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32X
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7
/
Hydraulic Tables.
APPLICABLE FOR WATER PIPES AND SEWERS,
BY E, H, KEATING, HAUFAX, NOV/v SCOTIA.
'h'
TABIiE I.
S=Tho sine of tlio 8lopc=7=tho hyilraulic indiniition in onu foot.
F=The fall in fcot per mile, or tho height in feet duo to friction per
mile of length.
/=The nionn hydraulic inclination:
i=Thc length of tho pipe or sower.
A=The head duo to friction.
For most purposes and where the pipe or sewer is long, h may bo
regarded as the total head. i. i n •
This table was originally prepared— without the colvunn of velocities
—with tlie view to simplify calculations for velocity and discharge by means
of M. DuBuat's formula expressed in Jlnglish inches
V--
in which
306.590 (r ^ - .1032)
— .2906 (r ^ — -1032)
V= the velocity in inches per second.
f = the mean radius or hydraulic depth in inches.
S = the sine of the slope ;
and also to facilitate similar calculations by means of_Mr. Leslie's table of
constants given in Beardniore's Hydrology, whe-e -^ [ is first required to
be found ; and from Mr. Neville's table* for finding tho velocity in fci^ per
second, from the product of the hydraulic mean depths and hydraulic in-
clinations. .
The application of the table for these purposes needs no explanation.
The column of velocities will be found serviceable in detorininiiigthe
velocity and discharge not only tlirough a 12 inch pipe, but— with the aid
of Table 2— those for any pipe or sewer can readily be obtained.
Tho velocities luu'cbcen calculated from DuBuat's formula, as given
above, Avhich reduced for a 12 inch pipe, becomes
499.40
V = — .47
(1)5^-%;. %. (I +1.6)^
The results are in all cases a little less than those given in table via
of Mr. Neville's work, (page 431). This difference will be explained by re-
ferring to that work, (png(> 195). The lornuila used by Mr. ^evllle, in con-
structing his table viii, being
307 (r ^ — -1)
V ^ ^ .3 (r ^ - .1)
(f,) ^ - hyp. log. (I + 1.6) ^
the results from which are stated to be in excess of the true quantities. ^
The inclinations given in the tal)le are from .01 foot per 100 to lo
per 100 feet, which are suflicient to meet all ordinary rc(iuirements.
This table is also particularly adapted to the use of engineers wlio
are in the habit of registering inclinations in feet per 100, as it is only ne-
cessary to remove the deciinal point two places to tho rigbt, in the lirst
column, in order to obtain the corresponding inclination per 100 feet, ino
table, therefore, becomes a useful tab . of gradients, as it gives not only t lo
rise or fall in unity, but tho equivalent inclination hi feet per mile and tlio
distance required to rise or fall one foot.
Seville's Hydraulic Tables, Co-efTicient and Formula, page 220, second edition.
'i
1
1
HydraiUic Tables, Applicable for Water Pipes and
Sewers ; by E. PI. Keating.
i
SLIP
To he insprtod bctweoii pa-res 80 and HI in IIk! "Report of ProoeodingB of
tho Fourth Annual Meeting of the American Wutei- Works Association."
1884.
ERRATA. . ^,
In the heading to tho 3rd column, throughout Table 1.— For ''one inch '
read one in.
On page 85, 2nd column.— For "61.784" read 61.744.
On page 87, 2nd column.— For "9G.G26" road 0G.024.
On page 92, 3rd column of Table 2.— For "1.090" read 1.000.
.0001
.0002
.0003
.0004
.0006
.OOOG
.0007
.0008
.0009
.0010
.0011
.0012
.0013
.0014
.0016
.0018
.0017
.0018
.0019
.0020
.0021
.0022
.0023
.0024
.0025
.0026
.0027
.0028
.0029
.0080
.0031
.0032
.0033
.0034
.0035
.0030
.0037
.0038
.0039
.0040
.0041
.0042
.0043
0.528
1.06(i
1.584
2.112
2.640
8.168
3.696
4.224
4.752
5.280
5.808
6.336
6.864
7.392
7.920
8.448
8.976
9.504
10.032
10.560
11.088
11.616
12.144
12.672
13.200
13.728
14.256
14.784
15.312
15.840
1().368
16.896
1 7.424
17.952
18.480
19.008
19.536
20.064
20.592
21.120
21.648
22.176
22.704
One Inch.
10,000.00
5,000.00
3,333.33
2,500.00
2,000.00
i,(;(;6.67
1,428.57
1,250.00
1,111.11
1,000.00
909.09
833.33
769.23
714.29
666.67
625.00
588.24
555.56
526.32
500.00
476.19
454.56
434.78
416.67
400.00
384.62
370.37
357.14
341.83
333.33
322.68
312.50
303.03
294.12
285.71
277.78
270.27
263.16
256.41
250.00
243.90
23S.10
232.66
100.00
70.71
67.73
50.00
44.72
40.83
37.80
35.36
33.33
31.62
80.15
28.87
27.74
26.73
25.82
25.00
24.26
23.57
22.94
22.30
21.82
21.32
20.85
20.41
20.00
19.61
19.25
18.90
18.57
18.26
17.96
17.68
17.41
17.15
16.90
16.67
16.44
16.22
16.02
15.81
15.62
15.43
15.25
4.76
7.04
8.83
10.86
11.73
12.98
14.16
16.23
16.27
17.26
18.20
19.10
19.98
20.83
21.64
22.46
23.23
24.00
24.74
26.46
26.17
26.86
27.55
28.23
28.89
29.64
30.18
30.82
81.44
82.04
82.64
88.24
33.83
34.43
35.00
35.56
3(;.14
86.69
87.22
87.79
38.30
38.86
39.38
8
Sine of the
Slope =
.0044
.0045
.0040
.0047
.004S
.004'.)
.0060
.0051
.0052
.0068
.0054
.0065
.0056
.0067
.0068
.0069
.0060
.0061
.0062
.0068
.0064
.0065
.0066
.0067
.0068
.0069
.0070
.0071
.0072
.0073
.0074
.0076
.0076
.0077
.0078
.0079
.0080
.0081
.0082
.0083
.0084
.0085
.0086
.0087
.0088
F
Pull
per Mile in
Feet.
Monn
Ilydnuilic
Iiicliiiiitioii
h
[^)
M
VJ
or
One Inch.
23.232
23.760
24.288
24.816
26.344
26.872
26.400
26.928
27.466
27.984
28.612
29.040
29,668
30.096
80.624
31.152
31.680
32.208
32.786
33.264
38.792
34.320
34.848
86.876
35.904
36.482
36.960
37.488
88.016
88.544
39.072
39.600
40.128
40.656
41.184
41.712
42.240
42.768
43.296
48.824
44.852
44.880
45.408
45.936
46.464
227.27
222.22
217.39
212.77
208.83
204.08
200.00
196.08
192.31
188.68
185.19
181.82
178.67
175.44
1 72.41
169.49 '
166.67
168.93
161.29
158.78
156.26
153.85
151.52
149.26
147.06
144.98
142.86
140.85
138.89
136.99
135.14
138.83
181.58
129.87
128.21
126.58
125.00
128.46
121.96
120.48
119.05
117.65
116.28
114.94
113.64
a/T
16.08
14.91
14.75
14.69
14.44
14.29
14.16
14.00
13.87
13.74
1.3.61
13.48
18.36
18.26
13.13
13.02
12.91
12.80
12.70
12.60
12.50
12.40
12.81
12.22
12.18
12.04
11.95
11.87
11.79
11.71
11.63
11.66
11.47
11.40
11.82
11.25
11.18
11.11
11.04
10.98
10.91
10.85
10.78
10.72
10.66
Velocity
in Inches per
Second
in 12" ripe.
39.90
40.43
40 94
41.46
41.96
42.47
42.9(')
48.45
43.96
44.44
44.93
46.42
45.90
46.33
46.82
47.27
47.73
48.25
48.68
49.12
49.57
60.07
60.49
60.94
51.39
61.82
62.26
62.66
53.11
63.52
53.93
54.35
54.83
66.21
65.70
56.09
56.47
66.86
67.33
57.67
58.15
68.49
68.98
59.34
69.77
ft
s
Sine of the
Slope :n=
A
t
K
.008'.)
.OOUO
.00<.)1
.0092
.0003
.0094
,0096
.0091)
.0097
.0098
.0099
.0100
.0101
.0102
.0103
.0104
.0105
.OlOG
.0107
.0108
.0109
.0110
.0111
.0112
.0113
.0114
.0115
.0116
.0117
.0118
.0119
.0120
.0121
.0122
.0123
.0124
.0125
.0126
.0127
.0128
.0129
.0180
.0131
.0132
.0183
F
Fall
per Milo in
Feet.
= /
/
S
Mean
llydniulic
Int'linatiun
/
h
40.992
47.520
48.048
48.576
49.104
49.1)32
50.160
50.688
61.216
51.784
52.272
52.800
53.328
53.856
54.884
54.912
55.440
55.968
56.496
57.024
57.662
58.080
58.608
59.136
59.664
60.192
00.720
61.248
61.776
62.304
62.832
63.360
63.888
64.416
64.944
66.472
66.000
66.528
67.056
67.584
68.112
68.640
69.168
69.696
70.224
^
= V 7
or
One Inch.
112.36
111.11
109.89
108.70
107.63
106.88
106.26
104.17
108.09
102.04
101.01
100.00
99.01
98.04
97.087
96.154
95.238
94.340
93.468
92.693
91.743
90.909
90 090
89.286
88.496
87.719
86.957
86.207
85.470
84.746
84.034
83.333
82.645
81.967
81.301
80.645
80.000
79.866
78.740
78.125
77.519
,76.923
76.336
75.768
75.188
VT
10.60
10.64
10.48
10.43
10.37
10.31
10.26
10.21
10.15
10.10
10.05
10.00
9.96
9.90
9.85
9.80
9.76
9.71
9.67
9.62
9.58
9.68
9.49
9.46
9.41
9.37
9.33
9.29
9.26
9.21
9.17
9.13
9.09
9.05
9.02
8.98
8.94
8.91
8.87
8.84
8.805
8.77
8.74
8.70
8.67
Velocity
in InclicH per
Second
in 12'^ Pipo.
60.14
60.61
60.96
61.26
61.72
62.11
62.61
62.82
68.31
63.66
63.97
64.39
64.81
66.16
66.59
66.94
66.30
66.65
67.02
67.38
67.75
68.12
68.51
68.89
69.18
69.67
69.87
70.27
70.67
70.98
71.38
71.70
72.12
72.64
72.86
73.19
73.62
73.86
74.30
74.61
74.92
75.28
75.64
75.90
76.25
1
8
F
Moiin
Wlocily
Sine of the
Full
Ilydrnulln
1 »
or
in InclioH jxt
Slope =
A
/
per Milo in
Foot.
Inclination
I
h
Vi"
Second
in 12'' Pipe.
One Inch.
.0184
70.752
74.627
8.R4
76.00
.oi;{5
71.280
74.074
8.005
76.94
.01 3()
71.808
73.529
8.57
77.28
.0137
72.33<)
72.993
8.54
77.02
.0138
72.804
72.4(i4
8.51
77.95
.0139
73.392
71.942
8.48
78.29
.0140
78.920
71.429
8.46
78.03
.0141
74.448
70.922
8.42
78.97
.0142
74.976
70.423
8.39
79.31
.0143
76.504
09.930
8.36
79.04
.0144
70.082
69.444
8.33
79.98
.0145
76.560
08.905
8.305
80.32
.0140
77.088
08.493
8.275
80.()0
.0147
77.010
08.027
8.25
81.00
.0148
78.141
07.508
8,22
81.33
.0149
78.072
07.114
8.19
81.07
.0150
79.200
O().O07
8.105
81.99
.0151
79.728
60.225
8.14
82.31
.0162
80.250
05.789
8.11
82.03
• .0153
80.784
05.359
8.085
82.95
.0154
81.312
04.935
8.06
83.27
.0155
81.840
04.510
8.03
83.59
.0150
82.308
64.103
8.005
83.91
.0157
82.890
03.094
7.98
84.23
.0158
83.424
03.291
7.955
84.56
.0159
83.952
62.893
7.93
84.87
.0100
84.480
02.500
7.905
85.19
.0101
85.008
02.112
7.88
85.61
.0102
85.530
01.728
7.855
85.83
.0163
80.004
01.350
7.83
80.15
.0104
80.592
60.970
7.81
86.47
.0106
87.120
G0.t)00
7.785
80.79
.0160
87.648
00.241
7.70
87.11
.0107
88.170
69.880
7.74
87.43
.0108
88.704
59.524
7.716
87.76
.0109
89.232
59.172
7.09
88.07
.0170
89.700
58.8'M
7.07
88.39 •
.0171
90.288
58.480
7.05
88.70
.0172
90.816
.58.140
7.025
89.01
.0173
91.344
57.S03
7.00
89.32
.0174
91.872
57.471
7.58
89.63
.0175
92.400
57.143
7.50
89.94
.0174
92.928
50.818
7.54
90.26
.0177
93.456
50.497
7.515
90.56
.9178
93.984
66.180
7.495
90.87
9
i = J
f f\
8
F
S
Menu
7 ^ - VI
Vcliioity
Sine of tho
Full
Hvtliiuillo
or
in Inciic's per
Slo))o =^
per Mi'io in
Iiu^liiiiition
vr
Second
A
t
Foot.
in 12^' Pipo
OuB Inch.
.017'.)
94,512
55.80G
7.476
91.18
.0180
05.010
55.55(1
7.456
91.49
.0181
<t5.5C,8
55.249
7.48
91.80
.0182
SK'i.O'.tr,
54.045
7.41
92.10
.018;}
{K;.(i25
54.(545
7.89
92.40
.0184
97.152
54.348
7.87
92.70
.0185
97.(180
54.054
7.85
98.00
.018(5
98.208
58.7(')3
7.83
93.80
.0187
98.780
58.470
7.81
93.00
.0188
9'.).2(;4
58.191
7.29
93.90
.01 8«)
0'.>.7*.»2
62.910
7.276
94.20
.01 M
100.820
52.(182
7.255
94 50
.01'.)1
100.848
52.850
7.285
94.80
.011)2
101.87()
52.083
7.216
95.10
.01 '.>S
101.<,i04
51.813
7.20
95.40
.01 '.>4
102.4;;2
51.540
7.18
95.08
.01 •)5
i02.',»(;o
51.282
7.10
95.90
.01 '.)(■)
108.488
51.020
7.146
90 24
.01 '.»7
104.01(5
50.701
7.125
90.52
.01'; 18
104.544
50.506
7.11
90.80
.01<.)0
105.072
50.251
7.09
97.07
.0200
105.(i()0
60.000
7.07
97.27
.0205
108.24
48.780
0.98
99.01
.0210
110.88
47.019
0.90
100 36
.0215
118.52
4(3.512
0.82
101.(39
.0220
11(5.1(1
45.455
0.74
108.08
.0225
118.80
41.444
0.07
104.37
.0280
121.44
48.478
0.59
105.71
.0285
124.08
42.553
0.52
107.05
.0240
12(3.72
41.(307
0.455
108 89
.0245
129.8(1
40.810
0.39
109.73
.0250
182.00
40.000
0.325
111.07
.0255
184.(54
39.210
0.20
112.41
.0200
187.28
38.402
0.20
118.75
.02f,5
139.92
37.730
0.14
115.09
.0270
142.5(1
37.087
0.085
110.43
.0275
145.20
30.804
6.025
117.77
.0280
147.S4
35.714
5.975
119.11
.0285
150.48
35.088
5.92
120.45
.02U0
158.12
34.483
5.87
121.79
.02'.)5
155.7(J
38.898
6.82
128.14
.0800
158.40
3.3.833
5.77
121.38
.0805
1(31.04
32.787
5.726
125.02
.0810
1(33.(18
32.258
5.08
120.80
.0815
100.82
31.740
5.035
128.10
8
s
F
Monn
L] ^ = y^J
Velocity
Sitio of tlio
Full
Ih'<lniiiHc
or
h\ TiiclicH por
Slope -=
per MiUi in
In'diimlion
V-i"
Sl'COlnl
k
i
Foot.
/
A
in 12'^ ripe.
One Inch.
.0320
1 f)8.or)
81.250
6.60
120.84
.0;{25
ni.f.o
80.7«;9
6.66
130.58
.OiiHO
174.24
80.303
6.505
181.82
.Ofja')
17'"..H8
29.H51
6.46
183.0()
.0:!40
17'.).52
29.412
6.425
184.22
.0«45
182.1 (')
28.986
6.38
185.39
.0!550
184.80
28.571
6.345
186.55
.o;',55
187.44
28.169
6.305
187.72
.08(iO
190.08
27.778
6.27
188.88
.0:;<)5
192.72
27.397
6.235
140.04
.0:^70
195.36
27.027
5.20
141.21
.0;i75
198.00
26.667
6.16
142.87
.0880
200.04
26.816
6.13
148.63
.0385
208.28
25.974
5.096
144.70
.03'.t0
205.92
25.641
6.0«)6
145.79
.0306
208.56
25.31()
6.03
146.88
.0400
211.20
25.000
5.00
147.97
.0406
213.84
24.691
4.97
149.06
.0410
216.48
24.390
4.94
150.15
.0415
210.12
24.096
4.91
151.24
.0420
221.76
28.810
4.88
162.88
.0425
224.40
28.629
4.85
158.42
.0430
227.04
23.256
4.82
154.51
.0485
229.68
22.989
4.795
155.59
.0440
232.82
22.727
4.77
156.63
.0445
284.96
22.472
4.74
157.68
.0450
237.60
22.222
4.715
168.73
.0455
240.24
2l'.978
4.69
159.78
.otc.o
242.88
21.739
4.66
160.83
.04()5
245.52
21 .505
4.64
161.87
.0470
248.16
21.277
4.615
162.92
.0475
250.80
21.053
4.59
163.94
.0480
253.44
20.833
4.565
164.97
.0485
256.08
20.619
4.54
166.06
.0490
258.72
20.408
4.52
167.11
.0495
261.86
20.202
4.495
168.16
.0500
264.00
20.000
4.47
169.40
.0510
269.28
19.608
4.43
171.40
.0520
274.56
19.231
4.385
173.40
.0530
279.84
18.868
4.34
175.40
.0540
285.1 2
18.519
4.30
177.40
.0550
290.40
18.182
4.26
179.40
.0560
295.68
17.857
4.225
181.40
.0570
300.96
17.544
4.19
183-40
.0680
806.24
17.241
4.16
185.40
Mi'im
^ w \
s
F
7«-v'/
VolocUy
SiiH! of tho
Full
Ilvdniiillc
.1 J
or
in Int'lu'H i>or
Slope ~
per Mil<( in
liidinution
1 , •
St'COlKl
A
V
Ft't^t.
/
Vi-
hi 12"l'll.o.
Oue lucb.
16.949
16.667
._.. ., . . .-,■
.or,90
.OHOO
!',ll.r.2
iM6.H0
4.116
4.08
187.40
18'.i.40
.0610
822.08
16.898
4.06
191.22
.0(;'20
827.8(1
16.129
4.015
198.01
.0»l:',0
882.64
15.878
8.985
1 '.14.86
.0(140
387.92
15.626
8.96
196.68
.o»ir)0
848.20
15.886
8.92
198.50
.OCifiO
848.48
16.162
8.89
200.82
.0C.70
858.76
1 J.926
8.8B
202.14
.0(580
859.04
14.706
8.83
208.9(5
.0(1', 10
864.82
14,498
8.81
205.78
.0700
360.60
14.286
8.78
207.60
.0710
874.88
14.085
8.75
20'.».29
.0720
880.16
18.8K9
8.78
210.98
.07 ao
385.44
18.699
;5.70
212.67
.0740
890.72
18.614
8.68
214.86
.0760
896.00
18.888
8.66
216.05
.0760
401.28
18.158
8.(58
217.74
.0770
406.66
12.987
3.60
219.4:;
.0780
411.84
12.821
3.58
221.12
.0790
417.12
1 2.658
8.56
222.80
.0800
422.40
12.500
8.54
224.48
.0810
.0820
427.68
482.96
12.846
12.195
8.51
8.49
226.16
227.88
.0880
488.24
12.048
8.47
229.61
.0840
448.52
11.9a5
8.46
231.19
.0860
448.80
11.765
8.48
232.87
.0860
464.08
11.628
8.41
284.64
.0870
469.86
11.494
8.89
286.22
.0880
1 464.64
11.864
8.87
287.89
.0890
469.92
11.286
8.85
239.57
.0900
475.20
11.111
8.88
241.25
.0910
480.48
10.989
8.81
242.90
.0920
485.76
10.870
8.80
244.55
.0980
491.04
10.768
8.28
1 246.20
.0940
496.82
10.688
! 8.26
247.86
.0960
601.60
10.526
8.24
249.41
.0060
606.88
10.417
3.28
j 260.98
.0970
612.16
10.80'.'
8.21
i 262.55
.0980
617.44
10.204
8.194
264.11
.0990
522.72
10.101
8.178
266.68
.1000
528.00
lO.OCK)
8.162
267.24
.1010
688.28
9.901
8.146
268.72
.1020
688.56
9.804
8.180
260.21
.1080
548.84
9.709
3.116
261.70
.1040
649.12
9.615
3.101
268.19
.1050
554.40
9.'J24
8.086
264.68
10
s
F
Mean
1
Velocity
Sine of the
Fall
Hydraulic
in Indies per
Slope —
per Mile in
Inclination
/
7t
VT
Scc( »n<;l
A
I
Feet.
in 12^^ Pipe.
One Inch.
.lOfiO
559.68
9.484
8.071
2C)6.17
.1070
564.9<»
9.346
3.057
267.6(5
.1080
570.24
9.259
3.048
269.15
.1090
576.52
9.174
3.028
270.64
.1100
580.80
9.091
8.015
272.13
.1110
586.08
9.009
3.001
273.60
.1120
591.36
8.929
2.988
275.06
.1130
596.(54
8.850
2.976
276.53
.1140
601.92
8.772
2.961
277.99
.1150
607.20
8.69(5
2.948
279.46
.1160
612.48
8.621
2.936
280.87
.1170
617.76
8.547
2.923
282.29
.1180
623.04
8.475
2.911
283.70
.1190
628.32
8.403
2,898
285.12
.1200
633.t50
8.333
2.886
28(5.53
.1210
638.88
8.2(56
2.874
287.92
.1220
644.16
8.197
2.862
289.:!1
."^30
649.44
8.130
2.861
290.70
.1^40
654.72
8.0(55
2.889
292.09
.1260
6(50.00
8.000
2.828
293.48
.12(50
6(55.28
7.937
2.817
294.8(5
.1270
(570.56
7.874
2.806
29(5.24
.1280
675.84
7.812
2.796
297.(52
.1290
(581.12
7.752
2.784
299.00
.1300
686.40
7.692
2.773
300.:5»
.1310
(591.68
7.634
2.762
301.75
.1320
696.96
7.576
2.752
803.12
.183C
702.24
7.519
2.742
304.49
.1340
707.52
7.463
2.731
805.86
.1350
712.80
7.407
2.721
307.23
.1360
718.08
7.363
2.711
308.55
.1370
723.36
7.299
2.702
309.86
.1880
728.64
7.246
2.692
311.18
.1390
733.92
7.194
2.681
312.49
.1400
739.20
7.148
2.672
813.81
.1410
744.48
7.092
2.663
315.10
.1420
749.76
7.042
2.663
316.39
.1430
755.04
6.993
2.644
317.(58
.1440
760.32
6.944
2.684
318.98
.1450
765.60
6.897
2.626
320.27
.1460
770.88
6.849
2.617
321.53
.1470
776.16
6.803
2.608
822.79
.1480
781.44
6.767
2.600
824.05
.1490
786.72
6.711
2.590
325.31
.1500
792.00
6.667
2.682
326.57
For double the iuclinntion add 40 per cent.
II
TABLE II
i
Is a univcisal taMo, by wliioh — with the ni<l of tabic 1 — tlic volooity and
(lischur^o inav bo readily obtained for any pipe from 1 incli to 12 feet in
diameter, witli any inclination.
The columns of nudtiplier.s for velocity and discharge give respect-
ively the relation between the velocity in a 12 inch pipe and that in other
pipes, and between the velocity in a 12 inch pipe and the discharge in any
pipe whose diameter is given in the table.
The applicatioTi of tlie tables in practice is very simple. Tt is only
necessarj' to multiply the velocity, given in table 1 for a 12 inch pipe, by
the multiplier set opposite to the diameter of the required pipe t)r sewer in
table 2, either for velocity or discharge.
E.Y.vMi'LK 1. — lletpiired the velocity and di>charge through a 10 inch
])ip(' one mile long with a head of 66 feet.
The velocity in a 12 inch pipe by tabic 1 i.« 78.52 inches per second,
and the multiplier for velocity in a 10 inch pipe by table 2 is 0.907o:
73. 62X<^.9075 -66.72 inches per second, the rcfpiired velocity.
For discharge the imdtiplicr by table 2 is 2.474:
78.52X2.474=181.89 cubic feet per minute, the recpiired discharge.
ExAMi'i.K 2. — Jvcquired velocity and discharge through a sower 4 feet
in diameter, falling at the rate of .05 per 100.
From the tables we obtain:
11.78X2.0615-24.18 inches per second, and
11.73Xl-'^-5"lol9 cubic f.-ct per minute.
I
i
TABLE 2.
Pliimctcr.
Areas.
Multipliors
for
Vclocitv.
Multipliers
for
Dii*('lmrge.
1
2
8
4
6
6
7
8
9
10
1—0
1—2
1—3
1—4
1—6
1—8
1—10
2-0
2—2
2—4
2-0
2—8
a—
8—4
8-8
4-0
6-0
(i—
7—0
8-0
10—0
12—0
.005454
.021816
.04000
.0872()
.18685
,10685
.26725
.8400
.4418
.6464
.7864
1.0690
1.8062
1.7671
2.1816
2.6898
3.1416
8.6860
4.2760
4.0087
5.6850
7.0086
8.7266
10.5501
12.5664
10.6850
28.2744
88.484«)
50.2656
78.5400
113.0076
.2450
.8710
.4608
.6514
.6208
.6891
.7470
.8062
.8562
.9076
1.000
1.085
1.164
1.288
1.808
1.875
1.489
1.404
1.560
1.620
1.672
1.777
1.876
1.071
2.061
2.812
2.588
2.746
2.010
3.206
3.615
.0011
.0067
.0406
.1150
.2405
.4229
.6766
.0084
1.406
1.801
2.474
8.027
5.709
6.700
8.127
10.042
14.276
18.157
22.611
27.541
38.352
30.76
46.60
62.80
81.87
104.07
129.62
226.98
85S.86
628.54
780.06
1208.0
2044.4
'„„t ...ior n!'.1.6 ; A<- result, «„ukl tl.orrfore bo, f..r a 4 ':>.(.
i 04X12SI.6X1-0- =M1 <■• "■ I"-'- '"■• ""■" f ." ■
7 3xl"« fiXO--* ==27?. 0. 11. I..T 111., 'Vliim 1 lull.
f.
sower
1
1