior in power, as well as in economy of fuel, to other more simple forms. There are no boilers which possess these advantages in a greater degree than the boilers shown in figs. 18, 22, and 23 ; the former being the arched boiler, which appears to accom- plish all that can be desired as an efficient useful boiler, and the latter is the bell- shaped boiler, now comparatively little used, but still possessing great merit as a most efficient form of construction. The comparative disuse of this latter boiler probably arises from the great difficulty of setting it properly, and from being not so easily worked and kept clean in the flues as some others. It is almost neces- 16 gallons. There is no other instance known in the least approaching this extraordinary result, in which a small vessel of the measurement of 40 gallons could distil a charge of 16 gallons of wash in If minutes, half a minute more being required for charging the still, and the like time for discharg- ing the refuse. This was accomplished by having the still exceedingly flat, so that the largest possible surface was exposed to the direct action of the radiant heat, and the flame acted intensely upon the whole bottom surface of the still, and then passed off at once into the chimney. The waste of fuel was of course immense, but the rapidity of action was fully accom- plished. Report on Scotch Distilleries, 1799, pp. 517-731. ADVANTAGEOUS CONSTRUCTION OP BOILERS. 85 sarily made of cast iron, as the form is difficult to make of wrought iron. The part exposed to the fire is covered with a series of ribs two inches deep, and about one-fourth or three-eighths of an inch thick, radiating from the crown of the arch, at an average distance of two inches from each other. These ribs, it is evident, must increase the surface exposed to the fire to an enormous extent, and that, too, precisely where the effect is by far the greatest, being immediately over the burning fuel, and receiving the whole of the radiant heat from the fire.* (74.) The second qualification, that the boiler shall absorb the greatest quantity of heat from the fuel, is partly dependent on the cause already explained, and partly on the conducting power of the metal itself. In this respect the boiler (fig. 18) possesses an advantage over the other, in conse- quence of being made of wrought iron, and there- fore very much thinner. Were it made of copper, its effect would be still further increased (see Art. 245) ; but the greater expense of copper is an objection. * As early as the year 1828, the author adopted the plan of increasing the heating surface of these boilers by means of a great number of protuberances cast on the bottom, which protuberances were one inch long and seven-eighths of an inch diameter, and placed two inches apart from each other. Sub- sequently these pins, or protuberances, were still further ex- tended, so as to form continuous bars or ribs, radiating from the centre of the boiler ; and they were made one inch and a half deep, and three-eighths of an inch thick, and they were then placed as well on the surface exposed to the water as that exposed to the fire. This plan of increasing the heating surface was, in the year 1835, patented by Mr. Sylvester, both for cast and wrought-iron boilers ; and in 1841, Mr. C. W. Williams patented the same plan for wrought-iron steam boilers, the pins being, by his plan, screwed into the substance of the plate, instead of being formed by rolling, as proposed by Mr. Sylvester. It has been generally supposed that all sharp protuberances 86 INJURIES TO BOILERS. (75.) The third recommendation of a boiler, that it shall allow of a free circulation of the water, is entirely dependent on its form; and on this subject some remarks have already been made (Art. 68). And the last test of a good boiler, that it shall not be liable to get out of order, nor rapidly deteriorate, is one that depends partly on the goodness of the materials and workmanship, and partly on the mode of producing the combustion of the fuel. Some very important chemical effects appear to result occasionally, both from the fuel employed as well as from the method of combustion. The effects on copper are the most destructive ; and instances have occurred where the bottoms of copper boilers have separated entirely from the sides, as though cut through with a chisel, just at the part where the principal action of the .fire occurs; and others have become entirely riddled throughout the surface exposed to the fire. These are very rare occurrences, and the cause appears somewhat obscure ; but the subject will be better explained in a subsequent chapter (Chapter VI., Part II.). Generally speaking, a wrought-iron inside a boiler caused a more rapid ebullition of the water than a flat surface ; and the author in 1828 originally adopted this mode of increasing the water-surface as well as the fire-sur- face ; and the plan was afterwards followed both by Mr. Syl- vester and Mr. Williams in their patents. Subsequent experi- ments, however, have convinced the author that it is unnecessary to increase the water-surface by these means. In particular Mr. Josiah Parkes's experiments in 1840 (vide his published Eeport), on Mr. M. A. Perkins' patent steam- boiler, proved that, owing to the great conducting power of water, the whole of the heat generated by 117 superficial feet of iron exposed to the fire was abstracted by 44 superficial feet exposed to the water ; or that the water will absorb the heat at least 2 6 times as fast from the iron as the iron can receive it from the fire; and therefore it appears the internal pro- tuberances on the water-surface of a boiler are unnecessary. See also Art. 251. INJURIES TO BOILERS. 87 boiler will heat quicker, and with less expenditure of fuel, than a cast-iron boiler : it will also be less liable to accidents, as cast-iron boilers occasionally crack, particularly if they contain sharp angles in their construction, or if they are so formed that the fire acts unequally on them, and expands one part more than another. From these defects wrought-iron boilers are exempt. But, on the contrary, wrought iron will corrode much more rapidly than cast iron ; and in very damp situa- tions, where the stoke-hole or boiler-house is some- times left for half the year some inches deep in water, a wrought-iron boiler would be rapidly corroded, when a cast-iron one would be compa- ratively uninjured. Very destructive effects have sometimes been produced by using fuel strongly impregnated with sulphur. The effect produced by such fuel on the durability of boilers is very rapid. Boilers heated with such fuel will oftentimes be destroyed in one- fourth the time that they would have lasted, had a better fuel, free from sulphur, been employed. With a sulphurous coal the plates are very rapidly destroyed, and still more the rivet heads, which are sometimes entirely eaten away, leaving the boiler in a leaky and dangerous state. 88 CHAPTER V. On the Construction of Furnaces Combustion dependent on size of Furnace-bars Furnace-doors, and other Parts of Furnace Proportionate Area of Furnace-bars to the Fuel consumed Confining the Heat within the Furnace Direc- tions for building the Furnace for different Boilers Advan- tage of large Furnaces Modes of Firing Size of Chimneys. (76.) THE construction of the furnace for a hot- water apparatus is a matter which requires con- siderable care; for although, from the small size of the boilers generally used, the furnaces are by no means difficult to construct, it is a very common fault in building them to allow of such a very easy exit for the flame and heated gaseous matter, that a large portion of the heat passes up the chimney, instead of being received by the water in the boiler. This arises principally from the shortness of the flues in these boilers, in com- parison with those of steam-engine boilers ; and, in setting boilers for hot- water apparatus, it there- fore requires great caution to prevent an unneces- sary waste of fuel by erroneous principles in con- structing the furnaces. In giving some general instructions on the sub- ject of furnaces for hot-water apparatus, it is not intended minutely to describe the proper furnace for each different form of boiler ; but the plan of building the furnaces for three or four different forms of boilers will be given, and the application of the principles to other forms must be left to the discretion of those who erect them. CONSTRUCTION OF FURNACES. 89 (77.) The rate of combustion of the fuel in a furnace depends very little upon the total size of the furnace, but chiefly on the proportionate size of the furnace-bars. A furnace which possesses, for instance, an area of 12 square feet would not necessarily burn a much larger quantity of fuel per hour than one that had only an area of eight square feet, provided the area of the furnace-bars was the same in both cases, and that no more air was admitted to the former than to the latter. But, by building the furnace of considerable dimen- sions, and with a moderately small area of fire- bars, the fuel can be made to burn for a much longer period without attention or renewal ; and this is a very important object for this description of apparatus. For, so intense a fire is not required as is the case with a steam-boiler. A very small degree of attention is necessary with a furnace of a hot-water apparatus, which, when well constructed, ought to burn for ten or twelve hours without replenishing the fuel.* (78.) In all cases, a good and perfectly tight furnace-door is requisite; for, if the door does not fit accurately, a large quantity of cold air enters, and passes between the fuel and the bottom of the boiler, and cools the boiler to a considerable extent.f The furnace-door should always be double ; J and also a door to the ash- pit should be used, in order to shut off the excess * In some steam boilers, particularly in the Cornish boilers, the fuel is burned with slow combustion ; but the furnaces and boilers are very large in proportion to the work done by them, and great economy of fuel results from this plan of heating them (see Chapter VI., Part II.). f In a subsequent chapter, the combustion of smoke will be discussed, and it will then be shown that the admission of air at or near the furnace-door is sometimes desirable, but only in particular stages of the combustion. J Count Eumford first introduced these double furnace- doors, of which many modifications have been since adopted. 90 AREA OF THE FURNACE-BARS. of air below the furnace-bars when the fire is required to burn slowly for a great length of time. Immediately within the furnace-door there should be a dumb-plate ; and the larger this is the better, provided it does not project the furnace-bars too far back, so as to cause the most active part of the combustion to take place at the posterior part of the furnace, instead of immediately under the boiler. The use of a large dumb-plate in front of the furnace-bars is to allow the fuel to be gradually coked, by placing it first on this dumb-plate, and then, when well heated, pushing it backward upon the furnace-bars, where it enters into active com- bustion, and then a fresh charge of fuel is to be again laid on the dumb-plate, in order to undergo the same operation. By this plan of coking the coals on the dumb-plate, nearly all the smoke from the furnace may be consumed; by which a con- siderable saving of fuel will be effected,* and a great nuisance prevented. (79.) The size of the fire-grate, or furnace-bars, must be regulated by the quantity of pipe or other heating surface which the apparatus con- tains. The quantity of heat given off by a cer- tain extent of iron pipe, or other heated surface, can be exactly ascertained, and will be shown in the next chapter. From the data there given, we learn the quantity of coals required to be burned per hour in order to maintain the re- quired temperature. Having already given (Art. * See Chapter VI., Part II., on the "Combustion of Smoke," where it is shown that nearly 40 per cent, is saved by the combustion of the smoke. Those who wish to learn the endless forms which may be given to furnaces may see several hundred different forms and arrangements described in the various volumes of the following periodicals, namely : The Technical Repository, The Eepertory of Arts and Patent Inventions, The Mechanics' Magazine, The Quarterly Journal of Science The Reports of the British Scientific Association, &c. AREA OF THE FURNACE-BARS. 91 71) the extent of boiler surface required to heat a given quantity of pipe, it will be desirable now to show the area of the furnace-bars which will be required. It has already been stated (Art. 72) that the extent of boiler surface ex- posed to the fire may with advantage be increased beyond the dimensions already given ; and that economy of fuel will generally result from this increased surface. But the quantity of fuel that is burned ought not to be also increased in the same way ; and therefore the size of the furnace- bars, which alone regulates the quantity of fuel con- sumed, should be proportioned rather to the quan- tity of surface which radiates heat into the building, instead of bearing an exact ratio to the surface of the boiler. With ordinary furnace-bars, the spaces for the admission of air will generally vary from one- fourth to one-third of the total area of the space occupied by the furnace-bars. In such cases one square foot of furnace-bars will be sufficient to burn about 10 Ibs, or 11 Ibs. of coal per hour, under ordinary circumstances ; * and on this cal- * The consumption of fuel, on any given area of furnace- bars must depend upon the rapidity of the draught. In loco- motive engines, with an artificial blast from the steam, the consumption of fuel is about 80 Ibs. from each square foot of fire-grate per hour. In some furnaces the consumption is not more than 6 Ibs. per square foot, or about T ^ of the locomotive- engine furnace ; but the quantity given in the text is a mean rate. Mr. Andrew Murray (Minutes of Institution of Civil En- gineers, June, 1844) estimates the average consumption in steam-engine furnaces at 13 Ibs. of coal per square foot of furnace-bars, and that 150 cubic feet of air should pass through the furnace for each pound of coal consumed in order to pro- duce perfect combustion. Taking Dr. Ure's estimated velocity of 36 feet per second as the average rate at which the air passes through a furnace, Mr. Murray estimates the size of the opening over the bridge of the furnace ought to be 26 square inches for each square foot of furnace bars. The temperature of an ordinary furnace is assumed to be about 1000 of Fahren- 92 AREA OF THE FURXACE-BARS. culation the following Table has been con- structed : TABLE III. Area of Bars. 4-in. Pipe. 3-in. Pipe. 2-ln. Pipe. 75 square inches will supply 150 feet, or 200 feet, or 300 feet. 100 200 266 400 150 300. 400 600 200 250 300 400 500 400 533 800 500 666 1000 600 800 1200 800 1066 1600 1000 , 1333 , 2000 Thus, suppose there are 600 feet of pipe, four inches in diameter, in an apparatus ; then the area of the bars should be 300 square inches, so that 14 inches in width and 22 inches in length will give the requisite quantity of surface.* heit, and at this temperature the gases passing through it would be expanded to three times their original bulk; and these proportions will allow sufficient air to pass through the furnace to compensate for that portion which is not completely consumed. Tredgold, in his calculations, assumes the tem- perature of an average furnace at 800 Fahrenheit. See also Art. 397 and the notes appended thereto. * The proportions deducible from the above Table, and those given Art. 71, for ascertaining the boiler surface, are very different from those generally used in steam-engine boilers. It will be observed that, by the rules here given, the area of the furnace-bars is about one-sixth of the area of the boiler- surface exposed to the direct action of the fire, whereas in steam boilers the flue and boiler surfaces conjointly are usually in proportion to the surface of the furnace-bars as 11 to 1, and sometimes even as 18 to 1 (British Scientific Reports for 1842, p. 107). When this latter calculation, however, is reduced to the same standard as the other, viz. three feet of flue surface being equal to one foot of boiler surface exposed to the radiant heat, the difference will not be near so great as it here appears. And it must also be remarked that in large boilers the pro- portions must necessarily differ from those of the very small boilers required for a hot-water apparatus ; for the effect of radiant heat decreases as the square of the distance between the recipient surface and the hot body ; and therefore it is very easy to see how a considerable difference may arise between surfaces placed so differently in this respect as they necessarily must be in large and in small boilers. AREA OF THE FURNACE-BARS. 93 When it is required to obtain the greatest heat in the shortest time, the area of the bars should be proportionably increased, so that a larger fire may be produced; and, on the contrary, when the object is to obtain slow combustion of the fuel, and when the rapidity with which the apparatus becomes heated is of little or no consequence, then the area of the bars may be reduced. The best method, however, will generally be found in using a sufficiently large surface of fire-bars for the maximum effect required, and to regulate the draught by means of an ash-pit door and a damper in the chimney; by these means almost any required rate of combustion can be obtained, with any common degree of care.* (80.) When the size of the furnace will allow of it, a portion of brickwork should extend at the * When a rapid draught and quick combustion are required, the furnace-bars may very advantageously be made very narrow and deep, so as to allow a larger proportionate space for the entrance of the air. Instead, therefore, of using furnace-bars one and a half or one and three-quarters of an inch wide, with half an inch air-space between the bars, they may be made about three-eighths or half an inch in width, and about four and a half or five inches deep, tapering at the lower edge to about one-eighth of an inch, and made with shoulders, as usual, to allow about half-inch air-spaces. Bars of this kind will have many advantages in particular cases. They will allow more than twice the quantity of air to pass through that the other bars will do, and therefore twice the quantity of coal can be burned on each square foot of the bars ; and they will last longer than bars of the ordinary construction. The author, at the latter end of 1842, suggested the use of these bars in loco- motive engines, which is the most severe test they could be put to, and the result proved completely successful. Owing to the extreme thinness of the bars, the air passing between them keeps them always cool, which is impossible if the bars much exceed this thickness. The great depth of the bar gives the necessary stiffness ; and the result of nearly twelve months' trial, and with nearly twenty locomotive engines, was a very great increase in the durability of the furnace-bars, in addition to the obvious advantage of admitting much more air into the 94 CONSTRUCTION OF FURNACE-FLUES. back of the furnace-bars, and level with the bars, so as to make a dead-plate behind the bar as well as in the front, which makes the furnace hold more fuel without actually increasing the consumption. (81.) It is a matter of very great importance, that the heat should be confined within the fur- nace as much as possible, by contracting the farther end of it, at the part called the throat, so as to allow only a small space for the smoke and inflamed gases to pass out. The neglect of this causes an enormous waste of fuel; for, in conse- quence of the shortness of the flues of these boilers, the heated gaseous matter passes too readily from the boiler, and escapes through the chimney at a very high temperature. The only entrance for the air should be through the bars of the grate,* and the heated gaseous matter will then pass directly upwards to the bottom of the boiler, and should be there detained as long as possible by the contraction at the throat of the furnace. Some of these bars, after having been used for ten months, and with which the engines ran nearly 20,000 miles, were still perfectly good, after having done nearly four times the work of ordinary bars. The best size for this purpose is five and a half inches deep by half an inch thick, tapered to a quarter of an inch. In furnaces which have less intense heat than a locomotive engine, bars of four or four and a half inches deep are quite sufficient. When the old form of furnace-bars is used, and they are required to bear a very intense heat, their durability is in- creased by making a longitudinal groove in the upper surface about three-eighths of an inch deep. This groove becomes filled with ashes, which, being a slow conductor of heat, pre- serves the bars from the intense heat of the fire. * These observations apply exclusively to the small furnaces and boilers used for hot-water apparatus, and not to large furnaces for steam-boilers or for other purposes. In the latter, air may very advantageously be introduced at or near the furnace-door, or in many other ways, as will be shown in the chapter on the " Combustion of Smoke." Even in these CONSTRUCTION' OF FURXACE-FLUES. 95 FIG. 31. furnace ; * and if this part of the furnace be pro- perly constructed (by not making the throat too near the crown of the boiler, and making it suffi- ciently small in proportion to the total quantity of gaseous matter required to pass through it), a reverberatory action of the flame and heated gases will take place, by which a far greater effect will be produced than if too easy an exit were allowed into the flues and chimney. (82.) A furnace constructed on this plan is shown in fig. 31, 32, and 33, which is the mode in which many thou- sands of furn- aces have been constructed and applied to the boiler shown in fig. 18; this plan having been recommended by the author many years ago, and used with the most uniform suc- cess, f The way FRONT VIEW. to construct this furnace is as small furnaces, a limited quantity of air might in certain stages of the combustion be advantageously introduced ; but this would require so much more attention than is usually given, or indeed required, for an apparatus of this kind, that the rule given in the text will be found most advisable for ordinary practice. * See also note to Article 79, ante. f This plan of setting boilers was first used by the author in 1830, and was published subsequently, by consent, in the Horticultural Transactions. 96 CONSTRUCTION OF FURNACE-FLUES. follows. After building up the foundation of the boiler to the proper height, the bars are to be placed so that the front of the bars shall lie even with the front of the boiler, and the upper surface of the bars shall be level with the bottom of the boiler. The bars will generally be about two-thirds the length of the boiler; the remainder of the length of the furnace being made up with brickwork be- yond the bars towards the back end of the boiler. In front of the bars should come the dead-plate, about 9 inches wide ; and immediately in front of this dead-plate should come the furnace-door: the bottom of the furnace-door, the dead-plate, the furnace-bars, and the brickwork beyond the furnace-bars being all exactly on the same level. The distance between the front of the boiler and FIG. 32. FIG. 33. BACK VIEW. PLAN. the furnace-door will, by this arrangement, be just nine inches ; and this space is made up with the brickwork, which forms the general front of the whole furnace. In this brickwork are placed three soot-hole doors, to clean out the three flues. Two of these doors are shown in fig. 31; the CONSTRUCTION OP FURNACE-FLUES. 97 other one is supposed to be removed, to show the inside of the flue. At the back of the boiler are placed two fire-lumps, shown in fig. 32, and which are made to fit the size of the boiler. When these two fire-lumps are placed as shown in fig. 32, they leave an opening between them of from 3} to 4| inches, according to the size of the boiler. This opening should come, as nearly as may be, to the centre of the arch of the boiler: and it is the only passage for the flame and smoke to escape into the flues, which here divide to the right and left hand, passing along the sides of the boiler, and following the direction of the arrows, fig. 31. Two cast-iron plates are built into the brickwork, in the position shown by G, fig. 31, to divide the lower from the upper flue. These flue- plates do not come to the front of the boiler by from four to five inches, thus leaving a passage from the lower into the upper flue, and from the latter into the chimney. The whole of these flues, of which there is one on each side of the boiler and one on the top, are to be made as deep as ever the boiler will allow, and the brickwork should stand off from the boiler about 4i inches, forming v the width of the flues. By this arrangement it will be perceived, that nearly the power of a reverbera- tory furnace is obtained. The upper fire-lump, shown in fig. 32, partly stops the flame, and retains it as long as possible in contact with the inner arch of the boiler; and on this mainly depends the economy and efficiency of this plan of setting these boilers. The flame and smoke then pass between the two fire-lumps, dividing right and left into the two lower flues, and then in the direction of the arrows, fig. 31, into the two upper flues, and from thence passing into the top flue of the boiler, which latter should be nearly as large as the other two together. A damper must be placed H 98 CONSTRUCTION OF FURNACES. in the chimney in such a position as to be easily got at. (83.) This plan of setting arched boilers is per- fectly available for all boilers, from eighteen inches long up to about six feet long ; for boilers beyond that length, it is advisable somewhat to modify the plan, by placing a fire-lump within the inner arch, so as to form a bridge, which bridge should be formed to fit the arch of the boiler, but leaving a space of about five inches in depth, and the width of the arch, between the crown of the arch and the top of the fire-lump. When this bridge is used, the bottom fire-lump, already described, is not required. This latter mode of setting is only suitable for such boilers as are six feet long and upwards. In this case the bridge is best placed at the distance of about five feet from the front end of the boiler. (84.) The boiler, figs. 22 and 23, requires nearly the same arrangement; but in this boiler the aperture for the escape of the flame and smoke is generally made a part of the boiler itself. This opening is also somewhat lower down towards the level of the furnace-bars, and the boiler being circular, the flue generally winds round the boiler, instead of passing separately on the right hand and on the left. The boiler, fig. 21, may be set in the same kind of furnace as the boiler, fig. 18. If the two legs or protuberances at the bottom be very short and close together, the fire may be made to act upon the whole under-side of the boiler (the bars being fixed at some distance below), and the flame returned through a flue along the top. (80.) The boiler, fig. 20, may be set in two different ways. When the inside tube is suffi- ciently large, it is best to place the fire inside this tube, the furnace-bars being placed at about CONICAL BOILERS. one-third the diameter of the tube from the bottom. In this case the action of the furnace becomes very similar to that already described for the boiler, fig. 18 ; except that the water-way is continued below as well as above the fire. The throat of the furnace must be contracted, as already described for fig. 18; but in this case the flues must first pass directly under the boiler, and then pass along the two sides and top. When this boiler, fig. 20, is very small, the fire must be made entirely below the boiler ; and the boiler is then best made of an oval or flattened shape, both externally and in the tube. The flame, in this case, passes from the surface below, first through the tube, and then returns over the top of the boiler, and from thence the heated gases escape into the chimney. Or still another plan may be used, by making Fl(J the fire act first on the bottom of the boiler, then return to the front through the central flue, and then divide right and left on the outside of the boiler, then so on to the chimney as in fig. 33A. (86.) The boiler, fig. 24, as originally con- structed, had no external flue. It was chiefly used for very small apparatus, and it possessed the advantage, when a very slow draught was used (somewhat similar to that of the Arnott's stoves), of holding sufficient fuel to allow of the fire burning for a long time without attention, which is generally difficult to accomplish with very small boilers. The ingenious inventor of this boiler (Mr. Eogers) preferred this plan, though many new modifications of the boiler have been introduced. It is now frequently used with ii 2 100 MODES OF FIRING. an external flue. The temperature of this boiler is somewhat more difficult to regulate than that of the arched boiler , as the more the fuel burns away, the greater the heat becomes, in consequence of a larger surface of the boiler being then ex- posed to the radiant heat, and also because the fuel burns quicker, in consequence of the air meet- ing less obstruction in passing through it. In this case, the greatest heat is produced when about two-thirds of the fuel has burnt away. When the boiler has an external flue, the best mode of setting is to make the flue proceed from openings of about three inches by six inches, left at the bottom of the boiler, and leaving a free space for the flue, around the boiler, of two and a half or three inches, or thereabouts. The draught of air meeting less obstruction in passing through the external flue than by passing through the large body of fuel contained in the body of the boiler, the whole exter- FIG. 35. nal surface be- comes available for receiving heat from the fire, in- stead of being entirely useless, as in the other mode of setting. Of course, the same sized boiler will by this ar- rangement heat a larger quantity of pipe. Figs. 34 and 35 show this mode of setting these boilers. These boilers, however, will, under any form, expose but little surface to the radiant heat of the fire, and the external surface will scarcely exceed the flue sur- face of the arch-boiler, in its power of absorbing FIG. 34. MODES OF FIRING. 101 heat. This flue surface, we have already seen, only possesses one-third the absorbent power which those surfaces have that are exposed to the direct action of the radiant heat. The fire of this boiler, however, is not difficult to manage, and burns with but little attention. (87.) In the boiler, fig. 26, there is necessarily a considerable waste of fuel, in consequence of the flame escaping immediately into the chimney without passing through any flues, this form of boiler not admitting of any kind of flues being used. The flame passes between the several pipes which form the boiler, and of course can only act upon their under side. If the draught be rapid, a partial vacuum must be formed on the upper sides of the pipes, the flame passing in straight lines up- wards ; and, therefore, a loss of heat by radiation would take place from the upper side of the pipes which form this boiler. The boiler, however, heats rapidly, as the consumption of fuel in the furnace, owing to the rapid draught, is very considerable. (88.) The advantage of making the furnace to contain a large quantity of fuel has already been mentioned. But, independent of the smaller de- gree of attention required, when sufficient fuel to last for many hours is supplied at once, it is found practically that great economy results from this plan. From experiments made on this subject with steam-engine furnaces, it appears that the increased consumption of fuel always bears a direct proportion to the frequency with which it is supplied to the furnace ; and that in the experi- ments in question the greatest economy resulted when the fuel was supplied only once a day.* * Mr. Josiah Parkes on " The Evaporation of Water from Steam Boilers," in the Transactions of the Institution of Civil Engineers for 1838. This result, however, was obtained by a peculiar kind of furnace, in which air was admitted at the bridge as well as through the fire-bars. 102 MODES OF FIRING. When this plan is followed, the combustion is less intense than with more frequent firing ; and, therefore, a larger boiler surface is always required. Care also should be taken to prevent the ingress of an undue quantity of air through the ash-pit, when the fuel burns away and the furnace-bars thus be- come unequally covered ; for, in this case, a large quantity of cold air will rush in and cool the boiler. (89.) The rate of combustion materially de- pends upon the thickness of fuel on the furnace- bars, and on its compact or open state, as illus- trated in the two cases of small coal and of large well-burned coke. The quantity of air passing through the fire-grate or bars must be very different in these two cases, and the combustion wholly depends upon the quantity of air admitted to the fuel. For unless a sufficient quantity of air be admitted to convert the whole of the carbon into car- bonic acid gas, it will escape in the form of carbonic oxide, and a loss of effect will thereby arise (see Chap. VI., Part II., on the Combustion of Smoke). (90.) The greatest economy of fuel is produced when the fires are kept thin and bright ; the coal well coked, by means of a large dumb-plate in the front of the furnace, and the damper kept as close as possible consistent with allowing a suffi- cient draught. The Cornish engines, so cele- brated for their economy of fuel, are thus worked. The thinner the fire, the less is the probability of the formation of carbonic oxide, which always causes a loss of heat. When thick fires are used, this loss is frequently very considerable^ unless (as in Mr. Parkes's experiments already mentioned) air is supplied above the fuel as well as through the furnace-bars.* In the small fur- * In locomotive engines, the fires are frequently as much as 17 inches thick ; and the quantity of carbonic oxide formed in SIZE OF CHIMNEYS. 103 nace of a hot-water apparatus, it is frequently difficult, if not impossible, to adopt this plan of using a dumb-plate sufficiently large to coke the whole of the fuel which is used ; but the principle should be borne in mind in all cases, and applied as far as circumstances will permit. The theory of combustion will be given in the chapter on the Combustion of Smoke. (91.) It may, perhaps, not be amiss here to give some rules for the proper size of chimne} T s. Very elaborate rules have been given for this purpose by different authors, and the most extraordinary differences exist between them; their calculations giving results totally at variance with each other. But the practical rules are very simple. Mr. Mur- ray* estimates the area of the chimney should be about 18 square inches for a boiler consuming 12 Ibs. of coal per hour. Mr. Armstrong estimates the area at 20 square inches for the same consump- tion of coal.f Tredgold'sJ calculations give an area of about 14 square inches for the same quan- tity of coal consumed per hour, when the boiler is worked at a low temperature, and very con- siderably less than this when the temperature is high. Some of these calculations, however, are consequence of this great thickness is very considerable, and the loss of heat enormous. The thinner the fire, the more perfect must be the combustion. Carbonic oxide is formed by the carbonic acid (which is the result of perfect combustion) passing through the red-hot coke, by which it imbibes an additional quantity of carbon, and is converted into carbonic oxide. Ou all the carbonic acid that undergoes this change there arises a loss of one-half the heat derived from its ori- ginal conversion. The various methods of admitting air at the bridge, and at other places above the fuel, are all intended to obviate the loss ; reconverting the carbonic oxide into car- bonic acid, by supplying it with an additional dose of oxygen. * Minutes of Institution of Civil Engineers, June, 1844. t Armstrong on " Steam-boilers," p. 80. J Tredgold on " Warming and Ventilating," &c., p. 114. 104 SIZE OF CHIMXEYS. for much higher chimneys than are ever used for the purpose that we are here considering, and the lower the chimney the larger the area ought to be. But, from what has been stated, sufficient may be gathered to estimate the size of chimneys for such common purposes as are here supposed to be required.* * Those who wish to investigate this subject further may refer to PecleCs Traite de la Chaleur, p. 79 et seq. Wyman " On Ventilation," &c., p. 392 et seq. ; Sylvester " On Chimneys " ; Rees' " Encyclopedia, and Annals of Philosophy," &c. ; Gilbert " On Ventilation," &c. ; Quarterly Journal of Science for 1822; and Tredgold "On Warming and Ventilating," p. 114 et seq. ; and Dr. Ure, Pliil. Transactions, 1836. 105 CHAPTER VI. ESTIMATE OP THE HEATIXG SURFACES REQUIRED TO WARM ANY DESCRIPTION OP BUILDIXGS. Heat by Combustion Quantity of Heat from Coal Specific Heat of Air and Water Measure of Effect for Heated Iron Pipe Cooling Power of Glass Effect of Vapour Quantity of Pipe required to warm a given Space Time required to heat a Building Facile Mode of calculating the Quantity of Pipe required in any Building Quantity of Coal con- sumed. (92.) Having in the preceding chapters investi- gated the fundamental principles of the hot-water apparatus, we proceed to consider some particulars which are necessary to be known in order to apply the preceding remarks, and correctly to apportion the various parts of the apparatus, and calculate the effects which will be produced under various circumstances. Very erroneous notions are entertained by many persons as to the absolute quantity of heat con- tained in different substances. This subject has already been mentioned ; and in the present chapter we shall have occasion to apply this law of specific heat in several important calculations. (93.) It will, however, be desirable first to ascer- tain the quantity of heat which can be obtained by the decomposition of combustible materials by fire; for in this also, it may be observed, very erroneous notions prevail. The quantity of heat obtainable by the combustion of any substance is 106 HEATING EFFECT OF COAL. not, as many persons appear to consider, illimitable, but it is as fixed and determinate as any other of the laws of heat. The amount of heat by com- bustion depends on the chemical composition of the particular substance ; but although this heat may be either wasted or advantageously applied, according as the apparatus used for its combustion is imperfect or otherwise, still it must be remem- bered there is a maximum effect, which has been accurately ascertained, and which cannot be ex- ceeded in any form of apparatus : though in no apparatus yet invented has it been possible abso- lutely to render available the whole of this heat. Although every kind of fuel differs in the quan- tity of heat that it affords, it is unnecessary here to inquire into any other than the ordinary de- scriptions used for purposes similar to that we are now considering. The calculations, therefore, will be made with reference only to coal and coke of ordinary and average qualities. (94.) It is stated by Watt that one pound of coal will raise the temperature of 45 Ibs. of water from 55 to 212. Eumford states the same quan- tity of coal will raise 36^ Ibs. of water from 32 to 212; and Dr. Black has estimated that one pound of coal will make 48 Ibs. of water boil, supposing it previously to be at a mean temperature. These quantities, when reduced to a common standard, vary but little from each other. Watt's experi- ment, of 45 Ibs. of water being heated from 55 to 212, is equal to 39J Ibs. only, if heated from 32 to 212; and this nearly agrees with Count Rum- ford's calculation ; at least, the variation is not more than might be expected from a slight dif- ference in the quality of the coal. Dr. Black's estimate is as much in excess over the experiments of Watt as Rum ford's is in defect ; we may, there- fore, take the average of these three experiments, HEATING EFFECT OF COAL. 107 which will give us a result, that 39 Ibs. of water may be heated from 32 to 212 by one pound of coal. (95.) The results of later experiments show that, as an average effect, the above calculations are very accurate, when practically applied on a large scale. Mr. Parkes * found that the greatest effect he could produce, by his improved mode of firing, was 10'3 Ibs. of water at the temperature of 212 evaporated by one pound of coal; and that, by the ordinary methods of firing, the average obtained is only 7' 5 Ibs. of water of the like temperature evaporated by one pound of coal. The first of these is equal to 57 '2 Ibs. of water heated from 32 to 212 by one pound of coal ; and the latter is equal to 41 6 Ibs. of water heated to the like extent, and which very nearly agrees with the experiments of Watt, Kumford, and Black. In the Cornish engines, however, a much higher result is obtained. Mr. Parkes has given the results obtained in the " United Mines," during eight months, from which it appears the greatest evaporation is 15*3 Ibs., and the average quantity 11*8 Ibs. of water evaporated from the temperature of 212 by one pound of coal. The former of these gives 85 Ibs., and the latter 65 Ibs. of water, raised from 32 to 212 by one- pound of coal ; which results appear to be the highest that are practically attainable, and are very much greater than can be produced with any other boilers, or qualities of coal, than those with which the experiments were made. In all the subsequent calculations, therefore, the average of * Mr. Parkes " On the Evaporation of Water from Steam- Boilers," in the Transactions of the Institution of Civil Engi- neers, 1838; and these results very nearly agree with the results arrived at by Mr. Herepath from purely physical calcu- lations. (Herepath's Mathematical Physics, vol. i., p. 351.), See also note to Art. 71, ante. 108 SPECIFIC HEAT OF AIR AND WATER. the experiments of Watt, Rumford, and Black will be adhered to, as being the most correct for ordinary practice ; and we shall shortly have occasion to apply them, in elucidating that branch of the subject which is included in the present chapter. (90.) In order to ascertain the effect that a certain quantity of hot water will produce in warming the air of a room, there appears to be no better method than that of computing from the specific heat of gases compared with water. (97.) Every substance, it is well known, has its own peculiar specific heat : that is, a given weight, or volume, of any particular substance at a certain temperature, contains a definite amount of heat, which, if imparted to any other substance, will produce upon this last a certain known effect, though it will be different for every different body or substance. Now, it is ascertained that one cubic foot of water, by losing one degree of its heat, will raise the temperature of 2990 cubic feet of air the like extent of one degree ; and by losing 10 of its heat, it will raise the temperature of 2990 cubic feet of air 10 or 29,900 cubic feet one degree, and so on.* (98.) But this calculation regards only the ultimate effect which will be produced, without * The specific heat of equal weights of water and air, by the experiments of Berard and Delaroche, is found to be as 1 to 26669 : but as the volume or bulk of an equal weight of atmo- spheric air is to water as 827-437 to 1, we shall have -26669 : 1 : : 827-437 = 3102, which is the number of cubic feet of air that has the same specific heat as one cubic foot of water. This, however, appears to be rather too high a calculation ; for Dr. Apjohn, in a memoir recently published (Rept. Brit. Sci. Assoc., vol. iv.), gives the result of a new mode of determining the specific heat of permanently elastic fluids, by which he makes the specific heat of atmospheric air -2767 when that of water is represented by unity. Therefore 2767 : 1 : : 827 437 = 2990, which is the number given in the text. SPECIFIC HEAT OF AIR AND WATER. 109 reference to the time which will be required to obtain the result. To ascertain the time that is required to heat the air, which is a most essential element in every calculation connected with the subject under consideration, recourse must be had to direct experiments ; for the rate at which a given quantity of hot water will impart its heat to the surrounding air depends upon the nature and extent of surface of the body which contains it, as well as upon the degree of motion which the air possesses. The effect of the velocity of the air, however, is not necessary here to be considered, as it is only to a still atmosphere in a building that these calculations are to be applied. But as the radiating and conducting powers of different substances vary considerably, it is necessary to make experiments with the same substance or material as the pipes for which we wish to estimate .the effect, before we can arrive at any conclusions as to the quantity of heated surface that will be required to produce any desired temperature in a building. (99.) From experiments made to determine this question, it appears that the water contained in an iron pipe of four inches diameter internally, and four and a half inches externally, loses *851 of a degree of heat per minute, when the excess of its temperature is 125 above that of the cir- cumambient air. Therefore (by Art. 97) one foot in length of pipe four inches diameter will heat 222 cubic feet of air one degree per minute, when the difference between the temperature of the pipe and the air is 125.* * From the data given in Art. 270, Chap. XIIL, it appears that 171-875 cubic inches of water, exposed to the cooling influence of the air by 287 -177 square inches of surface of cast iron, loses 8 of a degree of Fahrenheit per minute when the air is 79 colder than the pipe : therefore =^- = 1-265 110 SPECIFIC HEAT OF AIR AND WATER. This calculation will serve as the basis by which we may estimate the quantity of heating surface for any building. But before we can apply it practically, we must know what quantity of heat the building will lose per minute, by the cooling power of the glass, by ventilation, radia- tion, and all other causes which may tend to lower its temperature ; for on these several causes must obviously depend the quantity of heat that is required to be added to it by the warming apparatus. (100.) The quantity of air required for ventila- tion, and the method of ventilating buildings, are considered in subsequent chapters (Chapters III. and IV., Part II.). It is unnecessary, therefore, in this place to pursue the subject further than to state that, in large buildings and rooms of dwell- ing-houses, a quantity of air equal to from three and a half to five cubic feet for each individual the room contains must be changed per minute, in order to preserve the wholesomeness and purity of the atmosphere.* will be the loss of heat per minute when the temperature of the pipe is 125 above that of the air. But this quantity of water, if exposed in a pipe of four inches diameter inside, and four and a half inches outside, will only be surrounded by 193-435 square inches of radiating surface; therefore 193-435x1-265 OK , ...,, ,, , - Q = -851 , will be the loss of heatjper irmiute by ^o7 * 177 a four-inch pipe, when the excess of temperature is 125 above the circumambient air. As all pipes are technically known by their internal diameter, this mode of measuring is here used, although the external measurement would be a more correct definition for these calculations. * This estimate is given for ordinary buildings. In the Houses of Parliament, and in some other buildings, where expense is of no consideration, a much larger quantity of air has been introduced for ventilation very beneficially; and when the cost of the apparatus is unimportant, it may be assumed that the larger the quantity of fresh air introduced, the greater will be the comfort and salubrity. In Chap, iv., LOSS OF HEAT IX BUILDINGS. Ill (101.) The loss of heat in all buildings having any great extent of glass we shall find to be very considerable. It appears by experiment* that one square foot of glass will cool 1*279 cubic feet of air as many degrees per minute as the internal temperature of the room exceeds the temperature of the external air; that is, if the difference between the internal and the external temperature of the room be 30, then 1 279 cubic feet of air will be cooled 30 by each square foot of glass, or, more correctly, as much heat as is equal to this will be given off by each square foot of glass ; for, in reality, a very much larger quantity of air will be affected by the glass, but it will be cooled to a less extent. The real loss of heat from the room will therefore be what is here stated. (102.) But though this amount is only calcu- lated for a still atmosphere, as intense cold is seldom or never accompanied with high winds,f no additional allowance needs be made for this cause, provided we estimate sufficiently low for the external temperature. For the highest winds are generally about March and September, and the average temperature of the former month is Part 2, where the ventilation of public buildings is considered, it will be observed that twelve feet per minute is assumed as the minimum quantity for each person ; and as a general rule it may be stated that the more people who are crowded into a given space the larger should be the supply of air to each individual. * "Experiments on Cooling," Art. 271. | That intense cold is rarely accompanied by high winds is matter of common experience. The obliquity of the sun's rays on the higher latitudes of the northern hemisphere, when near the time of the winter solstice, prevents the atmo- sphere of those places which are distant from the tropics from receiving any considerable quantity of heat ; and, therefore, the air being all of nearly equal density, there is but little tendency to aerial currents in the lower strata. 112 LOSS OP- HEAT IN BUILDINGS. 46, arid the latter 59J . The greatest diurnal variation of the thermometer is 20 in March, and 18 in September; so that the average tem- perature of the nights will be 36 in March, and 50 in September.* But we shall presently find (Art. 106) that when the external atmosphere is at 36, the quantity of pipe required to warm a building to 65 is only about one-half of what would be necessary were the external air at 10. Therefore, in calculating the quantity of pipe to warm buildings used during the night, we should estimate that the external temperature may fall as low as 10 Fahrenheit. Or if the building is re- quired to be warmed during the daytime only, we may estimate the external temperature may fall as low as 25 Fahrenheit. If we adopt these as the external temperatures we shall find that generally no further allowance needs be made for the effect ol high winds; because such high winds only occur when the external air is much above these limits, and therefore the quantity of pipe calculated by these rules will be correct both for cases of extreme cold and also for cases of very high winds ; which two conditions, as already stated, never occur simul- taneously.! * These temperatures are for the neighbourhood of London. In March, 1837, the night temperature, obtained by a register thermometer, only averaged 31-1, which is nearly 5 lower than has been known for many years. Mr. L. Howard, in his " Climate of London," states that the average temperature, ascertained by observation for ten years, is as follows : In London. In the Country. March . September Mean highest temperature . 47 31 48 46 Mean lowest temperature . 37-32 34-57 Mean highest temperature. 65-91 65-52 Mean lowest temperature . 52-45 47-03 t By reckoning the external air at the above temperatures, the wind may have a velocity of from twenty to thirty miles an hour, without producing any diminution of the internal LOSS OF HEAT IX BUILDINGS. 113 But in such situations as are very much exposed to high winds, it will perhaps be prudent to calcu- late the external temperature from zero, to com- pensate for the increased cooling power of the wind ; and, in very warm and sheltered situations, a less range in the temperature will be sufficient. Local knowledge of the situation will therefore be neces- sary to guide the judgment in particular cases. (103.) The difference between the cooling effect of glass which is glazed in squares and that which is lapped is very trifling in those buildings where the air contains much moisture. This is the case in hothouses, where the plants are constantly steamed ; and therefore, for such buildings, no farther allowance should be made on this account for loss of heat.* But in skylights of dwelling- houses, in consequence of the greater dryness of temperature ; for it is probable that the cooling effect of wind on ordinary window glass is not above one-half so much as appears by the experiments, Art. 271, in which the glass was so much thinner than ordinary window glass. * The calculations of the specific heat of air, given in the note, Art. 97, are only for dry air. If the temperature be at 60 and the air saturated with moisture, then the same quan- tity of heat will only raise the temperature of 2,967 cubic feet of this saturated air any given number of degrees, which would have raised 2,990 cubic feet of dry air to the like temperature. This 2,967 cubic feet of saturated air will contain 68 cubic inches of water; and this quantity of water will absorb as much heat during its conversion into vapour as would raise the temperature of 117,507 cubic feet of air one degree. This is equal to the entire heat that 46 feet of pipe, four inches diameter, will give off in ten minutes, when the temperature is 140 above that of the air. The glass will, however, cool much less of this saturated air than of dry air, for the mixture of air and vapour has greater specific heat than dry air. With lapped glass the loss of heat will be less with saturated than with dry air, because the vapour, when con- densed upon the glass, will run down and nearly fill up the crevices between the laps, and effectually prevent the escape of the air, and thereby avoid the loss of heat. I 114 LOSS OF HEAT IN BUILDINGS. the atmosphere, the heated air will escape through the laps of the glass in greater quantity, in pro- portion as less vapour is condensed on the surface. The height of the skylight will also make a con- siderable difference in the velocity of the escape of air through the laps, as it depends upon the same principles which have been explained (Art. 21) as governing the motion of water, the increased velocity being relatively as the height and the difference of temperature between the internal and external air.* (104.) In making an estimate of the quantity of glass contained in any particular building, the extent of surface of the woodwork must be care- fully excluded from the calculation. This is par- ticularly necessary in buildings used for horticul- tural purposes, where, from the smallness of the panes, the wood-work occupies a considerable space. The readiest way of calculating, and suffi- ciently accurate for ordinary purposes, is to take the square surface of the sashes, and then deduct one-eighth of the amount for the woodwork. In the generality of horticultural buildings, the wood- work fully amounts to this quantity ; but in some expensively finished conservatories, &c., it is con- siderably less, and therefore the allowance must be made accordingly. When the frames and sashes are made of metal, the radiation of heat will be quite as great from the frame as from the glass ; therefore, in such cases, no deduction must be made.f * See also Chapter V., Part II. | Some persons have imagined that the loss of heat from a glass roof will vary greatly with the angle which the roof forms with the horizon. But this variation in the effect can- not be very considerable. It can only be that portion of the heat lost by conduction of the air that can vary in this manner; and calculating the ordinary excess by which the LOSS OF HEAT IN BUILDINGS. 115 Some loss of heat will likewise arise from the im- perfect fitting of doors and windows. In these cases temperature of the hothouse exceeds the temperature of the external air, this portion of the heat is only about three- sevenths of the whole (see Art. 227, &c.). But a small part only of this quantity will be affected by the angle of the glass. For the cooling effect of wind will be in proportion to the num- ber of particles of air brought into contact in a given time ; aud with a horizontal wind this will be directly as the sine of the angle which the roof forms with the horizon. Supposing, then, the roof to be at an angle of 34, as recommended by Mr. Knight (Horticul Trans, vol. i. p. 99;, we shall find that the sine of the angle multiplied by the above-mentioned por- tion of the heat affected by the conducting power of the air will give as a result that, at the angle of 34, there will be about two-ninths more of the heat carried off by the conduct- ing power of the air than would be the case if the glass were placed horizontally. But, practically, this loss will be very materially lessened by an effect which is not capable of being reduced to any exact calculation. When a stream .of air strikes an upright surface of glass, it is not reflected back again upon itself, but glides along the surface, and try the increased heat will be' directed upwards in a vertical line. (" Quetelet's Philosophy," note 5, Appendix.) Passing, then, in this direction, it meets another stream of air proceeding in a line parallel to the original line of its motion ; and it is by this again driven more closely in contact with the glass. But, having been warmed by the contact in the first instance, it will abstract less heat from the glass, and will thus prevent, to a considerable extent, the further loss of heat, until by the upward motion of the air it finally escapes into space. The same effect will be produced by a glass roof lying at any angle ; but it is clear the heated particles will escape upwards more easily in proportion as the angle of the roof is smaller. Now, these effects are exactly the opposite of each other. The cooling effect of the wind increases with the angle of the roof, and is greatest on a vertical surface ; while the counter- acting influence, by the interference of the particles of air with each other, also increases in nearly the same proportion ; and therefore the variation in the angle of the roof makes far less difference than might at first be expected in the cooling effect. The difference, however, between the cooling of a vertical pane of glass and a perfectly horizontal one is not inconsiderable in high winds ; but the angle of a roof must be very small indeed before it can escape the influences above described, and be brought to assimilate with a horizontal roof. i 2 116 QUANTITY OF PIPE the circumstances vary very considerably ; but, in the majority of instances, no allowance is neces- sary for these sources of loss of heat, the external temperature of the air having been reckoned (Art. 102) sufficiently low to supersede the necessity of any farther deduction. (105.) From the preceding calculations, the fol- lowing corollary may be drawn : The quantity of air to be warmed per minute in habitable rooms and in public buildings must be from three and a half to five "cubic feet for each person the room contains, and one and a quarter cubic feet for each square foot of glass.* This air has to be heated from the external temperature, to the temperature at which the room or building is required to be kept. For conservatories, forcing-houses, and other buildings of this description, the quantity of air to be warmed per minute, must be one and a quarter cubic feet for each square foot of glass which the building contains ; and this air also will have to be heated from the external temperature to the proposed temperature of the building. When the quantity of air to be heated per minute has been thus ascertained, the quantity of pipe that will be necessary to heat the building may be found by the following rule : RULE : Multiply 125 by the difference between the temperature at which the room is purposed to be kept, when at its maximum, and the tempera- ture of the external air; and divide this product by the difference between the temperature of the pipes and the proposed temperature of the room ; then the quotient thus obtained, when multiplied * As corrugated sheet-iron is coining much into use, it may be proper to observe that the loss of heat from this kind of material is exactly the same as from the like extent of glass - (see " Experiments," Chapter XIII.), and must be allowed for accordingly, whenever it is used. FOR WARMING BUILDINGS. 117 by the number of cubic feet of air to be warmed per minute, and this product divided by 222, will give the number of feet in length of pipe, four inches diameter, which will produce the desired effect.* When the pipes which are to be used are three inches diameter, then the number of feet of four- inch pipe, obtained by this rule, must be multi- plied by 1 33, which will give the length of three- inch pipe ; or, to obtain the quantity of two-inch pipe, the length of pipe four inches diameter, ob- tained by the rule, must be multiplied by two ; the length required of three-inch pipe being one- third more than four-inch, and the length of two- inch pipe being double that of the four-inch, when the temperatures are the same in all. (106.) By the following Table, however, even the simple calculations given in this rule may be dispensed with. The Table shows the quantity of pipe four inches in diameter which is required to heat 1,000 cubic feet of air per minute wc\y number of degrees. The temperature of the pipes is as- sumed to be 200 of Fahrenheit, this being the most usual temperature at which they can be easily maintained. But, according to the length of pipe * Let p be the temperature of the pipe, and t the tempera- 125 tore the room is required to be kept at, then = x, which will represent the number of feet of pipe that will warm 222 cubic feet of air one degree per minute, when p t is different to the proportions given in Art. 98. If d represents the dif- ference between the internal and the external temperature of the room, and c the number of cubic feet of air which are to be wanned per minute, then x- ' = F will be the number of ISul feet of pipe, four inches diameter, which will warm any quantity of air per minute, according to the calculations, Art. 98. The rule given in the text has been arranged in such a manner that it may be worked without decimals. 118 QUANTITY OF PIPE which is heated by one boiler, the temperature will sometimes be greater and sometimes less than this estimate, the temperature of the water being generally higher when only a small quantity of pipe is used. When the quantity of air to be warmed per minute is greater or less than 1,000 cubic feet, the proper quantity of pipe will be found by multiplying the length given in the Table by the actual number of cubic feet of air to be warmed per minute, and dividing that product by 1,000. (107.) If the building which it is designed to warm is required to be used only during the day, the air, in this part of the country at least, is scarcely likely to be below 25; but if as for a forcing-house, for instance it is required to be heated both by day and by night, then, perhaps, 10 will not be too low to calculate from, or 22 below the freezing point. Suppose, now, we want to calculate the quantity of pipe required to heat a forcing-house to 75 in the coldest weather which we will assume to be 10 of Fahrenheit's scale, or 22 below freezing. We have already seen (Art. 101 105) that the quantity of heat required for horticultural buildings is merely so much as is necessary to replace the heat given off; or, in other words, to compensate for the loss sustained by the glass. The actual cubic measure- ment of the house signifies nothing in this case. It is the glass alone which gives off any appre- ciable heat ; and therefore whatever quantity of pipe will compensate for this loss of heat by the glass will also warm the house in the first instance and maintain it at the required temperature after- wards ; because, until the air of the house is heated to its maximum temperature, the glass will cool proportionally less air, the cooling power of the glass being obviously exactly proportional to the FOR WARMING BUILDIXGS. 119 TABLE IV. Table showing the Quantity of Pipe, four inches diameter which will heat 1,000 Cubic Feet of Air per Minute, any required number of Degrees: the Temperature of the Pipe being 200 Fahrenheit. Temperature of external Air. Fahrenheit's Scale. Temperature at which the Room is required to be kept. 45 50 55 60 65 70 75 80 85 90 10 126 150 174 200 229 259 292 328 367 409 12 119 142 166 192 220 251 283 318 357 399 14 112 135 159 184 212 242 274 309 347 388 16 105 127 151 176 204 233 265 300 337 378 18 98 120 143 168 195 225 256 290 328 368 20 91 112 135 160 187 216 247 281 318 358 22 83 105 128 152 179 207 238 271 308 347 24 76 97 120 144 170 199 229 262 298 337 '26 69 90 112 136 162 190 220 253 288 327 28 61 82 104 128 154 181 211 243 279 317 30 54 75 97 120 145 173 202 234 269 307 Freezing 32 47 67 89 112 137 164 193 225 259 296 I'omt. 340 40 60 81 104 129 155 184 215 249 286 36 32 52 73 96 120 147 175 206 239 276 38 25 45 66 88 112 138 166 196 230 266 40 18 37 58 80 104 129 157 187 220 255 42 10 30 50 72 95 121 148 178 210 245 44 3 22 42 64 87 112 139 168 200 235 46 15 34 56 79 103 130 159 190 225 48 ,' t 7 27 48 70 95 121 150 181 214 50 < }t 19 40 62 86 112 140 171 204 52 M tt 11 32 54 77 103 131 161 194 ' | %* To ascertain by the above Table the quantity of Pipe which will heat 1,000 cubic feet of air per minute, find, in the first column, the temperature corresponding to that of the external air ; and at the top of one of the other columns find the temperature at which the room is to be maintained ; then, in this latter column, and on the line which corresponds with the external temperature, the required number of feet of pipe will bo found. 120 QUANTITY OF PIPE difference between the internal and external tem- perature. The pipe, therefore, gives off more heat to the air in the earlier stages of the operation than the glass transmits by radiation to the external atmosphere. This difference in the effect is actually the rate at which the building becomes heated; and the increase of the temperature of the building continues until the radiating power of the glass exactly balances the heat given off by the pipes. But the heat given off by the pipes, it may be observed, constantly decreases, while the cooling power of the glass increases with every addition to the temperature of the internal air. We see, then, that when we have estimated the surface of glass in such a building, we can calculate the quantity of pipe that will heat it. For suppose the house has 800 square feet of glass : we find (Art. 105) that every square foot of glass cools one and a quarter cubic feet of air per minute as many degrees as the internal exceeds the external temperature. If therefore the external temperature be 1 0, and the internal temperature is required to be 75, then 800 square feet of glass will (as above stated) cool 1,000 cubic feet of ^ per minute from 75 down to 10. By the Table, then, in the column marked 75, and on the line marked 10 for external tem- perature, we find the quantity 292; which is the number of feet in length of pipe, four inches diameter, that are required to heat this 1,000 cubic feet of air per minute the required number of degrees. This quantity of pipe, therefore, will heat a building having 800 square feet of glass, whatever the actual size of the building may be. And whenever the quantity of air to be heated per minute is either greater or less than 1,000 cubic feet (or, in other words, when the quantity of glass is greater or less than 800 square feet), then the proper quantity of pipe will be obtained FOR WARMING BUILDINGS. 121 by the rule of proportion, as already stated (Art. 106). (108.) The above rule will not, however, give the length of time required to heat any particular building. This will, of course, depend upon many circumstances; nevertheless, some approximation may be made to the average time required. Sup- pose the maximum temperature of the pipe to be 200, the water being at 40 before lighting the fire ; then the maximum temperature in horti- cultural buildings will be attained with Four-inch pipes, in about four and a half hours. Three-inch pipes, in about three and a quarter hours. Two-inch pipes, in about two and a quarter hours. But if a larger quantity of coal than that given by the Table (Art. 114) be used if the surface of the boiler be much increased in proportion to the length of pipe if the quantity of pipe used be excessive or the temperature of the external air be higher than the estimated amount, then, in each of these cases, the time required for heating will be less. If, on the contrary, the required temperature be not attained in the time given above, then either too small a quantity of pipe, too small a surface of boiler, or too small a quantity of coal has been used. It should, however, be observed, that although the maximum temperature will not be reached, on an average, in less time than is above stated, still the required temperature will very often not take longer than half or two-thirds of this time, to be attained ; because the quantity of pipe being always apportioned to meet the case of extreme cold, when the external temperature is above that extreme limit, the pipe, by being superabundant, will warm the same space in a shorter time. 122 QUANTITY OF PIPE (109.) These calculations of the time required to heat buildings will only apply to those cases where the cooling surfaces are very large, and the propor- tion of the pipe very considerable, relatively to the actual dimensions of the building. Wherever, on the contrary, the cubical content of the building is large in proportion to its cooling surfaces, the time required to raise its temperature will be greater than is above stated, in consequence of the very small proportionate quantity of pipe; and this will be found to vary greatly in different descriptions of buildings. Churches and other large buildings (which only require a small heat- ing surface relatively t to their cubic contents) will generally require the longest time to heat ; dwell- ing-houses will require a shorter time, and horti- cultural buildings the shortest of all. The length of time above estimated only applies to the latter description of buildings. For the other kinds of buildings the period will be very variable, and can scarcely be determined, except for each in- dividual case. (110.) Yarious circumstances may, however, in- terfere to diminish the effect of the apparatus; such, for instance, as damp walls particularly if the building is new excess of ventilation, &c. The effect of damp walls in reducing the apparent power of an apparatus is very considerable, in consequence of the great quantity of heat which is necessary to evaporate the moisture. It will require as much heat to vaporise one gallon of water from the walls of a building as would raise the temperature of 47,840 cubic feet of air 10. The true power of an apparatus can, therefore, never be ascertained unless the building be per- fectly dry. The same cause, though in a much less degree, becomes operative in buildings which are only occasionally warmed ; and a longer time FOR WARMING BUILDINGS. 123 will always be necessary to heat such places than those that are in constant use. (111.) For estimating the quantity of pipe which is required to warm any building, rules of a much more facile character, though at the same time more loose and inaccurate than those that have been already given, may be deduced.* They are the results of experience, and they have been found so generally useful in practice, and in most cases so nearly accurate in their results, that they are here given at considerably greater length than in the earlier editions of this work. CHURCHES AND LARGE PUBLIC ROOMS. To heat these when they have an average number of doors and windows, and only moderate ventilation, divide the cubic measurement of the building by 200, and the quotient will be the number of feet in length of pipe four inches diameter, that will be re- quired to produce a temperature of about 55 in very cold weather. t This is equivalent to allow- * The following rules must not be confounded with that already given. The former rule gave the result entirely from an estimate of the quantity of glass, without any reference to the cubic contents of the building ; the present rules, on the contrary, are founded entirely on the cubic contents of the building without direct reference to the quantity of glass. The results, however, of the two rules will be found to agree with sufficient accuracy for most practical purposes. f Churches and other buildings for containing large assem- blages of people ought never to be heated to a very high tem- perature, on account of the great quantity of animal heat given off in crowded congregations. It has been ascertained, by calculations founded on the amount of oxygen consumed, that a man generates a quantity of heat in 24 hours sufficient to raise 63 Ibs. of water from the freezing to the boiling point. Of this quantity, as much heat is expended in forming the vapour that passes off by perspiration and by transpiration from the lungs as would heat about 36^ Ibs. of water 180 ; and the remainder of the heat, which is equal to raising the temperature of 26 Ibs. of water 180, passes off by radiation from the body. (QucteleCs Philosophy, Art. " Heat.") Now these 124 QUANTITY OF PIPE ing five feet of four-inch pipe for every thousand cubic feet of space which the building contains. If the apparatus is so contrived that the warming of the air is effected before it actually circulates in the room, and that the same portions of air are not returned to be heated a second time, but fresh portions of external air are brought successively in contact with the heating apparatus, it will re- quire from 50 to 70 per cent, more pipe to pro- duce the same effect ; but the air will, of course, be more pure and fresh.* . results, if reduced to the same standard that has been adopted in the preceding calculations, will lead to the conclusion that as much heat is given off per minute from the body of an adult man as would be produced by an iron pipe four inches diameter and three-and-a-half feet long, filled with water at 200. This estimate, however, in practice, would be found too high ; for where there is no muscular exertion less heat is produced; and the increased temperature of the surrounding medium would also prevent its free radiation. For, as all bodies only give off heat in proportion to their excess of tem- perature, the human body being constantly at the temperature of 98 nearly twice as much heat would be given off (if the body were freely exposed) when the surrounding medium is at 50 as would be the case if the latter were raised to 70. It is found also that, on an average, women only consume about half as much oxygen as men (Combe's Principles of Physiology, 4th edition, p. 222), and therefore they can only produce half as much heat ; the consumption of oxygen always being proportional to the heat generated. From these facts it will appear that not only should buildings such as those we are now considering, not be too highly heated, but that the pipes should be moderately small in diameter, in order to allow of the temperature being more easily lowered when the building is filled with people. Some experiments on the heat thus given off from the human body are given in Wyman " On Ventilation," p. 185, Boston, 1846. * This mode of calculating the quantity of pipe will differ from the previous mode of calculating by the surface of glass and the allowance necessary for ventilation, to a much greater extent in the case of churches than almost any other kind of building. The reasons for this are twofold : not only does the proportion of glass to the area of the building differ to a FOR WARMIXG BUILDIXGS. 125 DWELLIXG-ROOMS. These will generally require about 12 feet of four-inch pipe to every thousand cubic feet of space contained in them, to give a temperature of about 65. To raise the temperature to 70 will require about 14 feet of four-inch pipe. HALLS, SHOPS, WAITING-ROOMS, ETC., will require about ten feet of four-inch pipe to every thousand cubic feet of space, to raise the temperature to about 55. For a temperature of 60, about twelve feet of four-inch pipe will be required. WORK-ROOMS, MANUFACTORIES, ETC., where a tem- perature of about 50 to 55 only is required, will generally be sufficiently heated by six feet of four- inch pipe for every thousand cubic feet of space they contain. For a temperature of 60 about eight feet of pipe will be required. very great extent in different churches; but, besides this, if the quantity of pipe were only just sufficient to compensate for the loss by the cooling power of the glass, it would require far too long a time to heat the church to a required tem- perature, in consequence of its very great area in proportion to the total heating surface. In college chapels, and some other ecclesiastical buildings, where the quantity of glass is particularly small, this is remarkably the case ; and the former rule would hardly give one-fourth the quantity of pipe found by the latter. Now, in these cases, when the quantity of glass is so very small, a less quantity of pipe would certainly suffice than that obtained by the latter rule of allowing five feet of four-inch pipe for each thousand cubic feet of space: and it must be decided by experience which rule shall be adopted in such cases. In those cases where the warming apparatus is kept constantly in operation, the smaller quantity of pipe obtained by the first rule would suffice ; but in cases where the apparatus is only heated once or twice a week, it requires to be much more powerful, in order to produce the required effect in a sufficiently short time. In a very large majority of churches, the last rule given will be correct; but when any doubt may exist as to its applicability to any particular case, a very safe plan will be to calculate the quantity of pipe by both rules ; add the results together, and divide the resulting quantity by two. This plan will give a result which will safely meet almost any case that can arise. 126 QUANTITY OP PIPE SCHOOLS, AND LECTURE-ROOMS, requiring a tem- perature of 55 to 58, will require from six to seven feet of four-inch pipe to every thousand cubic feet of space. DRYING-ROOMS, or closets, for drying wet linen and other substances, require from 150 to 200 feet of four-inch pipe to every thousand cubic feet of space to raise the temperature to 120 when empty, or about 80 when the room is filled with wet linen.* DRYING-ROOMS, for curing bacon, or for drying paper, or leather, or damp hides, will require twenty feet of four-inch pipe to every thousand cubic feet of space to give a temperature of about 70. GREENHOUSES AND CONSERVATORIES, requiring a temperature of about 55 in the coldest weather, must have 35 feet of four-inch pipe for each thou- sand cubic feet of space they contain. GRAPERIES AND STOVE-HOUSES, requiring a tem- perature of 65 to 70 in the coldest weather, will require 45 feet of four-inch pipe for each thousand cubic feet of space ; and if a temperature of 70 to 75 is required, 50 feet of four-inch pipe must be allowed for each thousand cubic feet of space. PINERIES, HOTHOUSES, and CUCUMBER-PITS, re- quiring a temperature of 80, must have about 55 feet of four-inch pipe for every thousand cubic feet of space the house contains. Modern refinements have introduced heating by hot water in many other forms of buildings than originally contemplated. Thus STABLES are often thus heated, and they usually require about five feet of four-inch pipe per thousand cubic feet of space. COACHHOUSES require about the same quantity, and so also do DOG HOUSES and FOWL HOUSES. DAIRIES are also now frequently warmed * See also Arts. 176 and 177. FOR WARMING BUILDINGS. 127 in this manner. They require about 16 to 18 feet of four-inch pipe per 1000 cubic feet of space to give a temperature of about 56 Fahrenheit. The quantity of pipe estimated in this way will only suit for such buildings, whether horticultural or otherwise, as are built quite upon the usual plan and of the ordinary proportions; for, if they vary much from the most ordinary construction, these rules will not be accurate, and the method given in the former part of this chapter should then be employed. (112.) Although these calculations are all made on the supposition of using pipe of four inches diameter as the heating surface, it is by no means intended to recommend that as the best size for all purposes. For all horticultural purposes it is the best, where it can be used ; but for most other purposes, smaller pipes, or even other forms of heating surfaces, may generally be more advan- tageously employed. If the pipes used are only three inches diameter, we must add one-third to the quantities here given ; and if pipes of two inches diameter are used, double the quantity will be required. (113.) It should here be mentioned, that the calculations for the quantity of pipe required for horticultural buildings have been made with a view to the most economical mode of effecting' the desired object. Some of the most successful horticulturists, however, have adopted the plan of using a much stronger heat in their forcing- houses, and allowing, at the same time, a much greater degree of ventilation than usual. This plan is stated to produce a finer fruitage ; but it will only be obtained at an increased cost in the apparatus, and by a larger expenditure of fuel. Where economy is not required, it may perhaps be desirable to adopt this plan ; and then the quantity 128 QUANTITY OF COAL ot pipe which is used must be proportionally increased above the estimates which are given in this chapter. (114) The quantity of coal necessary to sup- ply any determinate length of pipe is easily ascertained, from the data given in Art. 270. After the water in the pipes is heated to its maximum, the quantity of coal consumed is, obviously, just what is required to supply the heat given off from the pipes. Now, by Art. 99 we find that when pipes four inches diameter are 146-8 hotter than the air of the room, the water contained in them loses exactly i per minute of its heat. By Art. 94, we find that 1 Ib. of coal will raise the temperature of 39 Ibs. of water 180; and as 100 feet in length of four- inch pipe contains 544 Ibs. of water, it will require 13*9 Ibs. of coal to raise the temperature of this quantity of water 180. If, therefore, the water loses 1 of heat per minute, or 60 per hour, this quantity of coal will supply 100 feet in length of pipe for three hours, if its temperature con- tinue constant with regard to the air of the room. On this principle the following Table has been constructed. The temperature of the pipe is assumed to be 200: then, knowing the tem- perature of the room, if we take the difference between the temperature of the pipe and that of the room, by looking in the Table for the corre- sponding temperature, we shall find under it the number of pounds weight of coal which will be required per hour for every 100 feet in length of pipe, in order to maintain the stated tempera- ture. Thus, suppose the pipe to be four inches diameter, and its temperature 200, while the room is at 75, then, under the column headed 125 (which is the difference between these two tem- peratures), we find 3-9 Ibs. as the quantity re- FOR WARMING BUILDINGS. 129 quired per hour for every 100 feet of pipe. The quantities stated in the Table are given in pounds and tenths of a pound. TABLE; V. Table of the Quantity of Coal used per Hour to heat 100 Feet in length of Pipe of different Sizes. Diameter of Difference between the Temperature of the Pipe and the Room in Degrees of Fahrenheit. Pipe, 1 in Inches. 150 145 140 135 130 125 1201151110 105 100 96 90 85 80 4 4-7 4-5 4-4 4-2 4-1 3-9 3-7 3-6 3-4 3-2 3-1 2-9 2-8 2-6 2-5 3 3-5 8-4 3-3 3-1 8-0 2-9 2-8 2-7 2-5 2-4 2-8 2-2 2-1 2-0 1-8 1 2 2-3 2-2 2-2 2-1 2-0 1-9 1-8 1-8 1-7 1-6 1-5 1*4 1-4 1-3 1-2 1 1-1 1-1 1-1 1-0 1-0 9 9 9 -8 8 7 i /? 6 6 (115.) It should, however, be borne in mind that an apparatus will not always consume the same quantity of coal ; in fact, it will seldom require near so much as the Table shows, because that is the calculation for the maximum effect. Suppose the quantity of pipe in a room has been accurately calculated, in order to maintain the temperature at 75 when the external air is at 30, the consumption of coal for pipes of four inches diameter will then be 3-9 Ibs. per hour for every 100 feet of pipe. But should the ex- ternal temperature now rise to 40, 77 feet of pipe would produce the same effect as 100 feet would in the former case ; therefore the pipe must be heated to a lower temperature; and it will be found by calculation, that only 3 Ibs. of coal would be used, instead of 3 9 Ibs. As much coal, therefore, as would supply 77 feet of pipe at the maximum temperature would suffice for 100 feet at this reduced temperature. The quantity of 130 QUANTITY OF COAL, ETC. fuel which is consumed will, therefore, be con- tinually subject to variation, as it will alter with the temperature of the external atmosphere ; and, in general, the average quantity of coal required will be fully one-third less than the amount given in the Table. It is almost unnecessary to observe that, in cal- culating this Table, it has been assumed that the boiler and furnace are of good construction; for on no other basis could an estimate be formed. Very great differences, however, exist in this respect ; and for such cases no estimate whatever can possibly be made. 131 CHAPTER VII. Various Modifications of the Hot- Water Apparatus Kewley's Siphon Principle The High-pressure system Holmes and Coffey's modifications Eckstein and Bushy 's Eotary Float Circulator Fowler's Thermo-siphon Price's improved Hot- water Boxes Eendle's Tank System Corbett's Trough System of Evaporation Theory of Evaporation. (116.) UNDER the common and generic term of "hot-water apparatus" various plans have been brought forward by different inventors, which, though essentially different in some of their features from those that have been already described, are, nevertheless, merely modifications of the general principles that have been explained. In the pre- sent chapter some of these peculiar modifications of the invention will be investigated ; and it will appear that the original principles of all are the same, but that other of the fundamental laws of Nature are here brought into action conjointly with those that we have already examined, and give rise to an apparent diversity of operation. (117.) The first notable invention of this sort which shall be mentioned, is Kewley's siphon principle. The sketch, fig. 36, shows this appa- ratus in its simplest form. The boiler is open at the top, and the two pipes dip into the water ; the pipe A descending only a very short distance below the surface, and the pipe B reaching nearly to the bottom of the boiler. A small flexible metal pipe, ^, is attached to the highest part of the pipes. To K 2 132 THE SIPHON PRINCIPLE. this an air-pump is connected, and the air in the pipes being exhausted by this means, the atmo- spheric pressure forces the water up the pipes and fills them 'completely. This avoids the ne- cessity of having a reservoir of water higher than the top of the boiler ; for it is well known, that the usual atmospheric pressure is capable of raising a column of water in a vacuum to about 30 feet in height, varying, however, with the degree of pressure shown by the barometer. The water in the longer pipe B will acquire a preponderance of weight over that in the pipe A even if it be at first of an equal temperature and density ; because the pipe B only receives the par- ticles of hot water which rise immediately under its base, while the other receives the heat from all parts of the bottom as well as the sides of the boiler; the water on the top being hotter than that at the bottom. But as soon as the water cir- culates through the pipes, it parts with its heat, and the whole length of the pipe B will then be colder than the pipe A, and the water will descend through B with greater force. In consequence of the long pipe B being sur- rounded by the hot water in the boiler, the water, while descending through it, receives a small portion of heat, which lessens the difference of temperature between the two pipes, and reduces the velocity of the circulation. It appears probable, therefore, that additional velocity of circulation would be gained by placing the descending pipe B outside the boiler, and attaching it to the side in the same manner as the return-pipe in fig. 5. The prin- THE SIPHON PRTNCIPLF. 133 cipal inconvenience attending this would be the difficulty of stopping the ends of the two pipes A and B, which is now done by the simple con- trivance of a plate screwed moveably to the base of each of the pipes, by means of an external rod passing over the pipes A and B, with a screw attached on the top ; and by turning this the plate is drawn up into close contact with the end of the pipe. This completely stops the water when necessary, the ends of the pipes being turned true to the plates, to make them water-tight ; and by reversing the action of the pump, attached to the pipe #, and thus making it into a force-pump, the soundness of the joints can then be ascertained. A leaky joint is difficult of detection by any other means, as there is no emission of water from it in the usual way. The only immediate consequence of a leaky joint is the immission of air, and it is not observable except by its stopping the circulation of the water, which occurs by the air accumulating and cutting off the connexion of the water between the two pipes. If this plan of having the return-pipe placed out- side the boiler were found to increase the motive power of the apparatus, an advantage would be gained in all those cases where the pipes are required to pass under a doorway, because, in all such cases, the boiler for this apparatus must be set much further below the level of the floor than is required for the common hot-water apparatus. But by increasing the motive power, a less height would be sufficient ; and it would therefore prevent the inconvenience sometimes found to attend this particular form of the apparatus, arising from the great depth the furnace is required to be sunk beneath the level of the pipes, in consequence of the very large size of the boiler which is generally used. 134 THE SIPHOX PRINCIPLE. (118.) A singular fact is connected with this invention, which deserves notice, because it arises from a philosophical principle, which, in some other instances, has been applied in a most useful manner;* though, with this particular invention, it is rather disadvantageous than otherwise. It has already been stated, that the height to which the water will rise in a vertical column, by the atmospheric pressure, is about 30 feet above the boiler. Supposing this to be the extreme limit to which the water will ascend in the pipes, the slightest elevation above this will cause a vacuum to be formed, similar to that at the top of a baro- meter, and the water at the top of the pipe will, in this case, be without any pressure. But if, instead of 30 feet, the pipe be continued upwards only 15 feet, then the pressure on the water, in the upper part of the pipe, will be 7i Ibs. on the square inch, or half the usual atmospheric pres- sure ; and so on for other heights. Now, the boiling-point of all liquids varies with the pres- sure. Water boils at 212, under the mean pres- sure of 15 Ibs. per square inch ; but by reducing the pressure, it boils at a lower temperature; so that at half the mean pressure of the atmosphere it boils at about 186. Suppose now that the pipes just described rise 30 feet above the boiler, the water at the top will boil at the temperature of 161, and will form steam in the upper part of the pipe ; and this, by its great expansion, will force the water down and overflow the boiler or the supply cistern. For, at the ordinary pres- sure of the atmosphere, steam occupies about * The boiling of liquids in vacua is well known, and has been most extensively applied in many cases. The boiling of sugar in vacuum-pans is one of the most successful appli- cations of science to the arts which modern times has pro- duced. THE SIPHON PRINCIPLE. 135 1,700 times as much space as the water from which it is formed, and still more at a diminished pressure, its expansion being inversely as the pressure. When the pipes rise to other heights above the boiler than that described above, the boiling-points will be as follows : At 5 feet high, the boiling point will be 203 10 .. . 195 15 20 25 30 186 178 169 161 Therefore the water in the boiler must always be kept below these temperatures, according to the height to which the pipes ascend.* This peculiarity, which applies only to pipes on the siphon principle, is more a philosophical fact than a practical difficulty ; for the water can generally be kept at a temperature sufficiently low for any ordinary height that is required. And, in fact, the boiling-point will generally be higher than the temperatures here stated because a small portion of air always remains in the pipes, which increases the pressure on the water, and * These calculations are made by Wollaston's rule for his thermometric barometer. But this rule, although accurate at moderately small differences of pressure, becomes erroneous at considerable reductions of pressure. Professor Kobinson esti- mates the boiling-point of water in vacuo at only 88, instead of 161, which the above calculation shows ; and it is probable that the relative proportion between the pressure and the boiling-point is in a logarithmic ratio, instead of the common arithmetical proportion of Wollaston's rule. This, in fact, is found to be the case at temperatures above 212. But it is probable that, in the present case, Wollaston's rule will give a more accurate result than the other, because, as the vacuum in the pipes cannot be at all perfect, the boiling-points will be much higher than the calculated temperature; perhaps even higher than stated in the text. See Robinson's Mechanical Philosophy, vol. ii., pp. 22-37 ; and Wollaston " On the Ther- mometric Barometer," Philosophical Transactions, 1817, p. 183. 136 THE HIGH-PRESSURE SYSTEM. makes the boiling-point higher than the calculated amount. This form of the apparatus answers the intended purpose when worked with care, and is a very ingenious application of scientific principles ; but it requires more care in working than the ordinary apparatus, and is now comparatively but little used. (119.) The next invention which we shall con- sider is the High-Pressure hot-water apparatus.* This apparatus consists of a coil of small iron pipe, built into a furnace, the pipe being continued from the upper part of the coil, and passes round the room or building which is to be warmed, forming a continuous pipe when again joined to the bottom of the coil. The diameter of this pipe is one inch externally, and half an inch internally. A large pipe, of about two and a half inches diameter, is connected in some part of the cir- culation, either horizontally or vertically, with the small pipe, and is placed at the highest point of the apparatus. This large pipe, which is called " the expansion pipe," has an opening near to its lower extremity, by which the apparatus is filled with water, the aperture being afterwards secured by a strong screw ; but the expansion pipe itself cannot be filled higher than the opening just named. After the water is introduced, the screws are all securely fastened, and the apparatus be- comes then hermetically sealed. The expansion pipe, which is thus left empty, is calculated to hold about -^ as much water as the whole of the small pipes ; this being necessary in order to allow for the expansion that takes place in the volume of the water when heated, and which otherwise would inevitably burst the pipes, however strong they may be. For the expansive force of water is almost irrepressible, in consequence of its possess- * Eepertory of Arts, &c., vol. xiii. (1832), p. 129. THE HIGH-PRESSURE SYSTEM. 137 ing but a very small degree of elasticity ; and the increase which takes place in its volume, by raising the temperature from 39 (the point of greatest condensation) to 212, is equal to about ^ part of its bulk, and at higher temperatures the expansion proceeds still more rapidly.* The temperature of these pipes, when thus arranged, can be raised to a very great extent; for, being completely closed, and all communi- cation cut off from the atmosphere, the heat is not limited, as usual, to the point of 212, because the steam which is formed is prevented from escaping, as it does in the common form of hot- water apparatus. The most important considera- tion respecting it, however, is the question as to its safety; for most persons are aware that steam, when confined beyond a certain point of tension, becomes extremely dangerous ; and in this ap- paratus the bounds of what hitherto has been used in other cases are very far exceeded. (120.) On the first introduction of this plan, it was usual to make the coil consist of one-fourth part of the total quantity of pipe which was used in the apparatus ; and it was considered that, when this proportion was observed, the heat of the pipes could not be raised so high as to endanger them by bursting. But in practice this has not always proved a preventive to acci- dent, even when the proportion which the coil bears to the radiating surface is much smaller than is here mentioned.! * See Table IV., Appendix. The force which would be exerted on the pipes by this expansion of -^ of the volume of the water would be equal to 14,121 Ibs. per square inch, according to the experiments of Professor (Erstead. Report, British Scientific Association, vol. ii., p. 353. t The specification to the patent for this invention states, that when the radiating surface is three times that of the coil, the pipes cannot burst. It has, however, been found ncces- 138 THE HIGH-PRESSURE SYSTEM. The average temperature of these pipes is stated to be generally about 350 of Fahrenheit. But a most material difference of temperature occurs in the several parts of the apparatus, the difference amounting sometimes to as much as 200 or 300. This arises from the great resist- ance which the water meets with, in consequence of the extremely small size of the pipes, and also from the great number of bends, or angles, that of necessity occur, in order to accumulate a suffi- cient quantity of pipe. In these angles, the bore of the pipe, already extremely small, is still fur- ther reduced, which causes the water to flow so very slowly, that a great portion of its heat is given out long . before it has circulated round the building which is to be warmed. The tem- perature of the coil, however, is what we must ascertain, if we wish to know the pressure this apparatus has to sustain, and thence to judge of its safety : for, by the fundamental law of the equal pressure of fluids, whatever is the greatest amount of pressure on any part of the apparatus must also be the pressure on every other part. (121.) Now the temperature of this apparatus is found to vary, not only with the intensity of the heat of the furnace, but also with the propor- tion which the surface of the coil bears to the surface of the pipe which radiates the heat. In some apparatus, if that part of the pipe which is immediately above the furnace be filed bright, the iron will become of a straw colour, which proves the temperature to be about 450.* In other instances it will become purple, which sary greatly to increase the proportion of radiating surface, in order to prevent the bursting by excessive pressure ; and the radiating surface is now frequently made ten times that of the coil in the furnace, in order to secure its safety. * See Table VI., Appendix. THE HIGH-PRESSURE SYSTEM. 139 shows the temperature to be about 530 ; while, in some cases, it will become of a full blue colour, which proves that the temperature is then 560. By this means the pressure on the pipes may be known ; for, as there is always steam in some part of the apparatus, the pressure may be calcu- lated so soon as the temperature is ascertained. By referring to Table I. in the Appendix, we shall find that a temperature of 450 produces a pressure of 420 Ibs. per square inch, while a temperature of 530 makes the pressure 900 Ibs. ; and when it reaches 560, the pressure is then 1,150 Ibs. per square inch. (122.) Those who are acquainted with the work- ing of steam-engines are aware that a pressure of three or four atmospheres is considered as the maximum for high-pressure boilers : but we see that in this apparatus the pressure varies from ten times to twenty times that amount. And it will also be borne in mind that, in consequence of the extremely small quantity of water used in these pipes, the slightest increase in the heat of the furnace will cause an immediate increase in the pressure on the whole apparatus. For it appears by a reference to the Table last mentioned, that if the temperature of the pipes be increased 50 above the amount before stated, the pressure will be raised to 1,800 Ibs. per square inch ; and by in- creasing the temperature 40 more, the pressure will be immediately raised to 2,500 Ibs. per square inch ; so that any accidental circumstance, which causes the furnace to burn more briskly than usual, may, at any moment, increase the pressure to an immense amount.* * This increased pressure is also extremely likely to occur in this apparatus when a portion of the pipe is occasionally shut off by means of cocks or valves. In this case the coil in the furnace becomes too powerful for the apparatus, and an explo- 140 THE HIGH-PRESSURE SYSTEM. (123.) The pipes which are used for this appa ratus are stated to be proved with a pressure of 2,800 Ibs. per square inch.* This is very probable : for as wrought iron of the best quality requires a longitudinal strain of 55,419 Ibs. to break a bar one inch square, so the force necessary to break a wrought-iron pipe of one inch diameter externally, and half an inch diameter internally, would be 13,852 Ibs., which is equal to 8,822 Ibs. per square inch on the internal diameter. But, on account of the strain on these pipes being transverse to the grain of the iron, and also in consequence of the welded joint of the pipe not being so strong as the solid metal, these pipes will not bear anything like the calculated amount of pressure. It is evident, however, that no ordinary force can burst them ; but, as this casualty does sometimes occur, this great strength of the materials proves the im- possibility of regulating the temperature in her- metically sealed pipes, so as to keep the expansive force of the steam within even this immense limit. (124.) Although this description of apparatus has been erected by many different individuals, possessing various degrees of mechanical know- ledge, and severally performing their work with different degrees of excellence, much uniformity appears in the result, in those cases where failure has occurred. From a comparison of a number of cases where accidents have happened to apparatus erected on this system, more than one-half have sion is then very likely to occur, unless the utmost caution be observed in regulating the fire. This source of danger is pecu- liar to the high-pressure system of heating, and does not at all apply to any of the other plans which have been described. * As pipes are always proved when they are cold, this does not at all show the strain they will bear when heated. On this subject see the following Note. THE HIGH-PRESSURE SYSTEM. 141 arisen from the bursting of the coil, notwithstand- ing the increased size of the expansion pipe renders this latter apparently the weakest part of the appa- ratus; the relative strength of pipes, with the same thickness of metal, being inversely as their diameters. (125.) The cause of the explosions occurring principally in the coil is owing to the iron becom- ing weaker in proportion as its temperature is raised ; so that, as the pressure increases, the iron decreases in strength to resist the strain.* Another circumstance also tends to produce the same effects. It is found, on breaking one of these pipes, after it has been used for some time in or near the fire, that the iron has lost its fibrous texture, and that it presents a crystallized appearance, similar to what is known as "cold short iron." This sin- gular change in the texture of iron has been noticed in other instances. Mr. Lowe (Report, British Scientific Association, 1834) has found that wrought iron at a red heat exposed to the steam of water for a considerable time, becomes crystal- lized ; and in many other instances also, even without the presence of steam, the same effect has been observed. The cause of this, phenomenon has not been clearly ascertained ; but, whatever it * The temperature of maximum strength for cast iron has been estimated at about 300 ; but the " Committee on the Explosion of Steam-Boilers," appointed by the Franklin Insti- tution, consider that the maximum for wrought iron is higher than this, and that 572 may be considered as the temperature of maximum strength. After the temperature of maximum strength is once passed, the decrease in the strength of wrought iron is considerable : at a red heat, or about 800, it loses about one-fifth of its strength. The maximum strength of copper, on the contrary, is at a very low temperature ; for the strength increases with every reduction of temperature down to 32, which is the lowest that has been tried. See Chapter XII., Arts. 265 and 266. 142 THE HIGH-PRESSURE SYSTEM. may be, the effect undoubtedly is to weaken the tenacity and cohesive strength of the metal to a very great extent.* (126.) But we shall find that, enormous as the pressure appears to be, with which these pipes are proved, it is not adequate to the working pressure which they sometimes have to resist. It has been ascertained that the strength of wrought iron decreases considerably at temperatures above 572, and as it also loses a great deal of its strength when it assumes the crystallized state, varying with the circumstances, and sometimes amounting to three-fourths of its original strength, it will appear that the proof pressure, when cold, for pipes which are to be used in this kind of apparatus ought, in fact, to be much greater than the amount to which they are actually proved ; and hence the cause of these pipes bursting after they have been in use for some considerable time, if they happen accidentally to get heated to very high tem- peratures. (127.) The question has sometimes been asked, What would be the effect on this apparatus if the * The author, in a paper which was read before the Insti- tution of Civil Engineers (Minutes of the Institution, June, 1842), endeavoured to trace the cause of the extraordinary change which iron undergoes in these and some other circumstances. Percussion at certain high temperatures produces an instanta- neous change, and, at lower temperatures, longer-continued percussion produces the same effect. Heating and rapid cooling likewise produce crystallization ; and, in every case, magnetism appears to accompany the phenomena ; but whether as cause or effect is not easy to determine. The subject is altogether of great interest, both in a practical and in a scientific point of view ; and experiments on a large scale are in progress in order to determine the question. Other metals besides iron are, probably to some extent, affected in a similar manner; and it is probable that, under certain circumstances, sponta- neous change in the molecular structure of iron occurs, though far more slowly than by the action of percussion and heat. THE HIGH-PRESSURE SYSTEM. 143 expansion-pipe were to be filled with water, as well as the small circulatory pipe? The almost immediate consequence would be the bursting of the pipes; for scarcely anything can resist the expansive power of water. The force necessary to resist its expansion is equal to that which is required for its artificial condensation. Now, at the temperature of 386, water expands rather more than ^ of its bulk; and to condense water this extent (Note, Art. 12) requires a pressure of 27,104 Ibs. per square inch; therefore, the bursting pressure at this temperature would be enormous. If the pipes were filled completely full of cold water, without allowing any room for expansion, and if they were then hermetically sealed, as before described, by increasing the temperature of the water only about 60, the expansion of the water would cause a pressure of 2,000 Ibs. per square inch on every part of the apparatus, reckoned by the internal measurement. (128.) The assertion has often been made, that the heated fluid contained in an apparatus con- structed on this plan will not scald, even if the pipes should chance to burst, because high-pressure steam, it is well known, is not injurious in this respect. But this is quite a mistaken notion ; for high-pressure hot water will scald, though high- pressure steam will not ; and the fluid which would issue through any fissure that might occur in these pipes could only be partially converted into steam, unless its temperature were at least 1,200. This is obviously impossible ; were it the case, the water would be all converted into steam the instant that it issued from the pipe. The reason that high-pressure steam does not scald is in consequence of its capacity for latent heat being greatly increased by the high state of rarefaction it instantaneously assumes when suddenly liberated ; 144 THE HIGH-PRESSURE SYSTEM. this lowers its sensible temperature, and causes it to abstract heat from everything that it comes in contact with. The scalding effect of high-pressure hot water, on the contrary, when suddenly pro- jected from a pipe or boiler by explosion, will always be the same, whatever its temperature may be while confined within the pipe; for, the instant it is liberated, a portion of it is converted into steam, and the remainder sinks to the tem- perature of about 212. (129.) Among the advantages which have been supposed to arise from the use of this invention, it has been imagined that, in consequence of the quantity of water which the pipes contain being so small, the consumption of coal would be less with this than with any other description of hot- water apparatus. We have seen, however (Art. 114), that the quantity of coal which is used is in proportion to the heat that is given off in the room that is warmed; and a reference to the Table (Art. 114) will show that the size of the pipe makes no difference in the consumption of coal per hour, provided the same effect is required to be produced, the only difference being in the length of time required to warm the water in the first instance. But there will, on the contrary, be a greater expenditure of fuel in this apparatus, in consequence of the coil affording less surface for the fire to impinge against than would be obtained by using a boiler. In addition to this, the colder any surface may be when exposed to the action of a fire, the more heat will it receive in a given time; therefore, as the heat of these pipes is nearly three times as great as that of a boiler, there must be a waste of fuel from this cause. (130.) In consequence of the intense heat of these pipes, it is sometimes found that rooms THE HIGH-PRESSURE SYSTEM. 145 which are heated by them have the same dis- agreeable and unwholesome smell which results from the use of hot-air stoves and flues. In reality, the cause is the same in both cases; for it arises partly from the decomposition of the particles of animal and vegetable matter that continually float in the air, and partly from a change which atmospheric air undergoes by pass- ing over intensely heated metallic surfaces. The electric state of the air is likewise altered by highly heated metallic surfaces, and exerts an important effect on all animal bodies exposed to its influence. Some experiments on this subject are recorded in the Philosophical Transactions of the Royal Society (Vol. XXVII. p. 19&). Also in the year 1874 the French Royal Academy appointed a commission to examine the effect produced on atmospheric air by cast iron surfaces, made red hot. Babbits were made to breathe air passed over stoves of cast iron heated to redness ; and afterwards chemical ex- amination of the blood of the animals was made to ascertain the presence of carbonic oxide. The Commissioners reported that " the experiments made upon rabbits do not permit us to fix with any precision the proportions of carbonic oxide absorbed by their blood, nor that of the oxygen which has been expelled from it; but the results all agree to show that the use of stoves of cast iron heated to a red heat, causes in the blood (by the presence of carbonic oxide) a gas eminently poisonous, and causes changes whose repetition may become dangerous." Whether wrought iron produces the same effect is not clearly ascertained. (131.) The high temperature of these pipes, and the intensity at which the heat is radiated from them, have sometimes been urged as an objection against this invention, when applied to horticultural purposes, because any plants which 146 THE HIGH-PRESSURE SYSTEM. are placed within a certain distance of them are destroyed. Although, no doubt, this effect really takes place, it can be easily avoided with proper care; for, as radiated heat decreases in intensity as the square of the distance, it only requires that the plants should be placed farther off from these pipes than from those which are of a lower tem- perature. In comparing the effect of two dif- ferent pipes, if one be four times the heat of the other (deducting the temperature of the air in both cases), the plants must be placed twice as far off from the one as from the other, in order to receive the same intensity of heat from each. The only inconvenience, therefore, is the loss of room, which in some cases may not be of much importance. But a more serious objection by far appears to lie in the inequality of tem- perature which any building heated by these pipes must have, in consequence of their being so very much hotter in one part than in another. This difference of temperature between various parts of the same apparatus has already been stated to amount, in some cases, to as much as 200 or 300 ; varying, of course, with the length of pipe through which the water passes. From what has been stated in Chapter IV., it will also be observed that, owing to the smallness of these pipes, this kind of apparatus cools so rapidly when the fire slackens in intensity, that the heat of a building which is warmed in this manner will be materially affected by the least alteration in the force of the fire, instead of maintaining that perma- nence of temperature which is so peculiarly the characteristic of the hot-water apparatus with large pipes. (132.) This invention undoubtedly exhibits great ingenuity ; and could it be rendered safe, and its temperature be kept within a moderate limit, it THE HIGH-PRESSURE SYSTEM. 147 would be an acquisition in many cases, in conse- quence of its facile mode of adaptation. Its safety would perhaps be best accomplished by placing a valve in the expansion-pipe, which, from its large size, would be less likely to fail of performance than one inserted in the smaller pipe. If this valve were so contrived as to press with a weight of 135 Ibs. per square inch, the temperature of the pipes would not exceed 350 in any part ; the pressure would then be nine atmospheres, which is a limit more than sufficient for any working apparatus where safety is a matter of importance. (133.) A modification of this apparatus was proposed, and a patent taken out in 1832, by Mr. Holmes, for using oil instead of water.* As fixed oils boil only at very high temperatures, it was supposed there would be no liability to bursting the apparatus, as the temperature could not be raised sufficiently high to produce any pressure similar to that from steam. The temperature pro- posed to be employed was about 400, but the plan entirely failed, in consequence of oil, when exposed to very high temperatures for any considerable length of time, becoming thick and viscid, finally losing its fluidity, and becoming a gelatinous mass. Of course, under these circumstances, no circulation of the oil could be produced, so as to render the apparatus practically useful. (134.) A patent was also taken out in December, 1866, by Mr. John A. Coney, for using distilled mineral oil, very nearly in the same manner as above described. This mineral oil, when properly distilled, is not inflammable, and it may be heated to nearly 1000 Fahrenheit without producing any pressure in the pipes, and still retain its fluidity. The death of the inventor, and other circumstances, have hitherto prevented the general use of this * Repertory of Arts, the friction is found to be in all cases directly as the length of the tube, and inversely as the diameter. In general practice, a deduction of from one-fourth to one-third of the initial velocity is necessary to compensate for these several effects, and to represent the true rate of efflux. The velocity of discharge per second through ventilating tubes, or chimneys, will therefore be found (after the difference in height of the two columns of air has been calculated in the manner already stated) to be equal to eight times the square root of the difference in height of the two columns of air in decimals of a foot ; this number reduced one-fourth, to allow for friction, and the remainder multiplied by 60, will give the true velocity of efflux per minute ; and the area of the tube in feet, or decimals of a foot, multiplied by this latter number, will give the number of cubic feet of air discharged per minute. (350.) In calculating the rate of efflux of the air from any room or building, it is not merely the height of the room which must be considered, but the total height of the column of heated air. Thus, if the ventilating tube passes through another room or loft over the room to be ventilated before it discharges the vitiated air into the atmosphere, the total vertical height from the floor of the room to the top of the tube is the effective height of the column of heated air. If the tube in its course passes horizontally, this additional length 360 ON THE VARIOUS METHODS may be neglected in the calculation in all ordinary cases, as it makes no other difference in the result except that of increasing the friction by so much additional length. The vertical height is that which alone governs the rate of the discharge, and the horizontal length of the tube is merely one of the fortuitous circumstances which slightly modify the result.* (351.) As the vertical height of the column of heated air governs the velocity of discharge in the ratio of the square root of the height of the column, it is necessary if more than one ventilating tube or opening for the escape of the heated and vitiated air be made, that they shall all be similar in height, otherwise the highest vent will prevent the efficient acting of the lower one, and the discharge may even be less through the two tubes than it would be with the upper one alone. The cause of this apparently paradoxical effect is not difficult of explanation. If we suppose a tube, open at both ends, to be filled with heated air, it is evident the velocity of the ascent will be proportional to the height of the tube and the excess of temperature of the air which it contains, the weight of the external air pressing the lighter column upwards, as already explained. But if another opening be made at the side of the tube, at one-half the total height, then this opening at the side will not emit any portion of the heated air, but will, on the contrary, admit a quantity of cold air ; and the velocity of its admission will be, like that of the cold air at the bottom of the tube, in proportion to the height of the heated column of air in the tube above the opening. Now, as the * This remark must be taken with its proper limitation, for cases may arise where the friction caused by the horizontal tube may become a very important element in reducing the velocity of the discharge when the horizontal length is great in proportion to the vertical height. column of air above this opening is only one-half ^ui^ the height of that above the former opening at the bottom of the tube, the velocity with which the air enters it will be, compared to the velocity with which it enters the opening at the bottom, as the square root of the height of the heated column of air above the respective openings. Both these openings will therefore admit cold air at the same time ; but, by the admission of the cold air at the middle of the tube, the temperature of the superin- cumbent atmosphere above the lower opening will be reduced, and the velocity with which the air enters the lower opening will therefore be dimi- nished ; the excess of temperature of the air in the tube being the primum mobile of the efflux. The interference of the different currents will likewise reduce the quantity of air discharged; and the total result will be that somewhat less air would be discharged under these circumstances than if the whole of the air had entered at the bottom. (352.) Precisely the same effects as here de- scribed take place in the ventilating of rooms by openings at any height above the level of the floor. The highest opening alone will act as the abduc- tion tube, and all openings below this will act as induction tube, reducing the discharge by lower- ing the temperature of the air of the upper part of the room, and also by causing in it counter- currents. Some modifications of this result will, however, occasionally occur, as, for instance, when the abduction tube is too small; in which case, the next lowest opening will also act in carrying off the heated air. On the other hand, when the openings for the admission of cold air are too small in proportion to those for the egress of the hot air, then the current of cold air will descend through part of the hot-air tube, and the hot air will ascend through the other part of the same tube. 362 ON THE VARIOUS METHODS These effects are frequently very sensibly felt in churches and other buildings, where part of the ventilation is effected by means of the windows. The cold air entering at these windows generally descends upon the heads of those who are placed near them. The effect of this entering current is to lower the temperature of the vitiated air, which parts with a portion of its heat to the fresh air entering the building, and the vitiated air being heavier than fresh air of the same temperature, it falls by its greater specific gravity, and is again breathed by the persons assembled, instead of the pure air which they would have received, had the openings for the admission of the fresh air been at or near the floor of the building. No plan of ventilation can be worse than that just described, which, however, is the method adopted in a very great majority of churches and other large buildings. Notwithstanding this plan has obtained such extensive adoption, it is certain that it is opposed to every sound principle of science, and has had its rise in the most perfect ignorance of the physical laws ; and no better proof than this need be adduced to show how very little the true principles of ventilation have been studied, and how erroneous any conclusions on this subject are likely to prove that are not based on the known laws which govern the motion of fluids. (353.) In all the methods of ventilation, it is advisable to make the aggregate area of the open- ings that admit the fresh air larger than the aggregate openings for the efflux of the vitiated air. This becomes necessary notwithstanding the increase of volume which takes place in the heated and vitiated air. If the opposite course be adopted, and the abduction tubes be larger than the eduction, then a counter-current takes place in OF PRODUCING VENTILATIOX. 363 the hot-air or ventilating tubes, and the cold air descends through them ; but by making the induc- tion tubes numerous, and of a large total area, the velocity of the entering current is reduced, and unpleasant draughts are avoided. It is also expedient to divide the entering current as much as possible. By so doing it prevents the dan- gerous effects of cold draughts, when the enter- ing current is colder than the air of the room ; and when it is hotter than the air of the room, it prevents the air from rising too rapidly towards the ceiling, and therefore distributes it more equally throughout the apartment. Provided the aggregate openings for the admission of cold air be not less in size than those for the emission of the heated air, the quantity of air which enters a room depends less upon the size or number of the openings which admit the fresh air than upon the size of those by which the vitiated air is carried off. This will be evident when it is con- sidered that, the room being always absolutely full of air, no more air can enter until a portion of that already in the room be removed. But as soon as a portion of the air which previously occupied the room is removed, a similar quantity of fresh air rushes in to supply its place, the quantity entering being exactly equal to that which escapes.* The only exception which occurs to this rule is the slow interchange among the particles of air which takes place, according to the laws of gaseous diffusion, through the lower as well as the upper openings of the room, and which * This description, perhaps, scarcely gives the exact cir- cumstances of the case ; for in spontaneous ventilation a small portion of the cold air will enter before any discharge takes place from the room. The compression produced by the fresh air entering causes the heated air to flow out as described Art. 350. 364 ON THE VARIOUS METHODS continues so long as any inequality exists either in the specific gravity or in the composition of the gaseous matter. This diffusion among the particles of different gases is known as the laws of endosmose and exosmose, and the effects are remarkable in many cases. (354.) The following Table will show the dis- charge per minute through a ventilator one foot square, for various heights and differences of tem- perature, the allowance which has already been stated (Art. 349) having here been made. The discharge through a ventilator of any other size TABLE XXVIII. Table of the Quantity of Air, in Cubic Feet, discharged per Minute through a Ventilator of which the Area is one Square Foot. Height Excess of Temperature of Boom above the External Air. of in Feet. 5 10 15 20 25 30 10 116 164 200 235 260 284 15 142 202 245 284 318 348 20 164 232 285 330 368 404 25 184 260 318 268 410 450 30 201 284 347 403 450 493 35 218 306 376 436 486 531 40 235 329 403 465 518 570 45 248 348 427 493 551 605 50 260 367 450 518 579 635 %* The above Table shows the discharge through a venti- lator of any height, and for any difference of temperature. Thus, suppose the height of the ventilator, from the floor of the room to the extreme point of discharge, to be 30 feet, and the difference between the temperature of the room and of the external air to be 15, then the discharge through a ventilator one foot square will be 347 cubic feet per minute. If the height be 40 feet, and the difference of temperature 20, then the discharge will be 465 cubic feet per minute. OF PRODUCING VENTILATION. 365 may easily be calculated, because, as the area is here 144 square inches, we have only to multiply the number of feet found by the Table, by the number of square inches in the area of the proposed ventilator, and then, by dividing that number by 144, the quotient . will be the quantity sought, which will represent the number of cubic feet of air that will be discharged per minute by the pro- posed ventilator. (355.) As the discharge through any given height and size of ventilator is less in proportion as the difference between the external and internal temperature is smaller, it follows that it will be most difficult to obtain ventilation in hot weather. In summer, either the number or the dimensions of the ventilators should be increased ; otherwise a room which is well ventilated in winter will be extremely uncomfortable in summer. The increase in size can be effected by having movable ventila- tors, which can be contracted at pleasure ; and the actual size of the trunk or channel which conveys the air away should be sufficiently large to carry off the greatest quantity of air required for summer ventilation. (356.) The method of spontaneous ventilation which has been described requires, in every case, that the air of the room to be ventilated shall be of a higher temperature than the external air. In very hot weather and with crowded assemblies, this method is generally insufficient to secure a whole- some and comfortable state of the atmosphere. But artificial means have long been in use for increasing this effect. This is accomplished in two ways : either by heating the air in the upper part of the ventilating tube, which causes it to ascend with greater rapidity, and thereby to draw it out of the room or building ; or by causing the air of the building to pass through a furnace, 366 ON THE VARIOUS METHODS from which all other supply of air is excluded. Both these plans have been extensively used, and both answer the intended purpose. The principal theatres in London are ventilated by the former method, advantage being taken of the heat of a large chandelier placed near the ceiling in the centre of. the house. The heat of this chandelier causes a great rarefaction of the air, and increases the draught ; and it thence passes out through tubes into the open atmosphere, the buildings being supplied with fresh air from below. The method of ventilating by causing the vitiated air to pass through a furnace has also been long and exten- sively employed.* In many manufactories, this method is economically applied, where fire-heat is used either for steam-engines or other purposes. All that is necessary is to conduct the air from the rooms requiring ventilation, through tubes, into the ashpit of the furnace, all other supply of air to the ashpit being prevented ; and the draught of the fire causes, a rapid abstraction of air from the building, which is immediately supplied by fresh air, and produces a thorough ventilation.t (357.) The most extensive application yet made of this principle was that employed by Dr. Reid, for the ventilation of the temporary Houses of Parlia- ment in the year 1836. For this purpose a large * In 1739, Mr. Sutton proposed this plan of ventilation ; but Dr. Desaguliers, in 1723, appears to have adopted a plan somewhat similar for ventilating the House of Commons (Desagulier's Experimental Philosophy, vol. ii., p. 560) ; though in reality the invention of applying fire-heat to produce a draught of air was long prior to either of these dates, and was first proposed by Agricola, in the sixteenth century. (See Chapter III., Part II., Art. 311.) f The quantity of air which would be thus withdrawn from a building by these means may be estimated by what is stated in the Note, Art. 397. OF PRODUCING VENTILATION. 367 chimney was erected, with a furnace of propor- tionate size, and the air was drawn off from the ceilings of the buildings with great rapidity, passing downwards through a tunnel into the bottom of the furnace, and thence through the fire. The quantity of air thus withdrawn is governed by the force of the fire. In this case it was very great, for by means of this furnace the whole air in the House of Commons could be changed in a very few minutes. (358.) The ventilation of the old House of Com- mons was, for many years, a subject of complaint, and it engaged the attention of many practical and scientific men. The apparatus which was erected for this purpose in the temporary House of Commons in the year 1836, appears, however, to have been a most expensive contrivance for accomplishing the object. Dr. Ure has written a useful memoir on the subject of ventilation,* in which he compares the advantages of these two methods; and he esti- mates the relative cost of ventilating by a fan, compared with that by chimney draught, as about 1 to 38. In his calculations on this subject, however, he has apparently been led into an error. His experiments on the consumption of fuel to produce a given effect by chimney draught were all made on furnaces used either for steam- boilers or for brewers' coppers. But, as it could only be the residual heat of the furnace which be- came available in his experiments, after the prin- cipal part of the heat given off by the coal had been absorbed by the boiler, it is certain that any calculation founded on the effect produced in this manner must be considerably below the truth. But although the relative cost of fuel will not be so greatly different as Dr. Ure supposes, under * Proceedings of Royal Society, 16th June, 1836. 368 ON THE VARIOUS METHODS any circumstances the difference between the two methods must be very considerable. (359.) The efficiency of the mechanical method of ventilation by a fan turned by machinery, has been proved so extensively in some of the largest buildings and manufactories in the kingdom, that it might perhaps appear singular Dr. Reid should have adopted so expensive a method of ventilation as that obtained by chimney draught. But the requirements of such buildings as the Houses of Parliament are quite different to all other buildings : and the successive experiments made in the ventila- tion of these buildings for now nearly forty years, appear to result in the conclusion that ventilating by chimney draught, though very much the most expensive, possesses advantages for these particular buildings, hardly obtainable by other means. These experiments, which have been carried on at a cost, as it is supposed, of half-a-million of money, commenced in the year 1836, under Dr. Reid. By his plan large coke fires, burning under an im- mense chimney, were employed to draw out the foul air from the house. This was afterwards com- bined with revolving fans, 30 feet in diameter, driven by steam, for forcing in fresh air, either heated or cooled, according to the season of the year, for supplying the place of the air extracted by the chimney draught. On the retirement of Dr. Reid, about the year 1848, various schemes for the warming and ventilating these buildings were proposed and partially carried out, with- out any very definite results. In 1851, Mr. Goldsworthy Grurney was consulted, and a year or two later he received the appointment for arranging and superintending all the warming and ventila- ting arrangements. Great alterations were then made. The steam jet was now applied for the ventilation, and after considerable trials was given OF PRODUCING VENTILATION. 369 up as unsuitable for the purpose. The warming arrangements were all reconstructed. The venti- lation was changed from an upward to a downward draught, and the windows of the House were made to open which had before been closed. These plans underwent several alterations. The venti- lation by chimney draught was again introduced. Fans for giving motion to the air were again employed; and the heating was effected by high- pressure steam in conjunction with an arrange- ment called "steam batteries," constructed on the same principle as Sylvester's stoves, described Art. 208. After various alterations the present plan was adopted, by which the powerful furnaces with an upcast shaft were used for extracting the foul air from the ceiling. The fresh air, either heated by steam batteries in winter, or cooled by ice in summer, was made to enter through the cast-iron perforated floor covered with a peculiar open matting of whipcord, and also partly forced in by air pumps or bellows worked by steam. The arrangements of Dr. Reid for washing the air by passing it through canvas wetted by fine spray jets, were improved and extended, and the arrange- ments may now be considered as a conbination of all the previous plans which had been separately tried, condemned, and approved, but which in combination appear to accomplish all that can reasonably be expected in such a building. By the present arrangement any degree of warmth; any amount of ventilation ; any degree of moisture or dryness of the air can be produced. Any one of these conditions can be altered in a few moments to almost any extent, and with absolute certainty ; and could the various members of the two Houses only agree as to the temperature, the quantity of air and its degree of moisture, which they prefer, every one of these conditions could be fulfilled by 2 B 370 ON THE VARIOUS METHODS the present apparatus with instant and unfailing precision. This agreement of opinion is never likely to be attained. The different physical con- ditions of the occupants of these buildings, by age, constitution, arid habit, and the ever-varying feeling of excitement, or repose, or exhaustion which they experience, renders it impossible to meet the desires of individuals so variously affected. If satisfaction in this matter could be looked for under such circumstances, it might be found under the present very efficient arrangements carried on under the superintendence of Dr. Percy, and those with whom he is associated. (360.) The Marquis de Chabannes, about the year 1816, extensively applied the other mode of ventilation which has been alluded to, by arti- ficially heating the air by means of stoves, after it has passed through openings in the ceiling. By these means the draught is greatly increased. This plan was applied to several very large buildings, and among others to the old Houses of Parliament. It has been fully described by the Marquis, in a pamphlet published by him in 1818 ; but it appears now to have fallen into disuse. More recently the same principle has been applied by using hot-water apparatus fixed in the roof to heat the air, instead of stoves, and by these means producing a rapid and continuous ventilation. For moderate-sized buildings, where a fan moved by steam power would be unsuitable, this plan of ventilation offers many advantages, and has been used in several very important buildings. The proper dimensions of such an apparatus would be thus calculated : Suppose a room to be ventilated which holds 500 people. By Art. 345 we estimate the quantity of air for each person at ten cubic feet per minute. Five thousand feet of air per minute must thus be abstracted through the OF PRODUCING VENTILATION. 371 ventilators. If we raise the temperature of this air 20 in the heating chamber in the roof by the hot-water apparatus, we shall find by Table IV., Art. 106, that to raise 1000 cubic feet per minute from 50 to 70 (the assumed temperature for the purpose of calculation of the room and of the heating chamber) it will require 86 square feet of heating surface. Therefore 430 square feet of hot- water piping would be required to heat the 5000 cubic feet of air. By Table XXVIIL, Art. 354, it appears that a velocity of 235 feet per minute will be acquired by a difference of 20 Fahrenheit ; therefore an opening of 21 square feet will be re- quired to provide for the escape of 5000 cubic feet of air per minute under the circumstances here assumed. (361.) The mechanical method of ventilation appears to possess many advantages. It is of course only suitable for extensive buildings, on account of the cost of erection and maintenance of the apparatus being too great in any case, except where a large quantity of air is required to be withdrawn. A rotary fan was used as long ago as the year 1734, by Dr. Desaguliers, for ventilating hospitals, prisons, and other buildings ; * though the plan he recommended appears to have been but little used for that purpose. In fact, although the principle was good, it failed in consequence of the trouble attending its use. About the year 1741, Dr. Hales introduced his method of ventilation by bellows; and it was applied in many -cases with great success. Several of the prisons, hospitals, and other buildings of the metropolis, as well as nearly all the ships in the navy, were successfully ventilated by this apparatus, which was extremely simple in its construction and operation.! It con- * Philosophical Transactions, 1735, vol. xxxix., p. 41. f Dr. Hales, " On Ventilators." London, 1743. 2 15 2 372 ON THE VARIOUS METHODS sisted of a large box with valves opening inwards, and other valves opening outwards, which alter- nately admitted and discharged the air, when an in- ternal diaphragm, fixed by leather hinges to the centre of the box, was moved up and down by a handle passing through the upper part of the box. One defect, however, was common both to this appa- ratus and that of Dr. Desaguliers ; they, were both made dependent for their operation on manual labour, and therefore their use was limited both in duration and extent. For, however efficacious the operation might be, the trouble attending it, when the whole effect was produced by manual ex- ertion, rendered it inconvenient, expensive, and un- certain. The extensive introduction of machinery throughout every department of manufactures has again, after a lapse of many- years, brought into use both these methods of ventilating buildings. The ventilating fan of Dr. Desaguliers, with some im- provements suggested by modern discoveries and experiments, is now extensively used in the manu- facturing districts of England ; the fan being turned by the steam power employed in the manufactories. The bellows of Dr. Hales, slightly altered in their form, have also again been recently brought in to use. The late Mr. Oldham, the engineer to thp Bank of England, applied this principle of ventilation, in the year 1838, to a part of that establishment with complete success. This apparatus differs, however, slightly from that of Dr. Hales, particularly in being fitted with a piston instead of a movable diaphragm, which gives it more of the character of a pump, though the difference in its construction is very inconsiderable. In this case also the motive power is steam, the powerful machinery constantly in use at the Bank being employed to work the pump which ventilates the building. Both these methods of ventilating, when thus applied, are OF PRODUCING VENTILATION. 373 unerring in their operation, and appear to accom- plish all that is necessary or desirable on this important subject; for the quantity of air dis- charged can, by both methods, be either increased or diminished at pleasure, by the mere shifting of the band which drives the pulley. (362.) By these methods of ventilation, the rarefaction or diminished pressure of the air can be effectually prevented. In the method adopted at the Bank of England, instead of the vitiated air being drawn from the building by the apparatus, the operation consists in forcing in fresh air, which in cold weather is warmed by passing through a steam chamber; and the vitiated air escapes from the room in consequence of its greater levity ; the quantity which escapes being equal to that which is forced in by the -pump. By this means no diminution of pressure can arise; but, from what has already been stated (Art. 334), it may be questioned whether the small diminution of pressure which occurs under ordinary circumstances is a matter of any importance. (363.) The fans that were used by Dr. Desagu- liers were seven feet in diameter, and one foot wide. They revolved in a concentric case, closed in every part, except an opening at the centre, which com- municated by a pipe with the room to be ventilated, and another pipe at the circumference, by which the foul air that was drawn in at the centre was thrown out with considerable force by the rotating leaves of the fan. This construction, however, has been found objectionable. Considerable loss of power accrues from employing a fan moving concentric with the case, on account of a large quantity of air being carried round by the leaves of the fan, instead of passing out through the discharge-pipe at the circumference. The most advantageous form is when the case is eccentric to the revolving leaves 374 ON THE VARIOUS METHODS of the fan, the discharge-pipe being placed at that part of the circumference of the case where the eccentricity is the greatest ; the air being admitted at the centre in the same manner as before stated. In this form there is comparatively little loss of power; but owing to the inertia of the air, some loss must always occur between the calculated and the actual discharge, the difference being always greater in proportion to the greater speed with which the fan revolves. (364.) The mode of calculating the quantity of air discharged by any mechanical method, as also the power expended in discharging it, is necessary to be known, in order to apportion an apparatus of a proper size to any particular building. Both these subjects have been investigated by Dr. Ure,* who has made various experiments connected with this branch of inquiry. The mean velocity of the portion of the vanes of the fan by which the air is discharged is about seven-eighths of the velocity of the extremities of the leaves ; but, owing to the inertia of the air, there will be a further loss in the velocity of the issuing current, increasing with the greater velocity of the vanes ; so that, under ordinary circumstances, the current will be discharged with a velocity equal to about three-fourths of the velocity of the extremities of the leaves. This velocity, in feet per second multiplied by the area of the discharge-pipe in square feet, will give the number of cubic feet of air discharged per second. To estimate the force necessary to cause the rotation of the fan, the following method of calculation, founded on the ordinary mode of estimating steam * Philosophical Transactions, 1836. See also Peclet, " Traite de la Chaleur," 3rd edition, p. 100 et seq., for some useful calculations on the relative cost of various methods of dis- charging air for ventilating purposes. Also Wyman "On Ventilation," p. 169. OF PRODUCING VENTILATION. 375 power, will be found sufficiently accurate. Suppose the effective velocity of the vanes of the fan to be 70 feet per second, and the sectional area of the eduction tube to be 3 square feet, then 70 x 3 = 210 cubic feet will be the quantity of air discharged per second ; and this number, multiplied by 60, will give the quantity per minute. As a cubic foot of air weighs 527 grains, there will be about 13 cubic feet of air to a pound ; therefore ^1 = 969 Ibs. is the weight of air put in motion per minute with a velocity of 70 feet per second. The height from which a gravitating body must fall in order to acquire a velocity of 70 feet per second is ~ = 76-5 feet, which, multiplied by the number of pounds weight moved per minute, will give the power necessary to be expended in order to discharge this quantity of air at the stated velocity; and this product divided by 33,000 (the number of pounds weight that one horse will raise one foot high per minute) will give the amount of steam power required. Therefore '-^ = 2 24, or nearly 2 horses' power, will be necessary to discharge the given quantity of air at the velocity stated. The quantity of air discharged by bellows is easily calculated. The cubic contents of the box (or that portion of it which is filled and emptied at each alternation of the handle), multiplied by the number of strokes per minute, will, of course, give the quantity of air discharged ; making such deduction from this amount as may be necessary for imperfect fitting of the diaphragm. The ven- tilating pump differs from the bellows simply in- making the whole diaphragm move up and down, instead of one end being fixed. The force re- quisite for discharging the same quantity of air by either of these methods is the same as with a fan. For, suppose a ventilating pump three feet 376 OX THE VARIOUS METHODS square and five feet high, and that the piston makes 25 double strokes per minute, each four and a half feet long; in this case 2025 cubic feet of air per minute will be discharged ; and if the valve for its discharge be 10 inches square, the velocity of its discharge will be equal to 48 6 feet per second. This quantity of air reduced into weight will be ^ = 155 Ibs., put into motion every minute at the rate 'of 48 6 feet per second ; and therefore we shall have ~ = 36 -9 feet, as the height from which a gravitating body must fall to obtain the velocity of 48 '6 feet per second; and - = 17, or one-sixth of a horse's power, as the 155 X 36-9 33,000 necessary force to discharge this quantity of air at the stated velocity. (365.) The Archimedean screw has repeatedly been proposed for the ventilation of buildings, and its application to this purpose has been more than once the subject of a patent. In comparison with a fan, it appears to be every way inferior; for neither in quantity nor in velocity can it at all approach the performance of the fan in discharging air from buildings. By the fan almost any velocity of the discharged current may be obtained ; but not so by the Archimedean screw. The friction between the air and the threads or spirals of the revolving screw must be the power which produces the discharge ; but so soon as the pressure or conden- sation of the air between the spirals equals the friction existing between the air and the surface of the spirals, any further increase in the amount of the discharge ceases ; and the screw might revolve with any increased velocity without increasing the quantity of air discharged, and a loss of power in turning the screw would then necessarily occur. The plan, however, has been used with some success in large manufactories in Leeds and elsewhere, OF PRODUCING VENTILATION. 377 where an abundance of steam power is alwa} 7 s in operation. (366*.) In the year 1873, a patent was obtained by Mr. Tobin of Leeds, for a mode of ventilation which excited much attention, and a Joint Stock Company was formed to carry out the invention on an extensive scale. The plan was to introduce cold fresh air through tubes, tunnels, or drains, under the floors of rooms, and thence by means of upright or vertical pipes, placed at the corners of the room, or elsewhere, to give the air an upward direction, through open pipes, of from four to six feet in height. It was assumed that this method would produce ventilation without draught, but this assumption was a perfect fallacy. It was, more- over, discovered that this same invention had been extensively tried more than 90 years previously, and a full description of it published in 1794, taken from the. papers of Mr. John Whitehurst, F.R.S., who died in 1788, who several years before his death had applied the plan in question to various buildings. The patent of Mr. Tobin is described almost in the identical words of Mr. Whitehurst; and both the legal validity of the patent and the plan itself appear to be equally worthless. In cold windy weather the draughts become intolerable ; and in warm and still weather, when ventilation is most needed, no effect whatever is produced. The principle, as applied by Mr. Tobin, is founded on a fallacy, which, however excusable in 1780, when first used by Mr. Whitehurst, is utterly unsuited either to the requirements or to the know- ledge of the present day. The fallacy of the plan consists in supposing that perfectly cold external air can be introduced into rooms in this way without causing cold currents; but when the air is heated before admission into the room to be ventilated, this mode of introducing fresh air possesses advantages in many cases. 378 ON THE VARIOUS METHODS (367*.) More than twenty years before Mr. Tobin revived this invention of Mr. Whitehurst, a much more judicious plan for bringing in warmed air through upright ducts or channels above the heads of the occupants of a room, had been successfully employed. In one of the courts of the Old Bailey Sessions House in London, the ventilation was obtained by setting the panelling of the court about six inches off from the wall for about seven or eight feet in height. Through this large channel, extending almost round the court, a large volume of air was forced into the court, and having an upward motion given to it, by the position of the channel, no inconvenient draught was experienced. (368*.) This plan of ventilating, though pos- sessing much to recommend it, is not absolutely perfect. It requires, in addition, that a further supply of air be brought in at a lower level. When this is not done the air nearer the floor is not in so fresh a state as it ought to be; and it requires, therefore, for perfect ventilation, that a portion of air should enter near the floor as well as at the higher level already described. By heating the air before it enters the room to be ventilated, the motive power of the wind is almost entirely lost. Some other motive power is therefore necessary when any considerable quantity of air is required. In the Old Bailey Court House, the air is set in motion by a large fan. And either by mechanical means, or by exhaustion by heat by some of the methods previously described, a sufficient motive power must be applied to produce a current varying from sixty to one hundred feet per minute. A greater velocity than this produces a very sensible and unpleasant draught. (369*.) Very extensive use has at various times been made of ventilating cowls, similar in principle to those used for increasing the draught of smoky OF PRODUCING VENTILATION. 379 chimneys. These cowls are extremely useful in many cases, but they are limited in their effects ; and they depend altogether on the action of the wind, their effects being scarcely appreciable in still and warm weather when ventilation is most required. (370*.) Cowls of almost every imaginable variety of form have been invented. They all owe their efficacy to one general law belonging to all aeriform fluids, that a current moving in any direction at a high velocity, readily imparts its own velocity to another current moving at a lower velocity in the same or nearly the same direction. This peculiar property of fluids, both liquid and aeriform, to communicate motion to other similar bodies, not in immediate contact with them, may be illustrated as follows : Suppose a pipe several feet in length, and of considerable diameter say for example twelve or fourteen inches and open, at both ends. Let there be also a small pipe, of about one inch diameter, inserted into one end of the large pipe for a short distance, and let there be a current of air or steam forced through the small pipe with considerable velocity. The action of this current of air or steam will be such, that it will continue its course after leaving the small pipe for a very considerable distance along the large pipe, at its original velocity, and with scarcely any lateral ex- pansion ; and it will communicate its own velocity to a very great body of air in the large pipe, which will thus have a current produced in it of consider- able intensity. The distance to which the current passing along the small pipe will proceed without losing its velocity and mixing with the aeriform fluid contained in the large pipe, will depend upon the initial velocity which is given to it ; but this distance is considerable, and the quantity of air is very great which may be put in motion in the large 380 ON THE VARIOUS METHODS pipe, by an extremely small jet of air in the small pipe. The currents and eddies of many rivers and lakes have their origin in this cause. The draught caused in the chimneys of locomotive engines by a jet of steam, the action of all chimney cowls, and other of the phenomena which occasionally present themselves in practical science, are due to this fact. In the case of chimney cowls the effect is very re- markable. Whatever efficacy any chimney cowl really possesses arises from this cause ; though very few of the contrivers of these machines are aware of the fact. Some interesting experiments on the action of cowls, by Mr. Ewbank, are in- structive on this point.* The figures 54 to 62 are some of the forms on which he experimented. His models were made of glass, and a strong blast of air was made to blow equally on them all. The lower ends of the models were all made to dip into a trough of water, and the height to which the water rose in the stem of the model, showed the relative effect produced by each different form. The annexed cuts show the models in the pro- gressive order of their efficiency, namely * See EwbanVs Hydraulics, New York, 1854; Franklin Journal of Pennsylvania; Mechanic's Magazine, vol. xxxvii., p. 372 ; and Wyman on Ventilation, Boston, 1846. OF PRODUCING VENTILATION. 381 No. of Figure Height to which ) the water rose, > in inches. J 54 55 56 57 58 59 60 61 62 21 2* H *b i H 8 15 18 In the case of fig. 54, the blast was made to act in direct line with the outlet ; but when the blast acted at an angle of 45 degrees with this direction, the water rose 3^ inches ; and when it acted at an angle of 90 degrees, the water rose only 21 inches. The other forms, acted on by the same blast, caused the water to rise to the heights stated against each. This height of water may fairly be assumed as the relative exhausting power of these different forms of cowls, when acted upon by a strong blast. It is, however, considered that in such forms as those of Nos. 58 and 62, the effect is best secured by bringing the small blow-pipe tube beyond the vertical junction of the main tube, as otherwise it is liable to blow downwards. (371*.) There are many other forms of venti- lating and smoke cowls which possess considerable advantages, some being more suited for smoke and some being only fit for ventilation, by reason of the difficulty of freeing them from deposits of soot. Except for this latter objection, whatever form is best for one purpose would be equally advantageous for the other. Hawkesley's Patent Cowl, fig. 63, is an extremely useful apparatus, and so also is the Funnel, or Cowl, fig. 64, known as the Himalaya funnel. Both these owe their effective action to the well-known principle that the wind is deflected at the same angle at which it strikes any object. In both these last shown figures, this deflection is produced, upwards, by the wind striking against surfaces fixed at angles of about 45 from a hori- zontal line. In figure 63 the striking surfaces are 382 ON THE VARIOUS METHODS slightly curved, which is supposed to give a still further advantage to the upward current. Another patented invention for this purpose is Carson's Ventilator,* which has been extensively used. It is precisely similar in principle to the "Blow Pipe Ventilators," shown figures 58 and 62. It is almost one of the best forms of those venti- lators which turn round on a centre with the wind. In all forms of revolving cowls increased steadiness and certainty of action is produced by making the acting portion of the vane double, and so placed that the heavy end of the vane or director shall form a figure like the capital letter Y, the diver- gence between the two members being about 30. In a somewhat recently patented invention by Boyle and Son, of Glasgow, a ventilator is employed which is divided vertically into four parts. The action arises from the wind striking on a number of inclined surfaces fixed vertically and forming an external circumference of many narrow inclined surfaces surrounding the centre tube which carries off the air from the room to be ventilated. These inclined surfaces stand off from the main ventilating tube some two or three or more inches. The effective action in this ventilator is due to the wind being driven against the inclined surfaces of one of the sides of the ventilator; and as the pressure of the wind will then be a plenum on this side, while one of the other sides will be a vacuum, the foul air of the room will be withdrawn through the inner tube with a corresponding velocity to that of the external current. The action of this ventilator is precisely the same as that of the Himalaya funnel, or of Carson's, Hawkesley's, and other ventilators already described. They are all subject to the same laws, and are all dependent on the action of the wind to produce any effect what- * See Repertory of Arts, vol. xv. (1841), p. 71. OF PRODUCING VENTILATION. 383 ever. In still weather no effect is produced by any of these ventilators beyond what would result from merely cutting a hole through the roof or ceiling of equal size. (372*.) Such modes of ventilating as have been here described may be useful where only compara- tively small quantities of air are required to be changed. They are all of them utterly inefficient in calm and warm weather. Where very large numbers of persons are congregated together, and consequently a large supply of fresh air becomes absolutely indispensable, no plan of spontaneous ventilation is sufficient. The several plans de- scribed in the early part of this chapter are alone to be relied on for this purpose. They may be classed under three heads. Either by mechanically forcing in, or sucking out, air by means of fans, bellows, or pumps ; or by heating the air in a false roof or chamber above the room to be ventilated ; or by drawing the foul air either upwards or downwards through a large furnace, in the manner used by Dr. Reid in the Houses of Parliament. Which of these plans may be most suitable must depend upon the character and size of the building in which it is to be applied. (366.) Considering the great importance of ven- tilation, it is much to be regretted that so little attention has generally been devoted to the sub- ject by scientific men. The treatises which have been written upon it are extremely few, and those generally but too indefinite and inconclusive. In the year 1835, a Committee of the House of Commons was appointed to report upon the best plan of ventilating the Houses of Parliament ; but the various scientific men who were then ex- amined were unable to point out any public building of which the ventilation was at- all deserving of the consideration of the Committee, 384 ON THE VARIOUS METHODS as a model for adoption. In fact, it is not merely the method but the amount of ventilation which is desirable, that appears to have been hitherto unascertained. When Sir Humphry Davy ven- tilated the House of Lords, in 1811, he used a pipe only one foot diameter to convey away the foul air. In 1813, this was increased to three feet diameter; an alteration which allowed nine times the quantity of air to escape ; but even this was found quite insufficient for the purpose. And the various experiments of Watt, Bumford, Davy, Chabannes, and others, in ventilating various public buildings, prove that their methods were inadequate for the purpose, notwithstanding their plans might be considered as improvements upon preceding arrangements. The subject of ventila- tion has now, however, attracted more of public attention ; and we may therefore hope that this important means of improving the public health will henceforth be more fully considered, and that the time may come when architects will consider it as great a defect to neglect providing the means for the admission and discharge of the air required for ventilation, as they would to omit the doors and windows of the buildings they are called upon to design and erect. The vast import- ance of ventilation was most forcibly demonstrated by the evidence taken before the Committee of the House of Commons on the Health of Towns, in the year 1840. Scrofulous diseases are stated by the medical witnesses to be the result of bad venti- lation; and that in the case of silk weavers, who pass their lives in a more close and confined air than almost any other class of persons, their children are peculiarly subject to scrofula and softening of the bones.* Most of the witnesses state that a deterioration of the race undoubtedly occurs among * " Keport on the Health of Towns," pp. 18 and 201. ON PRODUCING VENTILATION. 385 those classes most exposed to defective ventilation ; and they consider that bad air deadens both the mental and bodily energies.* The statement of some of the diseases produced by bad air is abso- lutely sickening ; and presents the consequences of violating the physical laws, in a point of view, which will scarcely find a parallel^ These are undoubtedly extreme cases ; but although the ordinary effects of defective ventilation are less marked, it is certain that no violation of the physi- cal and organic laws, however slight, can possibly be allowed without the consequences becoming- apparent in the deteriorated health of those who violate them ; and it will be well when this fact is as universally acted upon, as it is generally assented to. * Ibid., pp. 54 and 201. t Ibid, Mr. Walker's Evidence, p. 211, et seq. 2 c 38G CHAPTER Y. OX THE THEORY OF GASEOUS EFFLUX.* (3t)7.) IN the preceding chapter the theoretical determination of the flowing of air and other gases through apertures has been given, and its utility in calculating the proper size of ventilators pointed out : it will here be desirable to show the grounds for believing that this theory truly represents the case with the accuracy required for determining a physical law. (368.) The theoretical determination of the velocity with which gaseous fluids are discharged through tubes and apertures under pressure has often been submitted to mathematical investiga- tion ; and the subject being of importance in various branches of practical science, it is to be regretted that considerable differences exist in the results of the several formulas which have been propounded for its elucidation. Dr. Papin,f in 1686, first showed that the efflux of all fluids follows a general law ; and that the velocities are * This chapter contains the paper by the author which was read before the Institution of Civil Engineers, May 1840, ' On the Efflux of Gaseous Fluids under Pressure." Since it was written, anemometers for registering the velocity of aerial currents have been greatly improved, and as now con- structed they afford an easy mode of measuring the velocity of aeriform fluids with very considerable accuracy. f Philosophical Transactions, 1686. OX THE THEORY OF GASEOUS EFFLUX. 387 inversely as the square roots of the specific gra- vities. Dr. Gregory has likewise given various formulae for calculating the velocities of air in motion under different circumstances; and Mr. Davies Gilbert, Mr. Sylvester, Mr. Tredgold, and many other writers of equal authority, have also investigated the subject. (369.) The hydrodynamic law of spouting fluids has by all writers been applied in the calculations for the determination of this question. This law, it is well known, is the same as that of the acce- lerating velocity of falling bodies; and is propor- tional to the square root of the height of the superincumbent column of homogeneous fluid. But, although the various writers all agree in this fundamental principle, they differ materially in the mode of applying it, and the several corrections introduced in their theorems; and the results they have arrived at are of a very contradictory character. (370.) Dr. Gregory's formulae for calculating the velocity with which air of the natural density will rush into a place containing rarer air, is based upon the velocity with which air flows into a vacuum. This is equal to the velocity a heavy body would acquire by falling freely from a height equal to that which a homogeneous atmosphere would have whose weight is equal to thirty inches of mercury. The height of this homogeneous atmosphere is 27,818 feet: and the velocity which a body would acquire by falling from this height (and consequently the velocity with which air will flow into a vacuum) is V/ (27,818 x 64-36) = 1339 feet per second. The density of the rarefied air divided by the density of the natural atmosphere, and this number subtracted from unity, represents the force which produces motion ; and the square root of this number multiplied by 1339 feet (the velocity with 2 c 2 388 OX THE THEORY which air rushes into a vacuum) is the velocity with which the atmosphere will rush into any place containing rarer air.* (371.) The method employed by Mr. Davies Gilbert is also based upon the velocity with which air rushes into a vacuum, when pressed by a homo- geneous atmosphere equal to the weight of the natural atmosphere at the earth's surface. This supposed homogeneous atmosphere is, according to Mr. Davies Gilbert's calculation, 26,058 feet: and the velocity with which air would rush into a vacuum when pressed by this weight, will be v/ (26,058) x 8 = 1295 feet per second. When this calculation is applied to two columns of air of un- equal density as for instance, the discharge of air through a chimney-shaft the height of the heated column of air divided by the height of this homogeneous atmosphere, and the square root of this number multiplied by the velocity with which air flows into a vacuum, and this product again multiplied by the square root of the number repre- senting the expansion of the heated air, will give the velocity in feet per second. The expansion of air when heated is found (by Mr. Gilbert's method) by raising the decimal 1*002083 (which represents a volume of air expanded by one degree of Fahrenheit) to the power whose index is the number of degrees which the temperature of the air is raised; or it is equal to the fraction gl|" n being the number of degrees of Fahrenheit which the temperature of the ascending column exceeds that of the external atmosphere. f (372.) Mr. Sylvester's method of calculation pro- ceeds upon the supposition that the respective columns of light and heavy air represent two un- * Gregory's " Mechanics," vol. i., p. 515. f Quarterly Journal of Science, vol. xiii., p. 113. OF GASEOUS EFFLUX. 389 equal weights suspended by a cord hanging over a pulley; and this mode of calculation gives a result very much less than by any other method. The unequal weight of two columns of air is found by Mr. Sylvester nearly in the same manner as by Mr. Gilbert. The volume of air expanded by one degree of heat is equal to 1 00208 ; and this number, when raised to the power whose index is the excess of temperature of the heated column, gives the expanded volume of the air ; and assum- ing the atmospheric density to be unity, we have 1 - (p^i) 6 = d ; e being the excess of temperature of the heated column, and d the difference of density between the two columns. This difference of density multiplied by eight times the square root of the height of the tube or shaft containing the heated air, gives the velocity in feet per second.* (373.) In Mr. Tredgold's theorem for calculating the efflux of air, the force which produces motion is assumed to be the difference in weight of a column of external and one of internal air, when the bases and heights are the same. The difference of temperature of the two columns by Fahrenheit's scale, divided by the constant number 450 plus the temperature of the heated column, and this quotient, multiplied by the height of the tube or shaft, gives the difference in weight. Then by the common theorem for falling bodies, eight times the square root of this number will give the velocity in feet per second ; or, accurately, V = v/ ^Lo+T^ ^ being the height of the tube, t the temperature of the internal, and x the temperature of the external air.f (374.) The method of calculation proposed by Montgolfier appears, however, by recent experiments to be the most accurate, as it is also the most simple * Annals of Philosophy, vol. xix., p. 408. t Tredgold, " On Warming Buildings," p. 76. 390 OX THE THEORY of all the modes of determining this question. The difference in height must be ascertained which two columns of air would assume when the one is heated to the given temperature, the other being the tem- perature of the external air ; and the rate of efflux is equal to the velocity that a heavy body would acquire by falling freely through this difference of height. The space which a gravitating body will pass through in one second, we know to be 16*09 feet; but, by the principle of accelerating forces, the velocity of a falling body at the end of any given time is equal to twice the space through which it has passed in that time ; or the velocity is equal to the square root of the height of the fall, multiplied by the square root of 64*36 feet ; or, again, to the spuare root of the number obtained by multiplying 64-36 feet by the height of the fall in feet When the vis viva is the difference in weight be- tween two columns of air, caused by the expansion of one of these columns by heat, the decimal 00208, which represents the expansion of air by one degree of Fahrenheit, must be multiplied by the number of degrees the temperature is raised, and this product again by the height of the heated column. Thus, if the height of the column is 50 feet, and the increase of temperature 20, we shall have 20 x -00208x50 =2 -08 feet; or 52-08 feet of hot air will balance 50 feet of the cold air, and the velocity of efflux of the heated column when pressed by the greater weight of the colder column will be equal to ^(2*08 x 64) = 11*55 feet per second.* * This mode of calculation supposes an equal expansion of air by equal increments of temperature, which is generally assumed to be true at all moderate differences of temperature. There can, however, be but little doubt that air expands more, proportionately, at high temperatures than at low ones, for equal increments of heat ; but, as all other bodies expand even OP GASEOUS EFFLUX. 391 The efflux of air under any given pressure can also be calculated by the same means ; for the pressure being known, it is only necessary to cal- culate the height of a column of air which would be equal in weight to this pressure. Thus, if the pressure be equal to one inch of mercury, water is 827 times the weight of air, and mercury 13-5 times the weight of water; therefore, 827 x 13 '5 = 11164 inches, or 930*3 feet; and according to the preceding formula ^(930 '3 x 64) = 244 feet per second for the velocity of efflux under this pressure of one inch of mercury. (375.) In all these cases the velocity thus ascer- tained is independent of any loss by friction ; a certain deduction must be made for this loss, which will vary greatty, according to the nature and size of the tube or shaft through which the air passes, as well as with the velocity of the air. Like all other fluids, the retardation of the air by friction, in passing through straight tubes of any kind, will be directly as the length of the tube and the square of the velocity, and inversely as the diameter. This question, however, becomes very compli- cated under these circumstances, and particularly so when there are angular turns in the tube through which the air passes. The present state of our knowledge on this subject does not allow of any very accurate determination of the amount which more irregularly than air, we possess no means of measuring this deviation from regular expansion. Mr. Davies Gilbert's and Mr. Sylvester's mode of calculating the expansion of air already given, supposes a very considerable increase in the rate of expansion, and the following formula is used by Dr. Gregory : The expansion of air for 180 is '376 ; therefore, any other temperature will be (1 376) T ^ x (1 ' 376)* = (1 0018) X (1-376) 1 = V ; x being the temperature required, and V the volume of the air at this increased temperature (Gregory's " Mechanics," vol. i., p. 486). This mode of calculation gives a less expansion than that of Mr. Gilbert. 392 ON THE THEORY ought to be deducted for friction from the initial velocity obtained by calculation ; and it is only by empirical means we can arrive at an estimate of its amount. (376.) We shall proceed now to ascertain how far these theoretical calculations agree with the results obtained loy experiments. In some new furnaces which Sir John Guest has lately added to his extensive ironworks at Dowlais, some experiments have been made on the quantity of blast injected into the furnaces. In these experiments, the machinery employed being new and of the best construction, the loss occasioned by the escape of air through imper- fections of the apparatus, was, perhaps, as small as possible. The engine for blowing the furnaces made, at the time of the experiments, 18 double strokes per minute. The diameter of the blowing cylinder was 100 inches, and the effective length of the stroke seven feet six inches. From these dimensions, therefore, it appears that 14,726 cubic feet of air was taken into the blowing cylinder per minute ; and the tubes through which it was discharged from the receiver were six of four inches diameter, and six of one and a quarter inch diameter; the area of all these tubes was therefore 5747 of a square foot, and the pressure of the blast, measured by a mercurial gauge, was equal to four and a half inches of mercury. Cal- culating by the formula already given, we shall have v/ (827 x 13-58 x 4-5 + 12 x 64)= 519-2 feet, which is the velocity per second ; and this number multiplied by 60, and then by the area of the tubes, will give 519 -2 x 60 x '5747 = 17,903 cubic feet of air discharged per minute. From this amount some deduction must be made for friction. The velocity of the discharged air is 354 miles per hour; and with this immense ve- OF GASEOUS EFFLUX. 393 locity, and through such small pipes, the friction is no doubt considerable. By deducting 18 per cent, from the calculated amount of 17,903 cubic feet, we shall have 14,681 cubic feet, which agrees within a fraction (namely, 45 feet) with the quan- tity obtained by measurement. (377.) In other experiments made at the same place, the following were the results: The quan- tity of air which entered the blowing cylinder was the same as before, namely, 14,726 cubic feet; the total area of the tubes which discharged the blast was -5502 of a square foot, and the pressure of the blast was equal to four inches of mercury. The calculation, therefore, will be ^ (827 x 13*58 x 4 -T- 12 x 64) = 489-5 feet per second: and therefore 489 '5 x 60 x '5502 = 16,159 cubic feet discharged per minute. The velocity of the blast in this case was 333 miles per hour, and if we deduct for friction nine per cent, from the calcu- lated amount, the remainder is exactly the quan- tity of air which is ascertained by experiments to be discharged through the tubes. (378.) In a work published in 1834 by Mr. Dufreno}% being a Report to the Director-General of Mines in France on the use of the Hot-Blast in the Manufacture of Iron in England, the results are given of many similar experiments to the above; but with two exceptions, the details are not sufficiently ample to found any calculations upon. The two exceptions named are the furnaces at the Clyde, and at the Butterley Iron Works, when they were blown with cold air. Both these blowing machines are described as having been in use for several years ; and it is therefore natural to suppose the various parts were more worn and fitted less accurately than in those experiments already described. The experiments were also made with less care. They show a different result 394 OX THE THEORY to those already detailed ; as in these the calculated quantity of air appears to be less than the quantity which entered the blowing cylinders, in about the same proportion as it exceeded it in the former cases. This difference, no doubt, arises from the imperfect fitting of the piston of the blowing cylin- der, which by allowing a portion of air to escape, would diminish the apparent pressure on the mer- curial gauge placed at the further extremity of the apparatus, and hence the calculated rate of efflux would of course be diminished. (379.) In the experiments at the Clyde works the quantity of air which was discharged into the furnaces, when estimated by the quantity that entered the blowing cylinder, was 2827 cubic feet per minute. The pressure of the blast was equal to six inches of mercury, and the area of the tubes 0681 of a cubic foot. Calculating the discharge of air under this pressure, it amounts to 2450 cubic feet, being 13 per cent, less than the measured amount, supposing no loss to occur by imperfect fitting of the apparatus. (380.) At the Butterley works, the quantity of air discharged into the furnace, estimated by the contents of the cylinder, was 2500 cubic feet per minute. The pressure of the blast was equal to five inches of mercury, and the area of the tubes 0681 of a cubic foot. The quantity, by calcula- tion, appears to be 2235 cubic feet, being less by 10J per cent, than that shown by experiment. In both these last cases, however, there is but little doubt that the loss of air from the cylinder caused the pressure on the mercurial gauge to be less than it would have been had the apparatus been per- fectly tight; and a very small diminution in the observed height of the mercury would account for a much greater difference in the velocity of efflux than is here shown. OF GASEOUS EFFLUX. 395 We are fully warranted in the conclusion from these experiments, that this method of calculation is as accurate as any theoretical determination of such a question can be ; but, from the results so obtained, an allowance must always be made for friction, which will necessarily vary with the peculiar circumstances of each case. The following Table will exhibit the results of the preceding experiments at one view : TABLE XXIX. Place and Number of Experiment. Dowlais, No. 1 No. 2 Clyde, No. 3 Butterley, No. 4 * 4-5 4-0 60 5-0 Daniells. Do. American 85-98 4-62 9-4 1-518 * Philosophical Magazine, vol. xxxii., p. 140. The author has recently increased this list by some hundreds of analyses of different coals, and published the results in his " Papers on Iron and Steel." | Annals of Philosophy, vol. xiv., p. 81 ; and vol. xv., p. 394. J Ibid, vol. xxvii., p. 104. In this analysis the volatile matter is considered to be entirely composed of water. 2 D 402 COMBUSTION OF COAL which have been published, with the exception of those by Kirwan, were made by Mr. Mushet : they are given in the preceding Table, together with several other more recent analyses by different experimentalists. These analyses show the very great difference which exists in the composition of the various descriptions of coal. This difference not only exists between the several species of coal, but likewise in TABLE XXXII. Name of Coal. Carbon. Hydro- gen. Azote. Oxygen. Specific Gravity. Authority. Caking Coal .. .. Splint Coal Cherry Coal .. .. 75-28 75-00 74-45 4-18 6-25 12-40 15-96 6-25 10-22 4-58 12-50 2-93 1-269 1-290 1-265 IDr. Thomson.* CannelCoal .. .. 64-72 21-56 13-72 o-o 1-272 Splint Coal Cannel Coal .. .. 70-90 72-22 4-30 3-93 o-o 2-8 24-80 21-05 1-266 1-228 \ Dr. Ure.f Oxygen & Azote. Ashes. Splint Coal, Wylam . . 74-823 6-180 5-085 13-912 V Ditto, Glasgow .. .. 82-924 5-491 10-457 1-128 I Cannel Coal, Lancas. 83-753 5-660 8-039 2-548 Ditto, Edinburgh Cherry Coal, Newcas. 67-597 84-846 5-405 5-048 12-432 8-430 14-566 1-676 > Richardson.* Ditto, Glasgow .. .. Caking Coal, Newcas. 81-204 87-952 5-452 5-239 11-923 5-416 1-421 1-393 J Ditto, Durham .. 83-274 5-171 9-036 2-519 i" Anthracite, Wales . . Ditto, Pennsylvania . . 92-56 90-45 3-33 2-43 2-53 2-45 1-58 4-67 Eegnault. Ditto, Meyenn .. .. 91-98 3-92 3-16 0-94 . Ditto, Eoldue .. .. 91-45 4-18 2-12 2-25 Ditto, Wales .. .. Ditto, Pembrokeshire 89-43 92-43 3-56 3-37 3-95 2-49 1-70 1-73 Jacquelain.|| Schafhaeutl.l * Annals of Philosophy, vol. xiv., p. 95. f " Chemical Dictionary," Art. " Coal." t London and Edinburgh Philosophical Magazine, vol. xiii., p. 131. Annales de Chimie, vol. Ixvi., p. 337. || London and Edinburgh Philosophical Magazine, vol. xvii., p. 213. In this analysis the coal contained 1'36 per cent, of water. f Ibid., p. 215. In the ashes of this analysis 12 per cent, is sulphur. COMBUSTION OF COAL. 403 the different specimens of the same species obtained from different localities. This is particularly the case with the anthracite coal, which passes through every stage of difference, from nearly a pure carbon, down to the state of ordinary bituminous coal. (386.) A more intimate knowledge of the nature of coal was obtained by Dr. Thomson's analyses, before alluded to, by which the exact constituents of the volatile matter were ascertained. The pre- ceding Table gives these analyses, together with the results obtained by other chemists in determining the nature of the gaseous products obtained from coal. By comparing together the resultsof Dr. Thomson's analyses, given in the preceding Tables, we shall see how greatly the nature of the volatile matter con- tained in any specimen of coal affects the resulting quantity of coke. By Table XXXII. it appears that the aggregate quantity of the gaseous products of caking, splint, and cherry coal, are very nearly similar ; while by Table XXXI. we perceive that the quantity of coke obtainable from these several species varies more than 45 per cent. This, however, can readily be accounted for, when we ascertain the nature of the gas which predominates in each species : for, where hydrogen and oxygen abound, a large quantity of carburetted hydrogen and carbonic oxide is formed, at the expense of a certain propor- tion of the carbon ; while in such specimens as contain azote in the largest proportion, a far smaller loss of the carbonaceous portion of the coal is sustained. (387.) Of all the volatile constituents of coal, the azote is that which quits it with the greatest difficulty. Professor Proust* considers that coal always contains azote, even when reduced to coke ; for when coke is treated with potass, a prussic * Nicholson's Journal, vol. xviii., pp. 166 and 173. 2 D 2 404 COMBUSTION OP COAL. lixivium is always obtained ; and the same he even found to be the case with anthracite coal. The prussic radical is a compound of azote and carbon ; and it may be a question whether any part of the difference which is known to exist in the heating power of " oven coke " and " retort coke," is owing in the former case to the presence of a larger portion of nitrogen. Some of the prussic compounds are very inflammable, and may therefore be supposed to produce some calorific effect by their presence. Sulphur, which is another substance retained with the greatest pertinacity by coal, exists in nearly all the species in a greater or less degree. It is, perhaps, the only one of the constituents which, according to our present knowledge, is wholly valueless. Its injurious tendency is not more remarkable than the tenacity with which the coal retains it. Generally it exists in combination with iron, in the form of pyrites. In the process of coking a portion of the sulphur escapes in the state of sulphuretted hydrogen gas ; but no degree of heat is sufficient to drive off the whole of the sulphur; and many beds of coal are rendered almost useless in consequence of the large quantity of sulphur which the coal contains, preventing its use in metallurgy and many other processes in the arts. The presence of sulphur, indeed, is generally more perceptible in coke than in coal : the mass of volatile matter which escapes from the latter dis- guises the presence of the sulphur in a great degree ; while, with coke, the fumes of sulphurous acid are generally very perceptible. No mode, practically applicable, has yet been discovered for freeing coal from the sulphur it contains. By treating it with nitric acid the pyrites are dissolved, and the sulphur and the iron may be washed out ; but the coal is converted by the operation into a bulky coke, and is entirely changed in its character, and ceases to COMBUSTION OF COAL. 405 afford the same gaseous products as before.* It is probable that some kinds of anthracite coal are nearly free from the presence of sulphur; and, indeed, several kinds afford no evidence of its ex- istence. (388.) The application of coal to the purposes of fuel depends like that of all other combustible bodies, on the chemical change which it undergoes in uniting by the agency of heat with some body for which it possesses a powerful affinity. In all ordinary cases this effect is produced by its union with oxygen; and we shall therefore inquire into the modes of effecting this in the best manner. When coal is entirely consumed, the carbon is wholly converted into carbonic acid gas, and the hydrogen into water the latter being in the state of vapour. The air supplies the necessary oxygen for this purpose ; and in this state the products of the combustion are nearly or quite invisible, both the products being colourless fluids. Smoke, there- fore, is always the result of imperfect combustion. (389.) It has generally been considered that when coal is perfectly coked, the residuary coke will produce as much heat when applied as a fuel as the original quantity of coal would have done from which it was produced. This of course can only be taken in a general sense; because much must depend upon the method of coking and the prevention of waste, as well as the extent to which the process of coking has been carried. Many experiments confirmatory of this general view of the relative values of coal and coke have been made ; the most recent are those of Mr. Apsley Pellat, Mr. Parkes, and the Count de Pambour. But it should be observed that in the residuary coke from the process of gas-making, the peculiar mode of carbonization lessens its heating power to * Nicholsons Journal, vol. xviii., p. 170. 406 COMBUSTION OF COAL. a considerable extent ; and it is principally to what is known as " oven-made coke " that this remark will therefore apply. We have the clearest evidence from the fact of the great difference in the heating powers of equal weights of coal and of coke, that the waste must be very great in the usual modes of burning coal. We know that a large proportion of the gaseous pro- ducts of coal which we have already seen consti- tute on a rough average about one-fourth of its total weight consists of matter which is capable of producing the most intense heat : and yet we find, practically, that its effect in furnaces is abso- lutely negative. This can arise only from some imperfection in our methods of combustion ; and we may obtain a tolerably accurate notion of the extent of the loss thus sustained, by a reference to the analyses of coal already given. Let us take as an example the caking coal, according to Dr. Thomson's analysis in Table XXXII. which is the Newcastle coal so generally used. We find that in every 100 Ibs. of coal there are contained 4*18 Ibs. of hydrogen, and 4' 58 Ibs. of oxygen. When these gaseous products are driven off by heat, they will both combine with a portion of carbon. The quan- tity of carbon which combines with the hydrogen is very variable; differing with the degree of heat to which it is exposed. When the tempera- ture is very high the hydrogen will combine with three times its weight of carbon, forming the true carburetted hydrogen; but, from a coke oven, a large portion of the hydrogen escapes nearly in an uncombined state, and therefore the quantity of carbon thus abstracted will be only about one-half the quantity which would con- stitute true carburetted hydrogen ; or about 6 Ibs. of carbon may be assumed as the quantity carried off in the latter case. Dr. Dalton ascertained that COMBUSTION OF COAL. 407 the combustion of 1 Ib. of hydrogen would melt 320 Ibs. of ice; therefore, 4 '18 Ibs. would melt 1337 Ibs. of ice ; and the heat produced by 6 Ibs. of carbon will be sufficient to melt 376 Ibs, of ice, according to the average of the experiments of Watt, Rumford, and Black.* The 4*58 Ibs. of oxygen contained in the coal will combine with 3 * 5 Ibs. of carbon, and form 8'08 Ibs. of carbonic oxide. According to Dr. Dalton, 1 Ib. of this gas will melt 25 Ibs. of ice ; therefore 8 '08 Ibs. will melt 202 Ibs. of ice. These results amount together to 1915 Ibs. of ice melted by the heat obtainable from these several substances ; which number, multiplied by 140 degrees, the la- tent heat of ice, and this product divided by 7020, the number of pounds weight of water which can be raised 1 degree by the combustion of 1 Ib. of coal, we shall find the total heat of these several gaseous products are equal to the calorific effects of 38 Ibs. of coal. It is not known whether the azote which the coal contains produces any heating effect ; nor will the heat necessary for its expulsion from the coal cause any loss which is appreciable, even if the whole of it be driven off by heat, which, how- ever, we have already seen, is not the case. By the experiments of Berard and Delaroche, on the specific heat of gases, we find that to raise the temperature of the 15 96 Ibs. of azote to the temperature of 500 degrees Fahrenheit, will only require 4 9 ounces of coal a quantity too small to be taken into account. The loss, therefore, by the escape of these gaseous products of the coal, amounts by these calculations * The average of the experiments of Watt, Eumford, and Black, gives 39 Ibs. of water raised 180 degrees, by the com- bustion of 1 Ib. of coal ; or 7020 Ibs. of water raised 1 degree. The latent heat of ice being 140 degrees, this will be equal to melting 50-14: Ibs. of ice with 1 Ib. of coal; and the heating power of coke, compared with coal, being as 10 to 8, 1 Ib. of coke will melt 62 7 Ibs. of ice. 408 COMBUSTION OF COAL. to 38 per cent. ; and the coke which remains will be of the description known by the name of "oven coke," and will produce the same calorific effect as the original quantity of coal would have done, provided the coal were burned in the usual manner. Another method may be employed for ascertain- ing the loss sustained by the escape of the volatile matter of coal, by calculating the heating power of the various products obtained from coal in the pro- cess of gas-making. The quantity of carburetted hydrogen gas obtainable from 100 Ibs. of caking coal, of good average quality, may be stated at about 450 cubic feet; of which the specific gravity is about 50 to 55. Twenty-four cubic feet of this gas will weigh 1 Ib. ; and as 1 Ib. weight of this gas will melt 85 Ibs. of ice, according to Dr. Dalton's experiments, we shall have ^ x 85 = 1593 Ibs. of ice melted by the combustion of the gas obtainable from 100 Ibs. of coal. Reducing this, as in the former case, to the mean of the results obtained by Watt, Rumford, and Black, we shall find that it is equal to the total effect of 31*76 Ibs. of coal. In addition to this there will be about 8 Ibs. of tar obtained from 100 Ibs. of coal. This, when decom- posed by heat, yields about 100 cubic feet of an impure hydro-carburet, mixed with about one-third by weight of carbonic oxide. Reckoning the heat of this by the data already given, it will be equal to the effect of 10 4 Ibs. of coal. The other product of the distillation is ammoniacal liquor. Of this about 7^ Ibs. will be obtained from 100 Ibs. of coal ; consisting of 5| Ibs. of water, and If Ibs. of am- monia ; the former containing in its composition 64 Ib. of hydrogen, and the latter -29 Ib., making together '93 Ib. of hydrogen ; and the heat obtain- able from this quantity of hydrogen will be equal to 5 "93 Ibs. of coal. These several results amount together to a loss equivalent to 43 09 Ibs. of coal, COMBUSTION OF COAL. 409 but as the residuary product of the distillation will be only " retort coke," which is inferior to " oven coke " in its heating power to the extent of 12^ per cent., according to the experiments of M. de Pam- bour, we must deduct from the above amount the difference between the heating power of this coke and that which was supposed to be obtained by the former mode of calculation the quantity lacing considered the same in both cases. We shall there- fore find the statement will stand as follows : Ibs. of Coal. Heat obtainable from 450 cubic feet of carbnretted hydrogen = 31-76 Do. 8 Ibs. of tar = 10-40 Do. -93 Ibs. of hydrogen contained in the l! _ 5 . g3 ammoniacal liquor . / ~ 48-09 Deduct difference in heating power of residuary coke, viz.\ _ q .o 7 75 Ibs., at 12J per cent / ~ Total loss 38-72 By this method of calculation, the loss occasioned by the non-combustion of the volatile products of the coal amounts to 38^ per cent., which is an ex- tremely near approximation to the result obtained by the former method. We cannot, however, con- sider that the whole of this amount is always lost by the escape of smoke in the combustion of coal. With open fires, no doubt, this is the case, as well as other sources of loss peculiar to this method of combustion. But in furnaces, however imperfectly they are constructed, some portion of the smoke is always consumed ; and by that amount, whatever it may be, the loss is diminished. The smaller the quantity of volatile matter which the coal contains, the less will be the loss in this way ; but the kind of coal selected for these calculations is a quality which may be considered to afford a fair average. (390.) But, in addition to the loss of calorific effect which is here shown by the escape of uncon- 410 COMBUSTION OF COAL. sumed smoke, there is another source of loss which always exists in a greater or less degree, arising from the formation of carbonic oxide. It is of importance to understand correctly the theory of the formation of this carbonic oxide, as it materially affects the question of economy in the combustion of fuel. (391.) When atmospheric air comes in contact with coal or coke at a very high temperature, the combination of the oxygen of the air with the car- bon of the fuel always forms carbonic acid gas, and produces the phenomenon of combustion* Such is the effect of atmospheric air entering through the grate-bars of a furnace, on a lower stratum of fuel, lying immediately on the bars. But while this carbonic acid gas passes upwards through the upper strata of the heated fuel, a further portion of carbon combines with it, and it becomes converted into carbonic oxide carbonic acid consisting of two volumes of oxygen and one volume of carbon ; while carbonic oxide is composed of equal volumes of oxygen and carbon. The result of this conversion of carbonic acid gas into carbonic oxide, by passing the former through highly-heated carbon, is a considerable loss of heat when the carbonic oxide escapes from the furnace in this state ; for a given weight of carbon, converted into carbonic oxide, only produces half the heat which it would do were it converted into carbonic acid gas. The combustion of fuel, therefore, cannot be perfect where any considerable quantity of carbonic oxide escapes undecomposed ; * The lowest temperature at which this combination of oxygen and carbon takes place, is a little above the boiling point of mercury. At this temperature carbonic acid gas is formed without any luminous appearance ; at higher tempera- tures true combustion occurs, and carbonic acid is produced with great rapidity. (Davy's " Experiments on Flame," Philosophical Magazine, vol. 50, p. 10.) COMBUSTION OF COAL. 411 although it may often happen that no smoke is visible even when there is a large escape of carbonic oxide. This is particularly the case when coke is used as fuel. There is in this case no smoke ; but if there is a deficiency of atmospheric air to supply the necessary amount of oxygen to convert the product of the combustion wholly into carbonic acid gas, a large quantity of carbonic oxide is formed, which not only causes a very great loss of fuel, but it is probably even more unwholesome than the most dense smoke. No system of combustion can therefore be perfect which does not provide a supply of atmospheric air above the fuel, sufficient to reconvert the carbonic oxide (which has been formed by passing the carbonic acid through the mass of burning fuel) into carbonic acid; and in this process it absorbs just its own volume of oxygen, and it gives out another measure of heat exactly equal to that already produced by it in the furnace, the heat from a given volume of carbonic acid being just double what is obtained from the same volume of carbonic oxide. The combustion of the furnace is therefore produced by the oxygen of the air forming carbonic acid with the lower stratum of fuel lying on the furnace-bars ; this is changed into carbonic oxide as it passes through the super-stratum of heated fuel ; and this carbonic oxide is again reconverted back into carbonic acid, by bringing the oxide into union with a further quantity of atmospheric air. (392.) In the case of bituminous coal, the economy of fuel must necessarily consist both in consuming the smoke and in preventing the escape of undecomposed carbonic oxide. Smoke always arises from one of two causes deficiency of air, or an insufficient degree of heat to cause the chemical union between the constituents of the fuel and the oxygen derived from the air; and sometimes it 412 COMBUSTION' OF COAL. arises from both these causes combined. The loss arising from the carbonic oxide is almost entirely owing to deficiency of oxygen. In open fireplaces the smoke is caused by deficiency of heat ; in close furnaces it is generally caused by deficiency of air ; and all the different methods which have been proposed for consuming smoke in close furnaces, however variously these plans may be applied, are all based on the principle of supplying additional air to the burning fuel. Two or three plans, indeed, for destroying smoke have been proposed, which will presently be mentioned ; but we shall first inquire into the methods of beneficially apply- ing the combustion of the gaseous products of coal to the ordinary purposes of fuel. (393.) A vast deal of misconception upon a very simple subject has occurred from parties interested in particular inventions discussing the general question of the combustion of smoke in the way best calculated to recommend their own inven- tions, and to depreciate those of others. The inquiries as to whether hot air or cold air is most advantageous for consuming smoke, or whether smoke is really capable of being consumed after it is once formed, or whether the only remedy for it is to prevent its formation, are entirely of this kind. But that which will be found to be the fact is, that smoke is as capable of being consumed as any other combustible, and that there are many methods of accomplishing this both by hot and by cold air. The combustion of smoke, and indeed of any other substance, is not to be supposed to involve its total annihilation ; for matter of all kinds, so far as our knowledge extends, is indestructible. But the combustion of smoke is that change of state produced by chemical union with other sub- stances, which entirely alters its character and appearance. COMBUSTION OP COAL. 413 (394.) The constituents of smoke can be accu- rately judged of from a knowledge of the chemical composition of the coal which produces it. Nitro- gen, oxygen, hydrogen, and carbon, with the various combinations of these bodies, namely, carbonic acid, carbonic oxide, carburetted hy- drogen, ammonia, and vapour of water, together with minute portions of various resins, salts, earthy matters, and volatile inflammable vapours, must necessarily constitute the substance known under the general name of smoke. All these sub- stances, except the carbonic acid, are capable of further combinations with atmospheric air, by means of a high temperature; and practically they do all undergo a change, except that the nitrogen exists in too large a quantity to enable any considerable proportion of it to combine chemically with the other substances. Thus, then, there is nothing to prevent a " true combustion of smoke " from taking place ; by which means chemical combinations are produced, the principle being that the uncombined carbon which gives the black colour to smoke unites with oxygen derived from the air, and becomes converted into the colourless carbonic acid gas ; while the carbonic oxide is also changed into the same chemical compound namely, carbonic acid. As regards the actual destruction of the black colour of smoke, it matters but little whether hot or cold air be admitted into the furnace ; for so long as the furnace is sufficiently hot, and the quantity of air is sufficiently abundant, the com- bustion will take place. But before the air can enter into combustion, it is necessary that it be raised to a high temperature ; in most cases, about 800 or 900 of Fahrenheit being required for this purpose.* When the air is not heated previous to * See note to Art. 391, ante. 414 COMBUSTION OF COAL. its entrance into the furnace, this heat which is necessary for its combination is obtained from the bodies with which it combines; their temperature is therefore necessarily lowered, by parting with the requisite heat to raise the temperature of the air to that high degree at which it will enter into chemical union with the gaseous and solid matter of the fuel. (395.) The experiments of Sir Humphry Davy on combustion,* clearly show the necessity of a high temperature before active combustion can take place, and the advantages that must therefore result from extrinsically heating the air which supports combustion. They also entirely refute the assertions that the rarefaction of the air by heat is injurious to complete combustion, his ex- periments having in fact been undertaken with the view of testing the accuracy of a theory to this effect, propounded by M. de G-rotthus and others, and which he found to be erroneous. When Sir Humphry Davy caused a jet of hy- drogen gas, one-sixth of an inch in height, to burn in the receiver of an air-pump, the flame enlarged as the receiver was exhausted by the pump, and was at its maximum when the pressure of the air was between four and five times less than that of the atmosphere ; and when a larger jet was used, the same phenomenon occurred even when the air was rarefied ten times. This effect, from a larger jet, was found to arise from the increased heat produced : and the conclusion drawn from all the experiments was, "that among combustible bodies, those which require least heat for their com- bustion, burn in more rarefied air than those that require more heat; and those that produce much * " Kesearches on Flame," by Sir Humphry Davy. Philo- sophical Transactions, Part I., for 1817 ; and Philosophical Magazine, vol. 50, p. 1, et seq. COMBUSTION OF COAL. 415 heat in their combustion, burn, other circumstances being the same, in more rarefied air than those that produce little heat." The experiments also proved that " by preserving heat in rarefied air, or giving heat to a mixture, inflammation may be continued when, under common circumstances, it would be extinguished." When these mixtures were heated before combustion, Sir Humphry Davy found " that expansion by heat, instead of diminishing the com- bustibility of gases, on the contrary enables them to explode apparently at a lower temperature ; which seems perfectly reasonable, as a part of the heat communicated by any ignited body must be lost in gradually raising the temperature." It was also found that " the cooling power of mixtures of elastic fluids in preventing combustion increases with their condensation and diminishes with their rarefac- tion ; at the same time the quantity of matter en- tering into combustion in given spaces is relatively increased and diminished. The experiments on flame in rarefied atmospherical air show that the quantity of heat in combustion is very slowly diminished by rarefaction, the diminution of the cooling power of the azote being apparently in a higher ratio than the diminution of the heating powers of the burning bodies." When the rarefac- tion of the air, however, is produced by heat, not only is there no loss whatever in the available heat produced by combustion, but the extensive applica- tion of heated air by means of the " hot blast " to the smelting of iron, proves that there is an enor- mous increase in the effect, both on the solid matter of the fuel as well as on its gaseous products. And the same result will necessarily occur with respect to all kinds of furnaces for the combustion of fuel. The heated air, when carefully kept from imbibing moisture, will always enter into combustion more readily than cold air ; will cause a much greater heat 416 COMBUSTION OF COAL. in the furnace ; and will produce more perfect com- bustion of the fuel. Sir Humphry Davy not only proved "that the combustion of all gaseous mix- tures is increased by rarefaction by heat," but he ascertained by his experiments, that a general law obtained "that at high temperatures gases not concerned in combustion will have less power of preventing that operation, and likewise, that steam and vapours, which require a considerable heat for their formation, will have less effect in preventing combustion (particularly of those bodies requiring low temperatures) than gases at the common heat of the atmosphere." The well-known effect of cold frosty air, in causing fires to burn clear and bright, in no way militates against these conclusions. The effect produced by cold air arises from the decreased quantity of moisture which it then con- tains, and not from the greater density of the air : for Sir Humphry Davy found that even with atmo- spheric air condensed to jive times its natural density, scarcely any appreciable difference could be per- ceived in its effect on combustion. Neither can these effects be different, whether the combustible be a solid or a gaseous body ; except that the latter would be more easily lowered in its temperature and reduced below the temperature requisite for its accension. (396.) The expansion of air by heat, previous to its entrance into the furnace, cannot at all reduce the quantity of oxygen which combines with the fuel. For as air will not support com- bustion until it be raised to a very high temperature (about 800 or 900), its expansion must neces- sarily be the same, whether this heat be communi- cated to it within or without the furnace. (397.) The quantity of ' atmospheric air required for the combustion of coal is very great. Taking Richardson's analysis of Newcastle coal (Table COMBUSTION OF COAL. 417 XXXII., Art. 386), it appears that 355,376 cubic feet of air, of ordinary density, would be required for the combustion of one ton of this coal. If heated air be used, the number of cubic feet must be increased according as the density of the air is diminished; so that sometimes when the air is very highly heated, twice, or even three times this number of cubic feet of air may be necessary for the perfect combustion of the coal. The actual quantity of air which enters into a furnace, where complete combustion takes place, must be sufficient to convert the carbon into car- bonic acid, and the hydrogen into water. The former requires 2*66 times, and the latter eight times its weight of oxygen to make these com- binations; and the oxygen of the air being one- fifth of its total volume, or nearly one-fourth of its weight, we can thus calculate the quantity of atmospheric air required for the combustion of any particular kind of coal.* But this quantity of atmospheric air, large as appears its amount, will not be sufficient for per- fect combustion ; for this calculation supposes that the whole of the oxygen is abstracted from the air in the process of combustion, a result which ex- perience proves is never practically produced. Some interesting experiments on this subject have been made by Mr. Hunt,f on the furnaces of the principal engines in Cornwall ; and the average of the analysis of the air, taken from the chimneys of the furnaces, after it has performed its office in the combustion of the fuel, shows that the mixed gases passing off through the chimney contain * The constituents of atmospheric air by weight are oxygen 22 22, and nitrogen 77 77 ; but by volume the constituents are oxygen 21, and nitrogen 79, or very nearly these proportions. t Transactions of the Cornwall Polytechnic Society, 1843; and Glasgow Engineers' Magazine, vol. iii., p. 93. 2 E 418 COMBUSTION OF COAL. one-tenth of their volume of free oxygen. The amount of carbonic acid was also found to be, on an average, one-ninth of the total volume of the gaseous matter passing through the chimney. It appears, therefore, that but little more than one- half the oxygen of the air is abstracted in the process of combustion ; and these experiments prove that practically it requires double the quantity of air to produce complete combustion in furnaces that theoretical calculations would give, when based on the assumption of the entire abstraction of the oxygen from the air.* (398.) Whenever the gases eliminated from the combustion of coal are made to unite with the proper quantity of oxygen, and the temperature of the mixture is sufficiently high, the smoke will be consumed, in whatever part of the furnace or flues the admixture takes place. This fact has been disputed, but without any grounds for so doing. It has also been asserted that more atmo- spheric air is required to produce combustion of the smoke after it is mixed with the carbonic acid formed in the furnace, than would be required previous to this intermixture. This is true, theo- retically, as the experiments of Sir Humphry Davy proved ; for he ascertained that carbonic acid gas has rather a greater power of preventing the firing of explosive mixtures than azote would have.f Perhaps, therefore, the most advantageous place to introduce atmospheric air would be at the front of the furnace ; but, in all probability, the difference in this respect is very small, as we have already * These experiments made by actual working on a very large scale, show that 812 cubic feet of air, weighing 23^ Ibs., is required for the combustion of each pound weight of coal of the quality used in those experiments. f Philosophical Transactions, Part II., 1815; and Philo- sophical Magazine, vol. xlvi., p. 449. COMBUSTION OF COAL. 419 seen that, in ordinary cases of combustion, only about one-half the oxygen of the air combines in the process of combustion, arising, no doubt, from the difficulty of sufficiently mixing the gases together during their passage through the furnace. But the longer these gases are in contact, and the more they are agitated and mixed together by passing through the different obstructions of a furnace, the more likely is the oxygen of the air to be abstracted, and chemical combination to take place.* And, contrary to the opinion that smoke after it is once formed cannot be burned, a recent patent has been obtained for burning the smoke of furnaces by passing it over a second fire, at a con- siderable distance from the principal fire, with a fresh supply of atmospheric air; and, however distant this second fire may be from the primary one, the combustion of the smoke is complete, and an immense heat is derived from these gaseous products, which, under ordinary circumstances, would only produce the black smoke of common furnaces.f (399.) The actual quantity of heat produced by different qualities of coal does not exactly depend upon the quantity of oxygen with which they combine. Dr. Ure made experiments J on the actual amount of heat given out by several qualities of coal, when consumed in a calorimeter of very perfect construction ; by which, as nearly as possible, the entire heat from the coals was obtained ; and, taking the number of pounds of water raised 1 by * See Parliamentary Eeport on " Smoke Prevention," 1843, for much useful information on this subject. Also three Re- ports on Coals suited to the Eoyal Steam Navy, published by the Museum of Practical Geology. f See Collier's " Patent," Art. 456. J Eeports of the British Scientific Association, vol. viii. (1839), p. 20. 2 E 2 420 COMBUSTION OF COAL. the combustion of 1 Ib. of coal as the standard of comparison, * the proportions were Lambton's Wall's End . . . 7,500 Llangennech Coal . . \ . 9,000 Anthracite Coal . . . . 12,000 The cause of the less degree of heat by the combustion of coals containing large quantities of hydrogen, Dr. Ure considers to arise from the great amount of heat rendered latent by the formation of steam and carburetted hydrogen gas ; though the experiments of Dalton, Davy, Lavoisier, and Crawford all proved that the heat produced by the combustion of hydrogen is greater than from any other substance.f All experiments, however, agree in proving the great heat which is derivable from the combustion of anthracite coal. Considerable difficulty attends its combustion, on account of this kind of coal always breaking up in the furnace into small pieces, except it be very gradually heated ; and unless this precaution be adopted, the draught of the fire is wholly stopped. The breakage of the coal arises from its slow-conducting power, which causes the outside surfaces to expand more than the inner parts, when exposed to a high tempera- ture ; and this expansion causes the exterior parts continually to separate from the interior, until the whole substance is broken up. The elasticity which bitumen gives to coal prevents this result with the ordinary qualities of bituminous coal. To remedy this inconvenience with anthracite coal, various plans have been proposed for supplying it with vapour of water, in order to render it less brittle. The advantages of this operation, how- * These numbers represent the number of Ibs. weight of water heated 1 by 1 Ib. of coal. j" Ure's " Dictionary of Chemistry," Art. " Combustion." COMBUSTION OF COAL. 421 ever, are very questionable. For, in America, where large quantities of anthracite are burned, experiments have been made in order to ascertain the cause of the corrosion which sometimes occurs to boilers, iron chimneys, and stove pipes, by the combustion of anthracite coal : and from a report of the Franklin Institute of Pennsylvania,* it ap- pears that in these cases the ashy deposit has been found to contain muriate and sulphate of ammo- nia, sometimes as much as three-fourths of the deposit consisting of these salts. Where moisture is present, the action of these salts must be much increased in activity ; and it therefore deserves serious inquiry whether by the addition of vapour of water, all descriptions of anthracite become in some degree corrosive, or whether the effect is peculiar to the coal of certain districts.f It is probable, that the destructive effect which is some- times produced on thin copper boilers by par- ticular kinds of fuel may arise from something of this kind. Where the boiler is of such a form that the fire acts particularly on the sharp edges which form the connection between the bottom and sides of the boiler, instances have repeatedly occurred of the corrosion being so active, that the bottom has separated from the sides as though it had been cut with a chisel; and in other cases, the surface of the boiler, when very thin, has been so corroded as to become full of holes in the course of a few months' wear (Art. 75). * Mechanics' Magazine, vol. xxxvi., p. 439. f Experiments have led the author to conclude that this effect is not peculiar to anthracite coal, but that coke when burned with moisture produces the same results. The cir- cumstance is interesting in a chemical point of view ; and if more careful and extensive experiments show this opinion to be correct, they may give rise to important inquiries con- cerning the compound nature of certain (so-called) simple substances. 422 COMBUSTION OP COAL. The inventions which have been brought for- ward for consuming and for preventing smoke are very numerous. The following list will give a tolerable idea of the plans which have been pro- posed, and of the general methods by which the object is sought to be obtained. Those of which a description is known to have been published have a reference to such description ; but the list is not given as a perfectly accurate account of all the inventions for this purpose, as no doubt there are others which have escaped the author's notice.* (400.) The first attempt at consuming smoke appears to have been made by M. Delesme, some time prior to 1669, by means of a stove with a downward draught ; but it was not at all suitable for furnaces. (Philosophical Transactions, 1686.) (401.) Dr. Papin (1695) proposed a plan for forcing air down a shaft upon the fuel, in order to burn the smoke of furnaces. (Philosophical Trans- actions, 1697). (402.) James Watt (1785), patent for consuming smoke by admitting air through openings in the front of the furnace door, and also by gradually coking the coals. (Repertory of Arts, vol. iv. (1796), p. 226.) (403.) C.W.Ward (1792), patent for condensing smoke by drawing it, by means of an air-pump or bellows, through cold water. (Repertory of Arts, vol. i. (1794), p. 373.) (404.) W. Thompson (1796) proposed a furnace * In the following descriptions of the various inventions, there are several which profess to accomplish results utterly unattainable by the means proposed. The statements are chiefly taken from the published accounts of the various plans, and several of them are totally contrary to the principles of science. The description given must, therefore, not be taken as the author's explanation of the operations or the effects, but as those of the several inventors. COMBUSTION OF COAL. 423 to burn smoke, by letting air in behind the bridge. (Repertory of Arts, vol. iv. (1796), p. 316.) (405.) Roberton, of Glasgow (1800), patent for admission of heated air in thin streams over the fire-door ; for coking the coals in front of the furnace; and also a hopper to supply the fuel. (Repertory of Arts, vol. xvi. (1802), p. 364.) (406.) M. de Prony (1809 or 1810), Report on apparatus erected at the Royal Mint, Paris, foe consuming smoke, by two pipes passing from the front of the furnace door and delivering hot air at the bridge. He also states that this plan had previously been used by MM. Clement and Desormes, and others. (Annales de Chimie and Retrospect of Science, vol. v., p. 439.) (407.) Wm. Sheffield (1812), patent for hollow or split bridge, which delivered the air in a horizontal stream towards the front of the furnace. (Gill's Technical Repository, vol. i., pp. 16 and 42.) (408.) J. Wakefield (Manchester), a similar patent to the above, and of subsequent date. (Ibid.) (409.) Wm. Johnson (Salford), a similar and subsequent patent. (Ibid.) (410.) Losh (1815), patent for dividing the furnace into two parts, lengthways ; the two compartments being supplied with fuel alternately, by which the smoke from the fresh fuel passed over the more perfectly ignited fuel, and was thus consumed. (411.) Brunton(1816), patent for revolving grate and feeding hopper ; by which the fuel was equally distributed over the furnace, and in small quantities at a time, thereby preventing all dense smoke. (Mechanics' Magazine, vol. i., p. 121.) (412.) John G-regson (1816), patent for bringing air down a shaft, near the bridge, to promote com- bustion. Mechanical means were used to supply the fuel by a snail wheel moved by springs. ( Quarterly Journal of Science, vol. iii., p. 348.) 424 COMBUSTION OF COAL. (413.) Josiah Parkes (1820), a patent for split bridge, precisely similar to Sheffield's patent of 1812. (Mechanics Magazine, vol. ii., p. 250.) (414.) W. Pritchard (1820), a patent for a regulating weight to close gradually the furnace door, so as to vary the quantity of air passing into the furnace. (Repertory of Arts, vol. xxxix. (1821), p. 140.) (415.) Mr. Marsh (1824) consumed the smoke of furnaces by leaving two openings in the flue at the back of the furnace. (Gill's Technical Repository, vol. vi., p. 213.) (416.) Chapman (1824) described a plan for hollow furnace bars, that conveyed heated air into the furnace through a split bridge which projected the heated air horizontally. Also a hopper to supply the fuel. (Transactions of the Society of Arts, vol. xlii., p. 32 ; and Quarterly Journal of Science, vol. xix., p. 138.) (417.) James Nevill, patent for a fan fixed in the flue, which produced a rapid draught up the chimney. (418.) Stanley's patent for a feeder for furnaces which consisted of a hopper, and grooved rollers to crush the coal. Two revolving pans scattered the coal over the fire in small quantities at a time, and thus prevented the dense smoke. (419.) Jeffries (1824), patent for destroying smoke by a shower of water. Two chimneys are used, and the smoke passes up one and down the other, in which latter a shower of water falls from a colander, and carries the smoke in the form of soot into a drain. (Mechanics Magazine, vol. xxxiv., p. 198.) (420.) Mr. Oldham, of the Bank of England, employed a plan of rocking bars, moved by a small eccentric on a shaft worked by the engine. (421.) G. Chapman, of Whitby, plan for con- COMBUSTION OF COAL. 425 suming smoke by the use of hollow furnace bars delivering heated air at the bridge of the furnace, 1825. (Repertory of Arts, vol. xlvi., p. 360.) (422.) J. Gilbertson (1828), patent for making the sides of the furnace of hollow plates, through which the air passes, and is delivered in a heated state at the back of the furnace. (Repertory of Arts, vol. vii. (1829), p. 65.) (423.) Win. Taylor (1830), patent for consuming smoke, by forcing it through the fire mixed with atmospheric air by means of an air pump. Also for a mode of passing the smoke through red-hot pipes placed in the furnace among the fuel, which pipes form the only outlet to the chimney. (Reper- tory of Arts, vol. i. (1834), p. 282.) (424.) J. C. Douglass (1833), patent for two or more sets of bars. The smoke from the first set passes downwards below a bridge, and then up- wards through a second set of bars, on which burning fuel is placed. (Repertory of Arts, vol. v. (1836), p. 346.) (425.) J. G. Bodmer (1834), patent for traversing bars, moved by machinery, which receive the fuel from a feeder, and discharge the ashes at the further end of the furnace. (426.) Richard Goad (1835), patent for heating the air by passing it through pipes placed in the flues, and delivering the air at the bridge of the furnace. (Mechanics' 1 Magazine, vol. xxvii., p. 375.) (427.) T. Hedley's patent for purifying smoke by four or six flues, of which one half ascend and the other half descend. A shower of water falls through the descending flues and washes the smoke, depositing the carbon in the form of lamp-black. (428.) William Richard, of Leeds, patent for gasometer applied to furnaces, so that on opening the furnace door to feed the fire a passage is opened from the gasometer, containing condensed air, to a 426 COMBUSTION OF COAL. number of holes at the back of the bridge, and the supply of air gradually diminishes as the fire burns clear. (429.) Samuel Hall (1836), patent for cast-iron pipes placed upright in the flue at the back of the furnace, and then passing towards the front. The air is thus heated to about 300, and the gases inflame in front of the furnace. (Mechanics' 1 Maga- zine, vol. xxviii., p. 226.) (430.) John Hopkins (1836), patent for a curved bridge, by which the smoke and gases are thrown back again upon the burning fuel. (Repertory of Arts, vol. vii. (1837), p. 252.) (431.) Jacob Perkins (1836), patent for two sets of bars and two ashpits. The second ashpit is closed, and supplied with air by a fan, so as to give more air to that part of the furnace, and thus burn the smoke from the fuel on both sets of bars. (Repertory of Arts, vol. viii. (1837), p. 268.) (432.) Joseph Chanter (1837, &c.,) several patents for smoke burning, principally by in- clined bars double sets of bars air supplied through tubes placed under the first set of bars and hot air supplied at the bridge. (433.) James Drew, Manchester, patent for two sets of bars. The coal is coked on the first set, and passed on to the second set, which is then raised by rack-work as near the boiler as possible. (434.) Paul Chappe, patent for injecting small jets of boiling water over the fire, in front of the bridge. (435.) Ivison and Bell (1838), patent for inject- ing small jets of steam into the furnace, and also for heating the air by passing it through tubes. (Mechanics' Magazine, vol. xxviii., p. 221, and vol. xxx., pp. 69 arid 107.) (436.) Kodda's patent for a furnace divided across in two parts. The fuel is first put into the COMBUSTION OF COAL. 427 compartment nearest the door, and afterwards thrown backwards to the further compartment. The smoke is burned by passing over the clear fire of the second compartment. (Mechanics Magazine, vol. xxxi., p. 386.) (437.) Cheetham and Bayley, patent for a fan which catches the smoke and forces it, mixed with fresh air, through the ashpit and furnace bars, the ashpit being made air-tight. (438.) Thomas Hall (Leeds), patent for dividing the furnace into two compartments lengthways, which are supplied with fuel alternately, and the smoke thereby passes over red-hot fuel. (439.) James Nevill (1837), patent for two sets of hollow bars containing water. A downward draught is produced by the chimney drawing only from the lower set of bars and the smoke burned by passing through the hot fuel in contact with the bars. (Repertory of Arts, vol. xii. (1839), p. 220.) (440.) John Juckes (1838), patent for heating the fuel by passing it through highly-heated pipes or other surfaces, by which it is coked before it passes into the fire, which is effected by mecha- nical meaus. (Repertory of Arts, vol. xiii. (1840), p. 122.) (441.) J. A- Caldwell (1839), patent for a rotary fan, by which air is forced into a closed ashpit ; the furnace bars are placed very close together, and a movable damper is applied in the chimney, by which the velocity of the smoke escaping is retarded, and the heated gases retained longer in the furnace. (Repertory of Arts, vol. xiii. (1840), p. 83.) (442.) William Miller (1839), patent for rocking bars, by which each alternate bar is made to move lengthways in opposite directions, backwards and forwards; and thus preventing clinkers, and con- 428 COMBUSTION OF COAL. suming the smoke by allowing a free passage for the air through the bars. (Repertory of Arts, vol. xvii. (1842), p. 143.) (443.) C. W. Williams (1839), patent for sup- plying air in jets to the furnace, principally behind the bridge, by a diffusion box. The air is supplied cold. (444.) Andre Kurtz (1840), patent for three sets of bars, those at each end inclined, and the middle set lower than the others, Hollow bearing bars which convey heated air into the furnace, (Me- chanics Magazine, vol. xxxiv., p. 397.) (445.) Junius Smith (1840), patent for a double fan or blower, which passes heated air with the smoke through the furnace bars a second time. The heavy gases are allowed to fall by their gravity below the fan, which then forces them down, and niters them through gravel or sand. (Repertory of Arts, vol. xvi. (1841), p. 81.) (446.) Baron Yon Eathen (1840), patent for hollow firebars, resting upon bearers with steps, forming two sides of a triangle, which allows more air to pass into the furnace. Also, a coal-feeder placed over the dead-plate, which supplies fuel without opening the door. (Mechanics Magazine, vol. xxxv., p. 27.) (447.) Godson and Foard (Jan., 1841), patent for a box placed below the furnace bars with a movable bottom. The box being filled with fuel, the bottom is gradually raised by a lever, and supplies fuel from below, the smoke from which is consumed by passing through the red-hot fuel. (Repertory of Arts, vol. xviii. (1842), p. 129.) (448.) M. Coupland (Sept., 1841), a patent for movable centre bars which pass downwards into a box ; nearly similar to Godson's. (Repertory of Arts, vol. xviii., p. 207.) (449.) F. Heindruckx (1841), patent for a fur- COMBUSTION OF COAL. . 429 nace without bars. The sides of the furnace are inclined, and a narrow opening is left at the bot- tom and whole length of the furnace, through which the air enters, and is regulated by a longi- tudinal valve. (Mechanics Magazine, vol. xxxv., p. 366.) (450.) J. C. March (1841), patent for causing air to be blown in streams on the upper surface of the fuel without passing through the fire. No furnace bars are used by this plan. (Mechanics Magazine, vol. xxxv., p. 492.) See also a some- what similar plan, Art. 401. (451.) John Juckes (1841), patent for a furnace grating passing over rollers at each end of the furnace like an endless chain. The bars revolve by machinery, receiving fuel from a feeder placed near the door, and deliver the ashes at the further end of the furnace. (Repertory of Arts, vol. xvii., (1842), p. 210.) (452.) J. Prosser (1842), patent for a furnace bridge, with square holes for the admission of air. The bridge is fixed close against the bottom of the boiler. (453.) Kymer and Leighton (1843), patent for diagonal bars resting in small loDgitudinal troughs of water. A closed ashpit is used, and a fan forces air through the bars and also over the fuel. The plan used principally for anthracite coal. (454.) Schofield, of Leeds (1842), proposed the use of very narrow furnace bars, a quarter of an inch wide at top, and as thin as possible at bottom, and two inches deep. These bars admit a larger quan- tity of air than usual, and thus consume the smoke. (455.) E. Billingsley, of Bradford (1842), pro- posed a focal bridge beyond the furnace bars, and a sliding rack or grating in front of the furnace to admit air. (Mining Journal, Jan., 1843.) (456.) E. H. Collier (1843), patent for the use 430 COMBUSTION OF COAL. of a second fire at a distance from the usual fire. The smoke, after passing through the ordinary flues, is carried over this second fire, and there mixed with an additional quantity of air, when it inflames, and is carried through a second set of flues before passing into the chimney. (457.) Butler's (1845) registered plan for mov- able bridge, which opens to regulate supply of air. (Mechanics Magazine, vol. xlii., p. 50.) (458.) Whiteley's (1845) registered plan for feeding apparatus and admitting fresh air. (Mecha- nics' Magazine, vol. xlii., p. 147.) (459.) Blackwell's (1848) patent for a double- chambered furnace for coking the fuel. (Mechanics' Magazine, vol. xlix., p. 122.) (460.) Acock's (1848) patent for a feeding hop- per and other improvements. ( Mechanics' Magazine, vol. xlix., p. 554.) (461.) Burrow's (1848) patent for a regulating feed-roller to furnaces. (Mechanics' Magazine, vol., 1., p. 425.) (462.) James Robertson (1848), patent for per- forated tubes to convey air into the furnace. (Mechanics' Magazine, vol. 1., p. 429.) (463.) Grist's (1849) patent for revolving fur- nace bars. (Mechanics' Magazine, vol. I., p. 1081) (464.) Newcombe's (1849) reciprocating fur- nace bars, moved by a cam. (Mec/wnics' Magazine, vol. li., p. 67.) (465.) Samuel Hall (1849), reciprocating fur- nace bars moved by eccentrics. (Mechanics' Maga- zine, vol. li., p. 286.) (466.) Elijah Galloway (1849), oscillating fur- nace bars. (Mechanics' Magazine, vol. Hi., p. 239.) (467.) Joseph Johnson (1849), patent for heated air delivered through pipes, at or near the bridge. (Mechanics' Magazine, vol. lii., p. 318.) (468.) William Hargreaves (1850), patent for COMBUSTION OF COAL. 431 oscillating bars combined with a feeding-bed which forces the fuel gradually forward in the furnace. (Mechanics Magazine, vol. liii., p. 335.) (469.) D. L. Williams (1850), patent for hollow furnace bars. (Mechanics' Magazine, vol. lv., p. 1.) (470.) T. S. Prideaux (1850), patent for air- valve closing gradually to regulate the quantity of air which passes into the furnace through perfora- tions in the inner door; the air becoming heated by passing through them. (Mechanics Magazine, vol. lv., p. 18.) (471.) George Anstey (1851), patent for passing smoke through a series of apertures to keep it in contact with flame. (Mechanics' Magazine, vol. lv., p. 75.) (472.) Johann Stierba (1852), patent for feed- ing hopper, and air tubes for delivering air at the bridge. (Mechanics Magazine, vol. Ivii., p. 422.) (473.) Sorrell's (1852) patent for oscillating furnace bars worked by cams; a feeding hopper worked by a roller ; and for admitting air at the bridge of furnace. (Mechanics Magazine, vol. lix., p. 26.) (474.) Green's (1853) patent for double fires, to be fed alternately, together with peculiar system of flues. (Mechanics' 1 Magazine, vol. Ixi., p. 2.) (475.) Jearrard (1853) hollow perforated fire- brick sides, &c., for admission of air to furnace. (Repertory of Arts, July, 1854.) (476.) Gilbertson (1854), a perforated iron tube over the fuel to deliver air to furnace. (Repertory of Arts, March, 1855.) (477.) Simpson (1854), stops or inverted bridges in the furnace to deflect air on to the fuel. (Reper- tory of Arts, April, 1855.) (478.) Yates (1854), mechanical feeding appa- ratus for furnaces. (Repertory of Arts, March, 1855.) 432 COMBUSTION OF COAL. (479.) Taylor (1854), furnace supplied with air above the fuel and not through furnace bars. (Repertory of Arts, September, 1855.) (480.) Manley's (1854) method of descending stream of water, in the shaft or upright flue. (Mechanics Magazine, vol. Ixi., p. 205.) (481.) W. Woodcock (1854), patent for air- tubes at sides of furnace, above the furnace bars, delivering heated air beyond the bridge of furnace in jets. (Mechanics Magazine, vol. Ixi., p. 410.) (482.) Parker's (1854) patent for a loose or movable box or bridge, pierced with holes, and placed in front of the ordinary bridge, on the bars ; by which heated air is delivered to the gases as they pass over the furnace bridge. (Mechanics Magazine, vol. Ixi., p. 445.) (483.) Galloway's (1854) patent for pipes placed below the furnace bars, and delivering air into a hollow or double bridge. (Mechanics' Magazine, vol. Ixi., p. 458.) (484.) It appears unnecessary to describe more of these inventions for burning smoke. The recent plans have been far less numerous than they were a few years ago, partly because almost every con- ceivable form has been patented repeatedly before, and also because since the passing of the Act for the consumption of smoke in large towns, people appear to have become aware that there are many ways of accomplishing this object, and that no patent process whatever is necessary for the pur- pose' The process of smoke burning is indeed extremely simple in itself, and, with the exception of some very few of the preceding inventions, which are clearly founded on a misconception of the chemistry of combustion, they all attempt to effect the same object ; namely, to bring a larger quantity of atmospheric air into contact with the fuel, or with the products of the first combustion. It will COMBUSTIOX OF COAL. 433 be remarked that all the later plans, without ex- ception, are mere modifications of the very earliest inventions ; and that the first six or eight plans described in this list contain the gist of the many subsequent inventions for this purpose. In fact, it will be perceived that the same identical plans have been again and again patented by different individuals : and it is extremely doubtful whether any patent of the present day is really valid in law, and whether it cannot be shown to have been long previously known to the world, and free for general use. In most of these plans the design of bringing a larger quantity of air into the furnace is obvious. But in some few this principle is not so plainly developed. Among these latter may be notice'd the inventions in which a jet of steam is thrown into the furnace, and two other inventions in which a shower of water falls down the flue with considerable velocity. In all these cases the great velocity of the steam and the water give an addi- tional impetus to the motion of the gaseous bodies within their immediate sphere ; and these again communicate their velocity to those which are more distant, and thus draw into the furnace an addi- tional quantity of air. There are practical diffi- culties, however, attending the use of a shower of water used in this way, which must effectually prevent these inventions coming into very general use. (485.) A second class of inventions are those in which the fuel is gradually coked, before it enters into combustion. When coal is suddenly exposed to a high temperature, a very large quantity of gaseous matter is given off, which quantity gradually diminishes as the coal becomes more nearly converted into coke. By slowly heating the coal, a more equable evolution of gas is produced. 2 F 434 COMBUSTION OF COAL. This result is very effectually accomplished by using a large dead or dumb plate in front of the furnace. The coals being placed on this plate are gradually warmed, and at last arrive at a state of incandescence, when all the gas has been driven off ; by which gradual distillation of the volatile gases, the necessary quantity of air to produce combustion is more easily obtained, as the demand for it thus continues nearly uniform throughout the whole of the process of combustion, instead of the very large additional quantity required when a fresh charge of coal is thrown on the fire in the ordinary method of supplying fuel. The use of a large dead plate in this way is quite sufficient of itself, without any additional contrivance, to consume all the smoke of a furnace, provided the fire on the bars be kept thin, so as to allow a more ready entrance for the air through the fuel. Considerable attention is, however, required on the part of the fireman, that the fuel on the dead plate be gradually pushed forward into the furnace as it becomes heated. When the fuel is supplied through a hopper, placed in front of the furnace, the necessity for opening the furnace door becomes much less frequent, and the unnecessary cooling of the furnace is thus pre- vented. Where no air is admitted except through the furnace bars, there will, however, always be a considerable quantity of carbonic oxide formed during the combustion ; and although, under these circumstances, there is no smoke, the greatest effect of the fuel is not, by this means, produced. A moderate quantity of air ought to be introduced into the furnace, to mix with the gases distilled from the coal, and also to convert the carbonic oxide formed by the upper strata of coal into carbonic acid. This air ought to be heated before it enters the furnace, as it thus more readily inflames, mixes more easily with the heated gases of the furnace, COMBUSTION OF COAL. 435 and prevents injury by the unequal action of cold currents impinging against the bottom of the boiler. It perhaps matters but little in what part of the furnace this air be introduced ; but the more it is diffused the better, as the heat is then less likely to become too intense on one particular part. Various simple methods of introducing heated air may be used ; and the plan of using two pipes in the manner originally employed at the Royal Mint at Paris (Art. 406), as long ago as the year 1809, answers the purpose extremely well. The apertures to the pipes should be fur- nished with covers which can be partially closed ; and by the experiments of Mr. Houldsworth,* it appears that an aperture for the air, varying from 1 J to three square inches, for each square foot of the area of the furnace bars, will be sufficient for this purpose, the size of the pipes varying with the nature and quality of the coals. (486.) The gradual coking of the fuel is likewise effected by such plans as those of Drew, Godson, and Coupland. Godson's plan effectually cokes the coal, and is perfectly compatible with any method of introducing additional air above the fuel to con- sume the carbonic oxide. The plans of Losh, Rodda, Thomas Hall, Collier, and some others, in which the flame from one fire passes over a second fire of clear bright burning fuel, is another mode of accomplishing the same object, but apparently less simple in its operation ; and the mechanical means of continually feeding the fire, used by Stanley and by Brunton, produce nearly the same effect as the method of coking the coals would do ; as by these means the evolution of the gases from the coal is equalised throughout the combustion, and the extra- ordinary demand for air, when fresh charges of * " Report of the Select Committee of the House of Com- mons on the Prevention of Smoke," p. 105. 2 F 2 436 COMBUSTION OF COAL. coal are supplied in the common mode of firing, is thereby avoided. (487.) The method of supplying heated air through a split bridge has been repeatedly patented. Mr. Sheffield, in 1812, was undoubtedly the first to propose this plan, and his method of making the aperture deliver the heated air horizontally into the furnace, is perfectly correct in principle. The defect of these plans has frequently been that too large a quantity of air has thus been brought into the furnace, and the effect has been to lower its temperature. Mr. C. W. Williams' plan of diffusion would be very good, if it were used with hot air, instead of cold air, which latter is specially directed by the patent to be used ; but by the former method, it would approach very near to the prior patent of Mr. Samuel Hall, differing only in being more simple and inexpensive. It should not, however, be overlooked, that it is not so easy to heat large quantities of atmospheric air to a high temperature as some persons imagine. When hot air is applied to blast furnaces,* it is found that to heat the air to about 600 Fahrenheit, it is necessary for it to traverse a surface of cast-iron pipes at nearly a red heat, for a distance of about 5J feet. The mere instantaneous passing of air through a heated me- tallic perforated plate, would therefore add but little to its temperature, unless it were also made to travel through heated pipes for some considerable distance. (488.) Probably one of the most effectual methods of burning smoke is the plan of Mr. March (Art. 450), by blowing air downwards upon the fuel by a fan, and dispensing with the use of furnace bars. There can be no question that a most perfect combustion of the fuel may be thus produced; but it is very doubtful whether the * Dufrenoy's Report on Hot Air in Iron Works of England, London, 1836, p. 77. COMBUSTION OF COAL. 437 additional trouble which this method would cause, and the necessity for a mechanical power to pro- duce the requisite blast of air, will not prevent its adoption to any considerable extent. A similar plan to this is stated to have been tried experi- mentally in some of the furnaces used in the manufacture of iron ; and as the whole of the carbonic oxide must, by this plan, be consumed, there will necessarily be a considerable saving of fuel.* (489.) It has been objected to the various plans for the admission of air to the gases above the fuel of the furnace, that the air, when thus admitted, prevents to a certain extent the admission of the air through the furnace bars, and thus reduces the rate of the combustion of the fuel on the furnace bars. This to a certain extent is true, but it can be no argument against the plan ; for it can only be when the air is improperly admitted, and escapes through the flues in an uncombined state, that the total combustion of the furnace can be reduced by the admission of air above the fuel. And in general it will follow that the heat of the furnace being in- creased by the perfect combustion of the gases on the top of the fuel, the draught of the furnace will be increased, and therefore there will be a greater tendency to the influx of air through the furnace bars as well as through the other apertures. The use of heated air, however, in preference to cold air, is far more likely to prevent any loss by the passing of air in an uncombined state through the flues. When cold air is used, this result is not unlikely to * Some interesting researches by M. Ebelmen, on the appli- cation of the carbonic oxide from blast furnaces to useful purposes, have shown that the loss of effect by the escape of the carbonic oxide amounts to 62 per cent, of the total quantity of fuel consumed in blast furnaces. Repertory of Arts, vol. xviii. (1842), pp. 116-313. 438 COMBUSTION OF COAL. occur ; for gases, at temperatures differing consider- ably from each other, mix together very slowly ; and therefore it may often happen that by introducing cold air into a furnace, the mixture of the air with the gases will not take place until they have passed into the flues, and the temperature becomes too much reduced to cause their accension. (490.) The practical result of these remarks is, that there are many effectual contrivances for the combustion of smoke, combining the advantage of great economy of fuel. For this purpose, the more simple the apparatus the better ; and with a very slight degree of attention on the part of the firemen, several of the plans which have been described would be certain to succeed in abating the nuisance of smoke entirely, and with con- siderable economy in the consumption of fuel. The saving in fuel would necessarily be very considerable. In very few furnaces the saving would be not less than twenty-five per cent. ; and in many which now produce large volumes of smoke the saving would be considerably greater. A large amount of the present evil of smoke arises from most furnaces being overworked, in con- sequence of their being too small for the duty required from them. But, with a moderate degree of attention on the part of the firemen, the pre- sent furnaces, with a very slight alteration, could be made effectually to burn their smoke ; and the most effectual way would be to combine the plan of delivering air through numerous small openings made in the inner plate of the furnace door (sup- plied by one or two large openings in the outer door covered with a slide) ; and also by allowing a further quantity of air to pass to the bridge through pipes laid along the furnace bed. For small furnaces either of these plans singly will suffice ; but for larger furnaces the best effect will re- COMBUSTION OF COAL. 439 suit from the two modes conjointly. Means must be taken to stop off a portion of the air at certain stages of the combustion, or there will be more air admitted than will be desirable. Both these plans have long been in use, many years prior to the date of any existing patents ; and the necessary altera- tions to adapt them to ordinary furnaces need not involve anything beyond a very moderate expense. (491.) Before concluding these remarks, a few words on artificial fuels may not be amiss. A great number of patents have been obtained for forming artificial fuel, the principle of them all being to combine the small and refuse coal into a solid body. As early as 1799, a patent was obtained by M. Chabannes for this purpose, and it is difficult to discover in what this patent differs from the various subsequent and recent ones for the same object. The principal ingredients used in all these com- positions are coal-dust, coke, peat, bark, saw-dust, tan, clay, sand, pitch, coal-tar, alum, nitre, vegetable matter, and animal excrement. Different persons combine these substances in different proportions, and some omit altogether certain of these ingre- dients. A very powerful and efficient fuel can be composed by mixtures of these substances ; and it appears by some experiments reported by Dr. Buckland to the British Scientific Association,* that when tried against Welsh coal, Pontop coal, and Wylam Main coal, the artificial compound was found to be very considerably more powerful in heating effect than either of these coals. These compound fuels, however, are subject to one incon- venience when used by themselves in furnaces ; that the coal tar is very liable to distil from the fuel without being consumed, in which case it clogs up the furnace bars, and partially stops the due admis- sion of air. When it is used with a certain propor- * Report of British Scientific Association, vol. vii. (1838), p. 85. 440 COMBUSTION OF COAL. tion of ordinary coal, this inconvenience is less likely to occur, and probably with moderate care it may be avoided. And these methods of combining refuse coal, which must otherwise be nearly value- less, may in many places be most efficiently applied to obtaining a powerful and useful fuel at a moderate expense. 44] APPENDIX. TABLE I. Table of the Expansive Force of Steam in Atmospheres, and in Ibs. per square inch ; for Temperatures above 212 of Fahrenheit. N.B. The steam is supposed to be in contact with the water from which it is formed, and the water and steam to be alike in temperature. Pressure. 8 Pressure. Pressure. "3 Pressure. ii 5j a i IN i If i 1| t SI 1 Ibs. ! 1 Ibs. .S-3 1 Ibs. fll Ibs. r I r 3 r 1 I ! 212 216 i 15 16-5 351 359 9 10 135 150 487 499 40 45 600 675 663 170 671 180 2550 2700 220 17-7 367 11 165 511 50 750 679 190 2850 225 19-5 374 12 180 521 55 825 686 200 3000 230 21-5 381 13 195 531 60 900 694 210 3150 235 23-6 387 14 210 540 65 975 700 220 3800 240 25-8 393 15 225 549 70 1050 707 230 3450 245 28-1 399 16 240 557 75 1125 713 '240 3600 250 2 30-9 404 17 255 565 80 1200 719 250 3750 255 33-6 409 18 270 572 85 1275 726 1260 3900 260 36-1 414 19 285 579 90 1350 731 270 4050 265 39-0 418 20 300 586 95 1425 737 280 4200 270 43-1 423 21 315 592 100 1500 742 290 4350 275 3 45-0 427 22 330 605 110 1650 748 300 4500 294 4 60 431 23 345 616 120 1800 753 310 4650 308 5 75 436 24 360 627 130 1950 758 !320 4800 320 6 90 439 25 375 636 140 2100 763 330 4950 332 7 105 457 30 450 646 150 2250 768 340 5100 342 8 120 473 35 525 655 160 2400 772 350 5250 %* The pressures above three atmospheres in the above Table are deduced from the experiments of MM. Dulong and Arago. Their calculations extend only as far as 50 atmospheres ; from thence the pressures are now calculated to 350 atmo- spheres by their formula, viz. : t = el where e represents the pressure in atmospheres, and t the tern- 442 APPENDIX. perature above 100 of Centigrade. In this equation each 100 of Centigrade is represented by unity. In reducing these temperatures from Centigrade to Fahren- heit's scale, where the fractions amount to '5, they have been taken as the next degree above, and all fractions below 5 have been rejected. More than twenty different formulae for this purpose are given in the Encyclopedia Britannica, art. Steam. TABLE H. Table of the quantity of Vapour contained in Atmospheric Air, at different Temperatures, when saturated. s S ]s If "8 Ill I 1 & ! r It 1 I 1 1 20 1-52 48 3-94 76 9-38 22 1-64 50 4-19 78 9-99 24 1-76 52 4-46 80 10-59 26 1-89 54 4-77 82 11-29 28 2-03 56 5-C6 84 11-98 30 2-16 58 5-40 86 12-68 32 2-31 60 5-76 88 13-36 34 2-43 62 6-12 90 14-15 36 2-62 64 6-50 92 14-93 38 2-80 66 6-91 94 15-81 40 2-99 68 7-31 96 16-76 42 3-21 70 7-77 98 17-83 44 3-45 72 8-27 100 19-00 46 3-69 74 8-80 %* The above Table is computed from Dr. Dalton's experi- ments on the Elastic Force of Vapour. The weight of a cubic foot of steam, at the pressure of 30 inches of mercury, is 257-119 grains ; therefore at any other pressure p, the weight will be p -^, = a/. But as vapours ex- pand | 7 for each degree of Fahrenheit, this equation must be corrected for the difference in the expansion of the vapour at the temperature of 212, and the temperature p, in the pre- APPENDIX. 443 ceding equation. Therefore, the volume of the vapour at the temperature j?, will be 1 -f- JTTK j the volume at 212, being 480 212 1 + -- = 1 441, when the volume is assumed to be unity at zero. The weight of a cubic foot of vapour will therefore be 1-441 x x TABLE HI. Table of the Expansion of Air and other Gases by Heat, when perfectly free from Vapour. Temperature, Fahrenheit's Expansion. Temperature, Fahrenheit's Expansion. Scale. Scale. 32 1000 100 1152 35 1007 110 1178 40 1021 120 1194 45 1032 130 1215 50 1043 140 1235 55 1055 150 1255 60 1066 160 1275 65 1077 170 1295 70 1089 180 1315 75 1099 190 1334 80 1110 200 1354 85 1121 210 1372 90 1132 212 1376 95 1142 %* The above numbers are obtained from Dr. Dalton's experiments, which give an average of ^^ part, or 00207 for the expansion by each degree of Fahrenheit. Gay Lussac found it to be equal to -^ part, or 002083 for each degree of Fahrenheit; and that the same law extends to condeusible vapours when excluded from contact of the liquids which produce them. Professor Daniell (Chemical Philosophy, p. 90) makes the expansion of air equal to 373 for 180 of Fahren- heit : and in the Parliamentary Eeport " On Warming and Ventilating Dwellings, 1857," the expansion of air by 180 Fahrenheit is stated to be '366 of its volume. Eegnault (Ann. de Chimie) gives the expansion at -00203 for each degree of Fahrenheit, or 3654 for 180. 444 APPENDIX. TABLE IV. Table of the Specific Gravity and Expansion of Water at different Temperatures. Temperature, Fahrenheit's Scale. Expansion. Specific Gravity. Weight of 1 Cubic Inch, in Grains. Temperature, Fahrenheit's Scale. Expansion. 1 Specific Gravity. Weight of 1 Cubic Inch, in Grains. 30 00017 9998 252-714 121 01236 9878 249-677 32 00010 9999 252-734 124 01319 9870 249-473 34 00005 9999 252-745 127 01403 9861 249-265 36 00004 9999 252-753 130 01490 9853 249-053 38 000002 9999 252-758 133 01578 9844 248-836 39 00000 0000 252-759 136 01668 9836 248-615 43 00003 9999 252-750 139 01760 9827 248-391 46 00010 9999 252-734 142 01853 9818 248-163 49 00021 9997 252-704 145 01947 9809 247-931 52 00036 9996 252-667 148 02043 9799 247-697 55 00054 9994 252-621 151 02141 9790 247-459 58 00076 9992 252-566 154 02240 9780 247-219 61 00101 9989 252-502 157 02340 9771 246-976 64 00130 9986 252-429 160 02441 9760 246-707 67 00163 9983 252-349 163 02543 9751 246-483 70 00198 9981 252-285 166 02647 9741 246-233 73 00237 9976 252-162 169 02751 9731 245-982 76 00278 9972 252-058 172 02856 9721 245-729 79 00323 9967 251-945 175 02962 9711 245-474 82 00371 9963 251-825 178 03068 9701 245-218 85 00422 9958 251-698 181 .03176 9691 244-962 88 00476 9952 251-564 184 03284 9681 244-704 91 00533 9947 251-422 187 -03392 9671 244-446 94 00592 9941 251-275 190 03501 9660 244-187 97 00654 9935 251-121 193 03610 9650 243-928 100 00718 9928 250-960 196 03720 9640 243-669 103 00785 9922 250-794 199 03829 9630 243-410 106 00855 9915 250-621 202 03939 9619 243-151 109 00927 9908 250-443 205 04049 9609 242-893 112 01001 9901 250-259 208 04159 9599 242-635 115 01077 9893 250-070 212 04306 9585 242-293 118 01156 9885 249-876 %* In the above Table the expansions are calculated by Dr. Young's formula, 22 / 2 (1 - 002 /) in 10 millionths. The diminution of specific gravity is calculated by this equation : 0000022 /2- -00000000472 / 3 . In both equations / repre- sents the number of degrees above or below 39 of Fahrenheit. The absolute weight of a cubic inch of water, at any tempera- ture, may be found by multiplying the weight of a cubic inch at 39, by the specific gravity at the required temperature. Water is 829 times the weight of air; and 13-2 cubic feet of air weigh 1 Ib. There are 437 5 grains in an ounce, and 7000 grains in a pound. APPENDIX. TABLE V. 445 Table of the Specific Heat, Specific Gravity, and Expansion by Heat of different Bodies. Barometer 30 Inches. Thermometer 60. Specific Heat Specific Gravity Weight of 100 Cubic Inches. Linear Expansion by 180 of Heat, from 32 to 212. Of equal Weights, by Berard, Delaroche, and Petit and Dulong. Barometer 30 Inches. Thermo- meter 6&- Air (atmospheric) (dry) .. Apjohn Aqueous vapour Azote 2669 2767 8470 2754 2369 2210 2884 3-2936 4207 2361 1-000 0288 1498 0949 0298 1100 0293 1035 1-000 633 9722 1-5277 1-5277 9722 0694 9722 1-1111 1-000 9-880 7-824 8-396 8-600 8-900 19-250 2-760 2-520 7-248 7-788 11-350 8-279 Grains. 30-519 19 : 058* 29-65 46-596 46*596 29-65 2-118 29-65 33-888 Ounces. 57-87 571-7 452-77 485-87 497-6 515-0 1114-0 159-72 145-83 418'9 450-2 656-8 478-5 1242"-4 605-8 453 : 7 452-31 115-1 353-5 421-9 416-0 00186671 =,ks 00193000 = jig 00172244 = ^ 00146606 = ^ 00081166 =^W 00087572 = TT J nr 00111111 = T i ff 00122045 = JL 00284836 = ,fc. 00228300 = :r U 00099180 =T 00208260 = _j_ 00250800 = ^i 00205800 = ! 00107875 = ^* 00136900 = 31 00217298 = * 00294200 = Jf; oxide of Carbonic acid oxide Hydrogen OlefiantGas .. .. Oxygen Water Bismuth Brass wire Cobalt .. .. '.. .. Copper Gold .. Glass (flint) .. .. (tube) .. .. Iron (cast) -(bar) Lead Nickel Pewter (fine) Platinum Silver Solder (lead 2 + tin 1) Spelter(brass2+zinc 1) Steel (untempered) . . (yellow tempered) Sulphur Tellurium Tin 0314 0557 1880 0912 0514 0927 21-470 10-470 7-840 7-816 1-990 6-115 7-291 7-191 Zinc ** Air is taken as the standard for the specific gravity of the gases, and water as the standard for the solids. The specific heat of gases has been recently investigated by Dr. Apjohn and a somewhat different result obtained. (See London and Edinburgh Philosophical Magazine, vol. xii. 102; xiii. 261, 339.) The expansion in volume may be obtained without sensible error, by trebling the number which expresses the increase in length, where the fraction of its length is small. * Specific gravity of steam at 212 = -481. Weight of 100 cubic inches, 14-879 grains. 446 APPENDIX. TABLE VI. TABLE OF THE EFFECTS OF HEAT. Fahrenheit's Scale. Soft iron melts (Clement and Desormes) . . . 3945 Maximum temperature by Daniell's Pyrometer . . 3280 Cast iron melts . 2786 Gold melts -...-. . - 2016 Copper melts . . 1996 Silver melts 1873 Bronze melts (copper 15 parts, tin 1 part) . . . 1750 Brass melts (copper 3 parts, zinc 1 part) . . .1690 (copper 2 parts, zinc 2 parts) . . .1672 Diamond burns 1552 Bronze melts (copper 7 parts, tin 1 part) . . . 1534 (copper 3 parts, tin 1 part) . . . 1446 Enamel colours burnt 1392 Iron red-hot in daylight 1272 in the twilight 884 in the dark 800 Charcoal burns 802 Heat of a common fire 790 Zinc melts (Davy 680) (Daniell) .... 773 Mercury boils (Black 600) (Crichton 655) (Dalton 660) (Petit and Dulong 656) (Irving 672) (Secondat 644) 660 Linseed oil boils 640 Lowest ignition of iron in the dark .... 635 Lead melts (Guyton and Irving 594) (Crichton) . . 612 Steel becomes dark blue, verging on black . . . 600 a full blue 560 Sulphur burns 560 Steel becomes blue 550 purple 530 brown, with purple spots . . . 510 brown . .- 490 Bismuth melts 476 Steel becomes a full yellow 470 a pale straw colour .... 450 Tin melts 442 Steel becomes a very faint yellow .... 430 Tin 3 -f- lead 2 -j- bismuth 1, melts .... 334 Tin and bismuth, equal parts, melts .... 283 Sulphur melts 218 Bismuth 5 + tin 3 + lead 2, melts . . . .212 APPENDIX. 447 Table of the Effects of Heat (continued}. Water boils (barometer 30 inches) Wax melts ........ Spermaceti melts Tallow melts (Nicholson 127) .... Acetic acid congeals Olive oil congeals ...... Water freezes ....... Milk freezes ........ Vinegar freezes ....... Sea-water freezes .28 Strong wine freezes 20 Oil of turpentine freezes 14 Mercury congeals 39 Sulphuric asther congeals . . . . . . 47 Natural temperature of Hudson's Bay . . . . 51 Greatest artificial cold . ... . -91 Fahrenheit's Scale. . 212 . 149 . 112 . 92 . 50 . 36 . 32 . 30 28 "* See also many other effects of heat in Chapter XII. Part 1. TABLE VII. Table of the Quantity of Water contained in 100 Feet of Pipe, of different Diameters. Diameter of Pipe. Contents of 100 Feet in length. Inches. Gallons. i 84 1 3-39 1* 7-64 2 13-58 34 21-22 3 30-56 4 54-33 5 84-90 6 122-26 448 APPENDIX. TABLE VIII. Table of the Strength, or Cohesive Force, of different Sub- stances. By Mr. GEORGE KENNIE. Bars of six inches long and a quarter of an inch square will break with the following weight suspended lengthways : Ibs. per square inch. Cast Iron (horizontal) . . .1166 equal to 18,656 Ibs. Ditto (vertical) . . . 1218 19,488 Cast Steel (tilted) . . . 8391 Blistered Steel (hammered). . 8322 Shear Steel (ditto) . . 7977 Swedish Iron . . . . 4504 English Iron .... 3492 Hard Gun-metal .... 2273 Wrought Copper (hammered) . 2112 134,256 133,152 127,632 72,064 55,872 36,368 33,792 19,072 17,968 4,736 1,824 Cast Copper .... 1192 Fine Yellow Brass . . .1123 Cast Tin 296 Cast Lead 114 Per Quetelet. Iron Wire, -0769 inches diameter, bears . 432 to 615 Ibs. Copper wire ditto . . 302 to 386 Per Committee of the Franklin Institute.* Iron Wire. l-3rd inch diameter, bears 81,387 Ibs. per square inch, and 14 per cent, less when annealed. Best Cable Iron . . . 59,105 Ibs. per square inch. Ditto ditto (hammer hardened) 71,000 Ibs. Russian Iron .... 76,069 Ibs. Table of the Relative Cohesive Strength of Metals. By SIOKENGEB. Gold 150,955 Silver 190,771 Platinum . . . . " . . 262,361 Copper 304,696 Soft Iron 362,927 Hard Iron 559,880 By MUSCHENBROEK. Copper 6 + Tin 1 . . . . 41,000 Swedish Copper 6 + Malacca Tin 1 . 64,000 Brass 51,000 Block Tin 3 + Lead 1 ... 10,200 Ditto 8 -f Zinc 1 . . . . 10,000 Tin 4 + Regulus of Antimony 1 . . 12,000 Lead 8 -f Zinc 1 4,500 Tin 4 + Lead 1 + Zinc 1 . . . 13,000 For strength of iron, &c., at various temperatures, see Chap. XII., Part 1, APPENDIX. 449 TABLE IX. The following Table of the relative values of various sorts of fuel is compiled from Marcus Bull's Experiments on Fuel. In these experiments all the smoke was consumed. Name. Specific Gravity. Weight per Bushel, Ibs. Relative Heating Value. Hickory Charcoal 625 32-89 166 Cannel Coal .... 1-240 65-25 230 Liverpool Coal .... 1-331 70-04 215 Newcastle Coal .... 1-204 63-35 198 Scotch Coal 1-140 59-99 191 Karthaus Coal .... 1-263 66-46 208 Richmond Coal .... 1-246 65-56 205 Stony Creek Coal . . . 1-396 73-46 243 Maple Charcoal .... Oak Charcoal .... 431 401 22-68 21-10 114 116 Pine Charcoal .... 285 15-0 75 Coke 557 29-31 126 The bushel measure in this Table is much smaller than the English Imperial bushel. 2 G 450 APPENDIX. TABLE X. Velocity of chimney draught at different temperatures, the external air being at 32 Fahrenheit. From Peclet's " Traite de la Chaleur," p. 79. Tempera- ture of Warm Air, Fahrenheit. Relative Velocity. Tempera- ture of Warm Air/ Fahrenheit. Relative Velocity. Tempera- ture of Warm Air, Fahrenheit. Relative Velocity. 86 4-93 356 8-09 608 8-25 104 5-51 374 8-14 662 8-21 122 5-98 392 8-17 752 8-13 140 6-35 410 8-21 842 8-03 158 6-66 428 8-23 932 7-92 176 6-92 446 8-25 1022 7-80 194 7-13 464 8-26 1112 7-62 212 7-33 482 8-27 1202 7-56 230 7-48 500 8-273 1292 7-44 248 7-62 518 8-278 1382 7-33 266 7-73 527 8-279 1472 7-22 284 7-83 536 8-276 1562 7-11 302 7-92 554 8-275 1652 7-00 320 7-98 572 8-27 1742 6-90 338 8-05 590 8-26 1832 6-80 It will be seen from this Table that the velocity of chimney draught diminishes at the extremely high temperatures, in consequence of the very great expansion of the air. INDEX. PAGE ABSORPTIVE power of boilers, experiments on 86 bodies for heat 247 Air always discharged from water . . . . . . . . . . 17 vents, size of . . . . . . . . . . . . . . . . 17 and water, relative weight and velocity of .. .. .. .. 17 vents, necessity for 16,47,164 velocity of, in passing through furnaces . . . . . . . . 91 ., and water, their specific heat compared .. .. 108,113,157 and water, relative heating power of .. .. .. 108,160 ,, quantity required for ventilation .. .. .. .. 110,351 ,, quantity cooled by glass in buildings .. .. .. .. Ill moist and dry, its cooling power and specific heat .. .. 113 quantity that can be heated by iron pipes .. .. .. .. 110 quantity to be warmed per minute in buildings .. .. .. 116 effect produced on, by heated metal . . . . . . . . 145 will only retain a certain quantity of vapour . . . . . . 160 ,, when highly heated, injurious effects of .. .. .. .. 145 small quantity that imbibes moisture from wet surfaces . . .. 190 its effect on evaporation 188,261 currents of, effect on heating apparatus . . . . . . . . 174 heat evolved from, by compression .. .. .. .. .. 261 and water, relative cooling powers of .. .. .. .. .. 255 cooling power at high velocities .. .. .. . .. 277 impure, its effect on human life 319,322 how contaminated in respiration . . . . . . . . . . 333 diminished pressure, its effects . . . . . . . . . . 341 its electric condition, important effects of . . . . . . . . 343 its rate of expansion by heat .. .. .. .. .. 359 its velocity of discharge calculated .. .. .. .. .. 358 dry, its effects on health 326 quantity required for respiration .. .. .. 110,333,350 decomposed matter contained in . . . . . . . 348 its importance philosophically considered^ factitious, its effects on plants quantity discharged through ventilators . . velocity of discharge under pressure hot and cold, its effects on combustion condensed and rarefied, effect on combustion ought to be introduced above the fuel in furnaces 352 354 364 387 414 414 436 size of openings for admission to furnaces.. .. .. .. 437 quantity to produce perfect combustion in furnaces . . 417, 418 Alterations in size of pipes, objectionable .. .. .. .. 54 2 G 2 452 INDEX. PAGE Angle of roof, its effect in cooling .. .. .. .. ..114 Angles, their effect in water pipes . . . . . . . . . . 33 vertical, their effect on circulation .. .. .. .. 33 Animal heat, its effect in public buildings .. .. .. .. 124: life, effect on, by highly heated metallic surfaces .. .. 145 and vegetable life, their relation . . . . . . . . 354: Anthracite coal, its combustion . . . . . . . . . . . . 420 corrosion caused by .. .. .. .. ..421 Arnott, Dr., his stove described 298,306 his stove liable to explosion . . . . . . . . 308 Archimedean screw, its power as a ventilator . . . . . . . . 376 Artificial fuel, composition of 441 Ascending pipes may be smaller than descending . . . . . . 55 should pass to highest point first .. .. .. 170 Atkinson, Mr., early use of hot- water apparatus . . . . . . 5 Atmospheric pressure, column of water equal to .. .. .. 19 Asphyxia from impure air . . . . . . . . . . . . 320 Azote, its effect in coal 403 BACON, MR., early use of hot- water circulation .. .. .. 4 Baths, special arrangements required for heating .. .. .. 1!J4 plunging, how to warm them . . . . . . . . . . 200 Beau*nont, Mr., his method of flues .. .. 315 Bends and elbows, efiect in water pipes . . . . . . . . 33 Bends sometimes advantageous .. .. .. .. .. ..169 Bellows, ventilating, described .. .. .. .. .. 375,471 Bernhardt's hot-air apparatus . . . . . . . . . . . . 227 Biot, M., his experiments on sonorous bodies . . . . . . . . 27 Boiler, description of what forms a good one . . . . . . 70, 83 various forms described .. .. .. .. ..' .. 71 heated by gas described 73 surface, calculation of heating power .. .. .. 78,81,198 Boi ers, useful formula for calculating power of . . . . 79, 81 their capacity considered .. ., 70 surface for a given length of pipe . . . . . . . . 82 how to judge their relative merits . . . . . . . . 83 rapidly destroyed by impure fuel . . . . . . . . 87 surface, their proportion to the furnace bars .. .. 81,92 pressure on, by increased height of pipes .. .. .. 20 for hot water, not liable to burst .. .. .. .. 21 as used in Scotch distilleries 83 effect of projections on their surface . . . . . . . . 85 absorptive power of fire and water surfaces . . 75 .. 95 .. 183 .. 135 4 of small capacity, effect of various methods of setting them Boiled water easily freezes Boiling point of water at different pressures Bonnemain, M., first used hot-water circulation Bottom heat in hothouses, remarks on .. .. .. .. ..155 Boyle's ventilator described .. .. .. .. .. .. 382 Branch pipes, any number may be used .. .. .. .. 21 difficulty when heights vary 57,170 how to secure circulation in . . . . . . . . 58 Buildings, various, proper sizes of pipes for . . . . . . . . 69 quantity of pipe required to heat .. .. .. 116,123 time required to heat 121 early methods of heating 283 Bursting of pipes by frost prevented 182 INDEX. 453 CALCIUM of lime prevents water freezing Carbon, quantity exhaled from the lungs Carbonic oxide, its effect and loss of heat in furnaces its dangerous effects heat of, in blast furnaces Low formed effect of breathing, fatal acid, its effects on respiration .. quantity produced in combustion exhaled by respiration . . . . effect of breathing temperature at which it is formed its effects in preventing combustion . . Carburetted hydrogen, effect of breathing Carson's ventilator Cause of circulation in hot- water apparatus Cements for joints of pipes .. Centigrade thermometer, its relative scale Chabannes, Marquis, hot-water apparatus used by Chambers or vaults, loss of heat in Chimneys, rules for size of Churches, quantity of pipe to heat cause of draughts in .. Chimney cowls, action of.. Chimneys, earliest invention of .. Circulation of water known to the Romans how to be calculated affected by vertical angles obstructions to through different floors .. into different branch pipes length of reversed, cause of ,, how stopped by cocks and valves how regulated by cisterns . . of water, cause of ,, increased by height of liquids affected by light and sound of water, how increased in hot-water pipes ,, when there are dips in the pipes below bottom of boiler is sometimes reversed ,, through pipes, length of .. ,, affected by alterations in size of pipes the motive power calculated Cisterns for regulating the circulation . expansion and supply increasing circulation Climate, its effect on longevity . . Coal, its heating power estimated quantity required to warm any building., quantity consumed in a steam apparatus quantity burned per square foot of furnace bars its cost compared with heating by gas . . its early use in England Table of its analyses loss of effect by the escape of smoke heat produced by different qualities FAGE .. 185 .. 339 103, 410 335, 34J .. 411 335, 349 .. 334 .. 417 .. 331 .. 334 .. 410 .. 418 .. 348 10 179 237 4,44 174 103 123 362 381 5 .. 31 35 36 .. 170 .. 172 .. 46 .. 45 .. 59 .. 61 10 18,28 .. 27 28,35 39, lt>8 .. 48 .. 45 .. 46 .. 55 .. 25 61 49 43, 167 .. 322 106, 406 .. 129 .. 209 92 . 312 401 408 420 454 INDEX. .. 405 .. 417 .. 418 .. 219 222, 303 60 147 197 170 406 111 264 243 91 410 405 414 Coal and coke, their relative heating power .. .. ,. quantity of air required for its combustion theory of its combustion Cockle stoves, Sylvester's ,. heating power'of Cocks for stopping pipes, their size and position Coffey, J. A., patent for circulating mineral oil at high peratures Coil, length that will heat a certain quantity of water Coils, mode of connecting to main pipes Coke, its effect compared with coal Cold, intense, not accompanied with high wind produced by rarefied air .. .. .. Colour, effect on radiation of heat .. .. .. .. Combustion of fuel regulated by size of furnace bars . . . . - temperature of active of smoke Davy, Sir Humphry, experiments on depends on quantity of air admitted . . . . . . 103 quantity of air required for combustion of coal . . . . 417 Compression of water, extremely small . . . . . . . . . . 21 Condensed water in steam pipes, effect of . . . . . . . . 203 valve for saving . . . . . . . . . . 215 steam, how to prevent noise from . . . . . . . . 197 Conduction of heat, its proportion to radiation . . . . . . 236-241 Conducting power of water and air . . . . . . . . . . 255 various substances .. .. .. ., .. 249 Connection pipes, proper size for .. 54 Consumption of fuel in furnaces . . . . . . . . . . . . 89 Contamination of air by breathing and animal exhalations . . . . 330 Cooling of heated surfaces, relative rate of . . . . . . . . 67 velocity of, at high temperature . . . . . . . . 241 relative velocity of hot-water and steam pipes . . . . 65 relative power of air and water .. .. .. .. 255 of iron pipes, experiments on 68, 273 of glass surfaces, experiments on . . . . . . . . 274 power of wind . . . . . . . . . . , . . . 277 of bodies in air and in vacuo . . . . . . . . . . 237 Copper boilers, injury by particular fuels . . . . . . 86, 421 its strength affected by heat 269 Cowls for ventilating, their action explained . . . . . . . . 379 experiments 381 Crystallization of iron decreases its strength .. .. .. .. 141 Cretinism produced by bad air . . . . . . . . . . . . 321 Cundy's fireclay stove . . . . . . . . . . . . . . 301 Currents of air, their effect on heating apparatus .. .. .. 174 in liquids affected by light and sound . . . . . . 27 Cutler's Torch stove 297 D ALTON, Dr., experiments on vaporization .. .. .. .. 159 Damp walls, their cooling effect .. .. .. .. .. .. 122 Daniell, Professor, experiments on evaporation . . . . . . 261 Davy, Sir H., experiments on combustion .. .. .. .. 414 Deaths, comparative, in different localities . . . . . . 322, 324 Deposit in boilers from hard water .. .. .. .. ..180 Dew-point, mode of ascertaining .. .. .. .. .. 263,328 its effect on health 328 Descent of pipes below bottom of boilers . . . . . . . . 43 INDEX. 455 PAGE Discharge of air from pipes ........ . 16,17 35,168 .. 39 .. 168 39, 168 33 Dip-pipes below doorways their depth ascertained . . . , ,, may sometimes be made smaller Dip in pipes affects the circulation Discharge of water through pipes, theory of . . Doorways, mode of passing under Double-doors for furnaces, used by Count Eumford Drains or trenches for containing hot-water pipes .. . .. 173 Drainage, its effects on mortality . . . . . . . . . 325 Draughts in churches, cause of . . . . . . . . . . . . 362 Dry air, its effects on health 327 Drying-rooms, quantity of pipe required for .. .. .. 126,191 . how moisture evaporated from . . . . . . . . 190 necessity for ventilating 188 Dumb plate, its use in furnaces . . . . . . . . . . . . 90 Dutrochet, M., his experiments on light and sound as affecting circulation of water . . . . . . . . . . . . . . 27 Dwelling-rooms, quantity of pipe required to heat .. .. .. 125 EARLY method of using hot-water circulation .. .. .. 5, 157 methods of warming buildings .. .. .. .. .. 283 Eckstein and Busby's rotary float circulator . . . . . . . . 149 Effect of alteration in size of pipes . . . . . . ' . . . . 55 Efflux of air under pressure . . . . . . . . . . . . 387 of fluids affected by heat 266 Elasticity of air, its effect on conduction of heat 236 Electric condition of the air, important effects of . . . . . . 344 Elbows and bends, effect of, in water pipes 33 Elongation and expansion of pipes .. .. .. .. 50,169 how compensated .. .. ., 169 Endosmose and exosmose, what . . . . . . . . . . . . 364 Evaporation of water by highly-heated metals 76 in drying-rooms .. .. .. .. .. .. 190 its laws determined 159,261 its velocity and quantity ascertained .. .. .. 189 is produced at all temperatures .. .. .. .. 261 Expansion and supply cisterns, size of . . . . . . . . . . 49 of pipes .. 50,169 Experiments on cooling iron pipes .. .. .. ..' .. 272 on cooling .. .. .. .. .. .. .. 273 Explosion of Arnott's stoves .. .. .. .. .. .. 307 FALLIXG bodies, their velocity calculated 31,358,387 Fans for ventilating described 373 power required to work . . . . . . . . . . . . 375 Flue and fire surface of boilers, heating power of . . . . . . 78 Flues, early use of, by the Eomans .. .. .. .. .. 281 their construction considered Fluids, conducting power of . . . . . . . . . . . . 254 pressure of, the law explained .. .. .. .. 19 Franklin's stove described 296,309 Freezing of hot- water pipes, how prevented .. .. .. 183,185 Friction of water through pipes 33,52 Furnaces, their construction considered . . . . . . . 94 temperature of . . consume fuel proportional to air admitted .. .. .. 91 large advantage of 89,101 456 INDEX. Furnaces, general temperature of 92 numerous patents described .. 422,432 Furnace bars, proper size of .. .. .. .. .. 81,92 their form and depth . . . . . . . . . . 93 thin, their great durability 94 size of, for steam boilers .. .. .. .. .. 210 Fuel, destructive effect when impure . . . . . . . . . . 86 thickness of, in furnaces 103 quantity burned on a square foot of bars .. .. .. 91 economy of, affected by extent of boiler surface . . . . 70 artificial, the composition of . . . . . . . . . . 441 GAS-BOILERS, cost of heating them stoves described Gases deleterious, their effect on animal life . . on vegetable life Gauges for steam boilers Glass, experiments on rate of cooling . . cooling effect of, on air roofs, effects of their angular elevation . . Goitre produced by bad air Greenhouses, quantity of pipe required to heat Gratings for drains or trenches, size of Gurney's hot-air stoves .. HALLS, quantity of pipe required to heat Hard water not good for hot-water apparatus Hawkesley's ventilator described Hazard's hot-air apparatus Healthiness of troops in different countries Heat, rate at which it is given out by pipes radiant, its effect on boilers ,, obtainable from coal, estimated . . its effect on the strength of iron . . quantity requisite for different buildings in steam and hot water, relative effect . . latent contained in steam specific, estimate of absorption of, affected by colour simple, how influenced by colour Melloni's experiments on latent, theory of affects the velocity of efflux conducting power of different substances specific, of different substances .. produced by condensed air increases the fluency of liquids . . its effect on the strength of metals from human beings, its quantity estimated from condensed vapour from different qualities of coal regulator, Dr. Ure's Heated bodies, how they become cooled ., air, its effect on health .. Heating, rate of, by different-sized pipes power of iron pipes different floors, failure in aults 74, 311 .. 310 .. 348 .. 353 .. 212 .. 274 .. Ill .. 114 .. 321 .. 126 .. 173 .. 224 . 125 .. 180 .. 381 .. 226 .. 322 .. 110 .. 84 .. 106 .. 141 .. 173 110,125 65 .. 64 44, 1(18 .. 243 .. 245 .. 246 .. 258 .. 260 .. 249 .. 256 .. 264 .. 266 .. 2G7 .. 124 .. 160 .. 420 .. 305 .. 240 .. 326 .. 121 .. 109 57, 170 Himalaya ventilator and cowl High -pressure hot- water apparatus pipes, their temperature measured steam does not scald apparatus worked by oil Hot-water apparatus, its permanence of temperature circulation, origin of its discovery ,, pipes, quantity of heat from Hot iron, repulsion of, to water .. Hot-air stoves, their construction and cockles, their heating power and construction r s, reverse action, cause of chambers, ,, apparatus, heating power compared with hot-water Hot-blast apparatus for heating and drying Hot flues, difficulty with horizontal Hothouses, quantity of pipe required to warm Holmes' patent hot-oil apparatus Horizontal pipes at different levels, how to produce circulation in Horizontal main pipes, branches from Houses of Parliament, warming and ventilating of .. early experiments in ventilating Human bodies, quantity of heat from IXDEX. 457 FAGE Heating by gas, relative cost of .. .. .. .. .. .. 74 buildings, early methods of 381 136 138 143 147 63 5 10 110 76 302 220 177 223 231 228 126 147 56 57 368 384 124 Hydrostatic pressure, what .. .. .. .. .. .. 12 Hydrogen gas, effect of breathing .. .. .. .. .. 348 its heating power . . . . . . . . . . 406 Hydratilic experiments referred to . . . . . . . . . . 34 Hygrometric condition of air, its effect on health . . . . 325, 337 Hypocaustum of the Romans . . . . . . . . . . . . 282 IMPUBE air, its effect on human life . . . . . . . . . . 320 Inclination of pipes not necessary .. .. .. .. .. 14 of glass roofs, effect of 115 Increased height affects velocity of circulation . . . . . . 18 Inhabited rooms, quantity of pipe required to warm . . . . . . 125 Iron at high temperatures repulses water .. .. .. .. 76 specific heat of 65 at high temperatures, its strength impaired . . . . 141, 268 the strain it will bear when cold .. .. .. .. ..140 change of structure produced by heat .. .. .. .. 141 crystallization of .. .. .. .. .. .. ,. 142 wrought and cast, effect of oxidation on .. .. .. .. 184 pipes, experiments on the rate of cooling . . . . . . 273 its temperature ascertained by colour . . . . . . . . 138 temperature of its greatest strength .. .. .. 141,265 table of rate of cooling 273,278 JEFFREY'S stove described . . . . . . . . . . . . 295 Jointing pipes, cements for .. .. .. .. .. .. 179 Joyce's charcoal stove . . . . . . . . . . . . . . 313 KEWLEY'S siphon principle of heating buildings . . . . . . 132 LATENT heat of steam 64,259 laws of, and table of effects . . . . . . . . 259 Lead paint, its effect on radiation .. .. .. .. 248,273 458 INDEX. PAGE Length of the circulation of water in pipes . . . . . . . . 46 Light, its effect on the circulation of water . . . . . . . . 27 Lime, quantity contained in water .. - .. .. .. .. 185 Liquids, motion produced in, by sound . . . . . . . . . . 27 their fluency increased by heat . . . . . . . . 266 conducting power of .. .. .. .. .. .. 254 Longevity, relative, of different localities . . . . . . . . 322 Loss of heat by water exposed in pipes .. .. .. ..109 MAIN pipes, proper sizes for . . . . . . . . . . . . 52 difficulty with, when vertical 57 Materials, strength of, affected by heat .. .. ,.. .. .. 207 Mechanical ventilation .. .. .. .. .. .. 3G8 Metals heated, effect in repelling water 76 conducting power for heat . . . . . . . . . . 252 ,, reflective power for heat .. .. .. .. .. .. 256 Mixed temperatures, the result calculated .. .. .. ..199 Moisture, its effect in lowering temperature . . . . . . . . 122 theory of its evaporation .. .. .. .. ..159 ,, deposited on windows, cause of .. .. .. .. 186 Mortality, relative, of different climates 322 Motive power of the circulation . . . . . . . . . . . . 25 how increased .. .. .. .. .. .. 165 NOTT'S hot-air stove 303 OERSTEAD'S experiments on the compression of water . . . . 21, 137 Oil employed as a conductor of heat .. .. . .. .. 147 Oxygen, quantity consumed in respiration effects of deficiency of .. Oxidation of wrought and cast iron, different . . Ozone in the air, its effects on the human body 332 334 184 346 PALMAISE system of heating .. .. .. .. .. .. 316 Pambour, Chevalier, experiments on boilers . . . . . . . . 79 Parkes, Josiah, on conducting and radiating power of iron and water 86 Parkes, Josiah, experiments on supplying furnaces with coal .. 101 the heat obtained from coal . . 107 Patents for combustion of smoke . . . . . . . . . . 422 Permanence of temperature of hot-water apparatus . . . . 63, 66 Perkins's high-pressure hot-water apparatus . . . . . . . . 136 Pipes, how arranged to heat different floors .. .. .. .. 57 small, sometimes used at dips . . . . . . . . . . 168 great strain they will bear .. .. .. .. .. 140 experiments on cooling . . . . . . . . . . . . 273 vertical, relative size of . . , . . . . . . . . , 55 discharge of water through . . . . . . . . . . 33 connecting, size of . . . . . . . . . . . . 54 outlet and inlet, their number .. .. .. .. .. 59 proper size, for different buildings 69 quantity required to heat any quantity of air .. .. .. 110 small pressure on, by running water . . . . . . . 20 number of, does not alter the pressure . . which dip below the horizontal line can descend below bottom of boiler longitudinal expansion of friction of water in 22 23, 39, 168 .. 43 .. 50 33, 52 IXDEX. 459 PAGE Pipes, main, proper proportions for .. .. .. .. .. 52 alteration of size, affects circulation 55 upright, occasional difficulty with , relative rate of cooling for different sizes .. .. .. 63 quantity that can be heated by any boiler .. .. 80,82 quantity of heat they lose per minute .. .. .. 89,109 quantity required to heat any building .. 116, 119, 174 of different sizes, relative time of heating buildings . . . . 121 in drains or trenches, loss of heat by .. .. .. .. 173 in vaults, effects described .. .. .. .. .. 174 methods of jointing 170 Plants, effect of various gases on .. .. .. .. .. 354 Plunging baths, how to heat 200 Pressure of water, how estimated .. .. .. .. '19 on boiler not affected by number of pipes 21 produced by the expansion of water .. .. .. 137 hydrostatic 19 Price, Mr. H. C., his radiating hot-water boxes .. .. .. 153 Projecting surfaces on boilers .. .. .. ,. .. .. 85 Public buildings, quantity of pipe to heat . . . . . . . . 123 RADIANT heat, its peculiar laws 242 how affected by colour 243 its effect on boilers 83 Radiation and conduction of heat, their relative effect . . . . 236 its proportion in the total cooling of pipes ... 173, 243 effect of surface upon 243,246 effect of colour upon . . . . . . . . . . 243 by luminous and non-luminous bodies .. .. .. 245 Rate of cooling for various shaped vessels .. .. .. .. 67 ,, ,, with different sizes of pipes .. .. .. .. 121 Reflection of heat by different substances .. .. .. ..256 Register stove which heats the air . . . . . . . . . . 295 Regulator of heat in furnaces, Dr. Ure's 305 Relative time of cooling for hot-water and steam .. .. .. 65 Rendle, Mr., his tank system .. ..154 Repulsion between hot iron and water . . . . . . . . . . 76 Respiration, experiments on .. .. .. .. .. .. 331 effects produced on atmospheric air . . . . . . 330 Reversed circulation of water .. .. .. .. .. .. 45 Romans, their ancient method of wanning buildings . . . . 282 Rotary float circulator .. .. 149 Roof, effect of high angles of glass 115 Rules for estimating quantity of pipe for different buildings .. 116 Running water, pressure by, on pipes .. .. .. .. .. 20 Rust or oxydati on, different for wrought and cast iron .. .. 184 SALT water does not freeze 183 Salt, quantity contained in sea water 174,184 Safety valves, proper size for .. .. .. .. .. ..212 Scotch distilleries, rapid heating of their boilers .. .. .. 83 Schools, quantity of pipe required to heat .. .. .. ..126 Sediment in boilers, what 180 Siphon principle of hot-water apparatus .. .. .. .. 132 its principle explained .. .. .. .. .. .. 31 Smoke, cause of 405,411 combustion of .. .. .. .. .. .. .. 413 inventions for burning . . . . . . . . . . . . 422 460 INDEX. PAGE Smoke, quantity of heat lost by .. .. .. .. .. .. 408 what are its constituents 413 Specific heat of steam and water 64 of air and water .. .. .. .. .. ... 108 general law of 256 of different substances 258 of dry and damp air compared .. .. .. ..113 Spontaneous evaporation . . . . . . . . . . . . . . 262 Stainton, Mr., his patent for preventing pipes freezing .. .. 185 Steam and water, relative heat and weight .. .. .. .. 64 relative time of cooling . . . . . . . . 65 Steam pipes, proper pressure for . . . . . . . . . . 204 how to calculate the quantity and effect .. .. 205 boilers, how proportioned . . . . . . . . . . 207 best forms for 208 heat not so permanent as hot water .. .. .. ..210 boilers, how supplied with water .. .. .. ..211 latent heat of 259 high-pressure, does not scald . . . . . . . . . . 143 pipes, effect of condensed water in . . . . . . . . 204 boilers, size of, for given quantity of pipe . . . . . . 209 fittings necessary for .. .. .. .. ..211 traps for condensed water .. .. .. .. .. 215 Stephenson, Robt., Ms experiments on boilers .. .. .. 78 Stop cocks, their size 59 Stoves, rules for their construction . . . . . . . . . . 291 Rumford's improvements in . . . . . . . . . . 292 Franklin's 296,308 earliest use of 287 description of 91 Patents for 300 Dr. Arnott's 304 Cutler's torch-stove 297 re-invented by Dr. Arnott .. ..298 Sylvester's improvements in 219,299 Cundy's fireclay 301 Dr. Nott's improvements in . . . . . . . . . . 303 cockle, their heating power estimated .. .. .. .. 303 gas, their construction and cost of burning .. .. .. 310 Joyce's charcoal .. .. .. .. .. .. .. 313 ., earliest writers on . . . . . . . . . . . . 287 with hollow back and sides 291 Stone-float apparatus for steam boilers .. .. .. .. 211 Strength of materials affected by heat 267 Surface of boilers required to heat a given quantity of pipe . . . . 80 the measure of their power . . . . . . . . 78 bodies, the effect on radiation 244,246 Supply cisterns, their size and position . . . . . . . . . . 49 Sulphur, its effect in coal .. .. .. .. .. .. 404 TABLE of motive power of water . . . . . . . . . . 26 of boiler surface to heat pipes . . . . . . . . . . 80 of area of furnace bars . . . . . . . . . . . 93 of quantity of pipe to heat any building .. .. .. 119 of quantity of coal to heat any building .. .. .. 129 of radiating power of different substances . . . . . . 243 of conducting power of different substances . . . . 249, 252 of reflection of heat by different substances . . . . . . 256 INDEX. 461 PAGE Table of specific heat of different substances 257 of latent heat of different substances .. .. .. ..259 of evaporation at all temperatures . . . . . . . . 262 of strength of iron at high temperatures . . . . . . 268 of heat evolved by compression . . . . . . . . 265 of strength of copper at high temperatures .. .. .. 269 of experiments on cooling iron pipes . . . . . . . . 273 of experiments on cooling glass . .. .. .. .. 274 of velocity on cooling at different temperatures . . 237, 240 of cooling power of wind on glass . . . . . . . . 277 of cooling iron plates . . . . . . . . . . . . 279 of quantity of air discharged through ventilators . . . . 364 of analysis of coal 401,402 of expansive force of steam .. .. .. .. ..441 of vapour contained in air . . . . . . . . . . 442 of expansion of gases by heat . . . . . . . . . . 443 of specific gravity and expansion of water . . . . . 444 of general specific gravities and expansions of general effects of heat of quantity of water contained in pipes of cohesive strength of materials Tank system of heating Temperature of ordinary furnaces .. 445 .. 446 .. 447 ... 448 154, 156 91 spring and autumn .. .. .. .. .. 112 the high-pressure hot-water apparatus .. .. 138 hot-air stoves . . . . . . . . . . . . 223 permanence of, how obtained .. .. .. .. 68 gases affected by sound . . . . . . . . 27 perfect combustion . . . . . . . . . . 413 Thermometer of contact, a peculiar one for hot-water pipes . . . . . . . . . . 24 Thermometers, relative scales of 237 Time required to heat buildings 121 Time of cooling pipes containing steam and water . . . . . . 65 Tobin's patent for ventilating . . . . . . . . . . . . 377 Trenches or drains, loss of heat by pipes in . . . . . . . . ] Troughs open for producing moisture .. .. .. .. ..158 UPRIGHT pipes, relative size of 55 Ore, Dr., his heat regulator described 305 his experiments at the Custom House 326 VALVES and cocks, their size, use and position Vapour in the air, laws which regulate . . . . . . . . 159 condensed on windows, cause of . . . . . . . . 187 quantity condensed on cold surfaces .. .. .. .. 188 its formation in drying-rooms .. .. .. .. .. 188 its quantity and rate of production . . . . . . 188, 261 quantity given off from the lungs and skin . . . . . . i of water, qualifies excessive heat . . . . . . . . 345 Vase stove, Franklin's 309 Vaults or chambers for heating, loss of heat in . . . . . . 174 Vegetable and animal life, their relation .. .. .. .. 353 life, effect of different gases .. .. 354 Velocity of circulation, how to calculate 31 affected by friction and other causes . . . . 33 of air passing through furnaces .. .. .. .. 91 462 INDEX. PAGE Velocity of air discharged through ventilators . . . . . . 359 wind, its effect in cooling 111,258 circulation increased by height .. .. .. 18,28 Venturi, his experiments on enlargement of pipes . . . . . . 55 Ventsforair 16,47,164 Ventilation, necessity for 187 Tobin's patent for 377 Ventilators, proper size for 354 how to calculate their discharge . . , . . . . . 358 Ventilating flues or channels, size of . . . . . . . . . . 177 Ventilation, quantity of air required for .. .. .. .. 350 rule for calculating . . . . . . .... . . 360 by chimney draughts . . . . . . . . . . 367 by fans and bellows 372 early contrivances for . . . . . . . . . . 318 necessity for, in drying closets . . . . . . . . 188 , quantity of air discharged by .. .. .. .. 364 Vertical main pipes for different floors . . . . . . . . . . 56 ,, how to regulate their action .. ... .. 57 height of pipes, effect on circulation . . . . . . . . 19 angles, their effect on circulation . . . . . . 35, 169 dip pipes, their depth ascertained . . . . . . . . 39 pipes, their relative size . . . . . . . . . . 56 Vis viva, what 24 Vitiated air, effect on animals .. 336 WARMING buildings, early method of 282 Water, cause of circulation .. .. .. .. .. .. 10 weight of, its columnar pressure .. .. .. .. 19 its compression very small .. .. .. .. .. 21 and air, their specific heat compared .. .. .. .. 108 loss of heat per minute, when exposed .. .. .. .. 109 ,, for hot-water apparatus should not be hard .. .. .. 180 quantity evaporated by steam boilers 78, 207 and air, relative cooling powers . . . . . . . . . . 255 heat evolved from, by compression . . . . . . . . 266 boiling, discharges air . . . . . . . . . . . . 17 and air, relative weight and velocity of . . . . . . 17 discharge through pipes, rules for . . . . . . . . 33 circulation below the boiler 43,149 and steam, relative heat of . . . . . . . . . . 64 its pressure dependent on vertical height only . . . . 12 running, its small pressure on sides of pipes . . . . . . 20 circulation of, known to the ancient Romans . . . . . . 5 expansion of, in heating .. .. .. .. .. .. 48 impure, its effects on hot-air apparatus . . . . . . 181 chemical constituents of .. .. .. .. .. .. 182 of different temperatures, effect of mixing .. .. .. 199 repelled by heated metals . . . . . . . . . . 76 quantity that can be heated by 1 Ib. of coal . . . . . . 106 boiling point at different pressures . . . . . . . . 135 expansive force by compression .. .. .. .. ..137 relative conducting power of hot and cold . . . . . . 255 velocity of circulation .. .. .. .. .. .. 31 motion of, in ascending and descending pipes . . . . 34 Water-way of boilers should not be very small . . . . . . 75 INDEX. 463 Weight of a column of water 19 Wind, its effect in cooling glass surfaces 111,274 on hot-water apparatus . . . . . . . . . . 176 Windows, their effect in cooling rooms .. .. .. .. .. 275 Work-room, quantity of pipe required to heat . . . . . . . . 125 Wood, conducting power of 253 method of ancients to prevent smoke from . . . . . . 284 BOOKS RELATING TO APPLIED SCIENCE, PUBLISHED BY E. & F. 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S PENCE, M.I.N.A. 410, sewed, 3-r. 6d. ; or 2 vols., cloth, ^3 loj. SPONS' ENCYCLOPEDIA INDUSTRIAL ARTS, MANUFACTURES, AND COMMERCIAL PRODUCTS. EDITED BY C. G. WARNFORD LOCK, F.L.S. Among the more important of the subjects treated of, are the following : Acids, 207 pp. 220 figs. Fur, 5 pp. Alcohol, 23 pp. 16 figs. Gas, Coal, 8 pp. Photography, 13 pp. 20 figs. Alcoholic Liquors, I T, pp. Gems. Pigments, 9 pp. 6 figs. Alkalies, 89 pp. 78 figs. Glass, 45 pp. 77 figs. Pottery, 46 pp. 57 figs. Alloys. Alum. Graphite, 7 pp. Printing and Engraving, Asphalt. Assaying. Hair, 7 pp. 20 pp. 8 figs. Beverages, 89 pp. 29 figs. Hair Manufactures. Rags. Blacks. Hats, 26 pp. 26 figs. Resinous and Gummy Bleaching Powder, 15 pp. Honey. Hops. Substances, 75 pp. 16 Bleaching, 51 PP- 48 figs. Horn. figs. Candles, 18 pp. 9 figs. Ice, IO pp. 14 figs. Rope, 1 6 pp. 17 figs. Carbon Bisulphide. Indiarubber Manufac- Salt, 31 pp. 23 figs. Celluloid, 9 pp. tures, 23 pp. 17 figs. Silk, 8 pp. Cements. Clay. Ink, 17 pp. Silk Manufactures, 9 pp. Coal-tar Products, 44 pp. Ivory. II figS. 14 figs. Jute Manufactures, 1 1 Skins, 5 pp. Coc )a, 8 pp. pp., u figs. Small Wares, 4 pp. Coffee, 32 pp. 13 figs. Knitted Fabrics Soap and Glycerine, 39 Cork, 8 pp. 17 figs. Hosiery, 15 pp. 13 figs. PP- 45 figs- Cotton Manufactures, 62 Lace, 13 pp. 9 figs. Spices, 16 pp. pp. 57 figs. Drugs, 38 pp. Leather, 28 pp. 3 1 figs. Sponge, 5 pp. Linen Manufactures, 16 ' Starch, 9 pp. 10 figs. Dyeing and Calico pp. 6 figs. Sugar, 155 pp. 134 Printing, 28 pp. 9 figs. Manures, 21 pp. 30 figs. figs- Dyestuffs, 1 6 pp. Electro-Metallurgy, 13 Matches, 17 pp. 38 figs. Mordants, 13 pp. Sulphur. Tannin, 1 8 pp. pp. Narcotics, 47 pp. Tea, 12 pp. Explosives, 22 pp. 33 figs. Nuts, 10 pp. Timber, 13 pp. Feathers. Oils and Fatty Sub- Varnish, 15 pp. Fibrous Substances, 92 stances, 125 pp. Vinegar, 5 pp. pp. 79 figs. Paint. Wax, 5 pp. Floor-cloth, 1 6 pp. 21 Paper, 26 pp. 23 figs. Wool, 2 pp. figs. Paraffin, 8 pp. 6 figs. Woollen Manufactures, Food Preservation, 8 pp. Pearl and Coral, 8 pp. 58 PP- 39 figs- Fruit, 8 pp. Perfumes, 10 pp. London: E. & F. N. SPON, 125, Strand. New York : 12, Cortlanctt Street. Crown 8vo, cloth, with illustrations, 5,?. WORKSHOP RECEIPTS, FIRST SERIES. BY ERNEST SPON. SYNOPSIS OF CONTENTS. Freezing. Fulminates. Furniture Creams, Oils, Polishes, Lacquers, and Pastes. Bookbinding. Bronzes and Bronzing. Candles. Cement. Cleaning. Colourwashing. Concretes. Dipping Acids. Drawing Office Details. Drying Oils. Dynamite. Electro - Metallurgy Glass Making. (Cleaning, Dipping, Glues. Scratch-brushing, Bat- ' Gold. teries, Baths, and Graining. Deposits of every Gums. description). Enamels. Engraving on Wood, Horn Working. Copper, Gold, Silver, : Indiarubber. Steel, and Stone. Etching and Aqua Tint. Firework Making Lacquers. (Rockets, Stars, Rains, Lathing. Gerbes, Jets, Tour- Lubricants. billons, Candles, Fires, Marble Working. Lances,Lights,Wheels, Matches. Fire-balloons, and minor Fireworks). Fluxes. Paper. Paper Hanging. Painting in Oils, in Water Colours, as well as Fresco, House, Trans- parency, Sign, anc Carriage Painting. Frosting, Drilling, Photography. Darkening, Bending, Plastering. Staining, and Paint- Polishes. Pottery (Clays, Bodies, Glazes, Colours, Oils, Stains, Fluxes, Ena- mels, and Lustres). Scouring. Silvering. Soap. Solders. Tanning. Taxidermy. Japans, Japanning, and Tempering Metal Gilding. Glass Cutting, Cleaning, ing. Gun Cotton. Gunpowder. kindred processes. Mortars. Nitro-Glycerine. Oils. Treating Horn, Mother- o'-Pearl, and like sub- stances. Varnishes, Manufacture and Use of. Veneering. Washing. Waterproofing. Welding. Foundry Mixtures. Besides Receipts relating to the lesser Technological matters and processes, such as the manufacture and use of Stencil Plates, Blacking, Crayons, Paste, Putty, Wax, Size, Alloys, Catgut, Tunbridge Ware, Picture Frame and Architectural Mouldings, Compos, Cameos, and others too numerous to mention. London : E. & F. N. SPON, 125, Strand. New York : 12, Cortlandt Street. Crown 8vo, cloth, 485 pages, with illustrations, 5^. WORKSHOP RECEIPTS, SECOND SERIES. BY ROBERT HALDANE. SYNOPSIS OF CONTENTS. Acidimetry and Alkali- metry. Albumen. Alcohol. Alkaloids. Baking-powders. Bitters. Bleaching. Boiler Incrustations. Cements and Lutes. Cleansing. Confectionery. Copying. Disinfectants. Dyeing, Staining, and Colouring. : Essences. Extracts. Fireproofing. Gelatine, Glue, and Size. ' | Glycerine. Gut. Hydrogen peroxide, : Ink. Iodine, lodoform. Isinglass. Ivory substitutes. Leather. Luminous bodies. Magnesia. Matches. Paper. Parchment. Perchloric acid. Potassium oxalate. Preserving. Pigments, Paint, and Painting : embracing the preparation of Pigments, including alumina lakes, blacks (animal, bone, Frankfort, ivory, lamp, sight, soot), blues (antimony, Antwerp, cobalt, caeruleum, Egyptian, manganate, Paris, Peligot, Prussian, smalt, ultramarine), browns (bistre, hinau, sepia, sienna, umber, Vandyke), greens (baryta, Brighton, Brunswick, chrome, cobalt, Douglas, emerald, manganese, mitis, mountain, Prussian, sap, Scheele's, Schweinfurth, titanium, verdigris, zinc), reds (Brazilwood lake, carminated lake, carmine, Cassius purple, cobalt pink, cochineal lake, colco- thar, Indian red, madder lake, red chalk, red lead, vermilion), whites (alum, baryta, Chinese, lead sulphate, white lead by American, Dutch, French, German, Kremnitz, and Pattinson processes, precautions in making, and composition of commercial samples whiting, Wilkinson's white, zinc white), yellows (chrome, gamboge, Naples, orpiment, realgar, yellow lakes) ; Paint (vehicles, testing oils, drier-;, grinding, storing, applying, priming, drying, filling, coats, brushes, surface, water-colours, removing smell, discoloration ; miscellaneous paints cement paint for carton-pierre, copper paint, gold paint, iron paint, lime paints, silicated paints, steatite paint, transparent paints, tungsten paints, window paint, zinc paints) ; Painting (general instructions, proportions of ingredients, measuring paint work ; carriage painting priming paint, best putty, finishing colour, cause of cracking, mixing the paints, oils, driers, and colours, varnishing, importance of washing vehicles, re-varnishing, how to dry paint ; woodwork painting). London : E. & F. N. SPON, 125, Strand. New York : 12, Cortlandt Street. PUBLISHED. In demy Svo, cloth, 600 pages, and 1420 Illustrations, 6s. SPONS' MECHANICS' OWN BOOK; A MANUAL FOR HANDICRAFTSMEN AND AMATEURS. CONTENTS. Mechanical Drawing Casting and Founding in Iron, Brass, Bronze, and other Alloys Forging and Finishing Iron Sheetmetal Working Soldering, Brazing, and Burning Carpentry and Joinery, embracing descriptions of some 400 Woods, over 200 Illustrations of Tools and their uses, Explanations (with Diagrams) of 116 joints and hinges, and Details of Construction of Workshop appliances, rough furniture, Garden and Yard Erections, and House Building Cabinet-Making and Veneering Carving and Fretcutting Upholstery Painting, Graining, and Marbling Staining Furniture, Woods, Floors, and Fittings Gilding, dead and bright, on various grounds Polishing Marble, Metals, and Wood Varnishing Mechanical movements, illustrating contrivances for transmitting motion Turning in Wood and Metals Masonry, embracing Stonework, Brickwork, Terracotta, and Concrete Roofing with Thatch, Tiles, Slates, Felt, Zinc, c. Glazing with and without putty, and lead glazing Plastering and Whitewashing Paper-hanging Gas-fitting Bell-hanging, ordinary and electric Systems Lighting Warming Ventilating Roads, Pavements, and Bridges Hedges, Ditches, and Drains Water Supply and Sanitation Hints on House Construction suited to new countries. _ _ London: E. & F. N. SPON, 126, Strand. New York : 12, Cortlandt Street. UNIVERSITY OF CALIFORNIA LIBRARY - Los Angeles This book is DUE on the last date stamped below. PSTT INTERLIBRARY LOAN! OCT 251979 THREE WEEKS FROM DATE NON Rf.NEW.ABLE Form L9-25m-9,'47(A5618)444 TH 7511 1885 pneftri Library Hood - A-^ractical treatise on warm| buildings by hot wat er, steam.. ... and_ hot 000 351 097 air. ffl 7511 H76p 1885 Bn^necring ybrary AUXII STACK JBL72