key: cord-0047470-amvi4h5f authors: Loganathan, K.; Tamilvanan, K.; Viloria, Amelec; Varela, Noel; Lezama, Omar Bonerge Pineda title: Analytical Study of Radiative Casson Nanoliquid Flow with Heat Absorption date: 2020-06-22 journal: Advances in Swarm Intelligence DOI: 10.1007/978-3-030-53956-6_63 sha: 2b3a4817127d3f891c50b91a64d88f691298ab7b doc_id: 47470 cord_uid: amvi4h5f The divergence of thermally radiative MHD flow of a Casson nanofluid over a stretching paper alongside heat absorption. The governing non linear equations are remodeled into a nonlinear ODE’s. The HAM is adopted to find the series solution. The changes of pertinent parameters are analyzed with diagrams and tables. The fluid velocity is controlled by suction and it develops with injection. The local Nusselt number rapidly suppresses with increasing the magnetic field parameter in heat generation case. Most of the engineering and industrial processes depend on heat transfer mechanism, because they have cooling and heating processes. In general, the ordinary fluids are transfer less amount heat because they owing poor thermal conductivity. Various researchers are tried to increase the fluid thermal conductivity in different ways. One of the simplest method is nanosized particles are suspended into an ordinary fluids to raise the fluid thermal conductivity. Applications of nanofluids are investigated by many authors for both the nanofluids with Newtonian or non-Newtonian base with different geometrical shapes. One of the base fluid is Casson fluid and which posses yield stress. After applying the shear stress, Casson fluid performs as a solid when low shear stress and it moves when higher shear stress compared to the yield stress. Example of these fluids are soup, blood, jelly, tomato sauce, etc. Some important studies in this directions are [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] . The boundary points of the above system are: where β (=Casson fluid parameter), σ (=electrical conductivity), ρ (=density of fluid), α T (=thermal diffusivity), C p (=specific heat), D B (= Brownian diffusion), D T (+ thermophoretic diffusion coefficient), Q (=heat absorption/generation coefficient). Consider the transformations: The following ODEs are retreived from the governing system using above transformations, The boundary points of f, θ, φ becomes The surface drag force and heat transfer rate can be defined as: The present nonlinear system was solve through HAM technique. The HAM was computed via MATHEMATICA software. Figure 1 sketched for the convergent solutions of the current study. Appoximation orders of HAM is shown in Table 1 . The examinations are complete for various range of the relevant parameters intricate in this study. It is clear from Fig. 2 the velocity profile enhances for magnetic parameter (M ) whereas it reduces for suction/ injection parameter (f w ). In Fig. 3 temperature (θ(η)) increases for the radiation (Rd), Brownian constant (Nb), heat absorption constant (Hg), thermophoresis constant (Nt) and Casson parameter (β) and it decays for suction/injection parameter (f w ) and Prandtl number (P r). The concentration(φ(η)) rises with higher (β) and Nt but it diminishes with upsurge in (f w ) and Sc (see Fig. 4 ) ( Table 2) . The key features of the present study is given below: -Temperature profile enhances while increasing Rd, Nb, Nt, and Hg. -Casson parameter (β) enhances the concentration and temperature profiles. -Higher range of Prandtl number (P r) deduce the thermal boundary. Second-order slip, cross-diffusion and chemical reaction effects on magneto-convection of Oldroyd-B liquid using Cattaneo-Christov heat flux with convective heating On Cattaneo-Christov heat flux in MHD flow of Oldroyd-B fluid with homogeneous-heterogeneous reactions Soret and Dufour effects on viscoelastic boundary layer flow over a stretchy surface with convective boundary condition with radiation and chemical reaction Amelec Viloria: Heat and mass transmission of an Oldroyd-B nanofluid flow through a stratified medium with swimming of motile gyrotactic microorganisms and nanoparticles An entropy approach of Williamson nanofluid flow with Joule heating and zero nanoparticle mass flux Crossdiffusion effects on MHD mixed convection over a stretching surface in a porous medium with chemical reaction and convective condition Dufour and Soret effects on MHD convection of Oldroyd-B liquid over stretching surface with chemical reaction and radiation using Cattaneo-Christov heat flux Effects of viscous dissipation and convective heating on convection flow of a second-grade liquid over a stretching surface: an analytical and numerical study Impact of 3rd-grade nanofluid flow across a convective surface in the presence of inclined Lorentz force: an approach to entropy optimization Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid