MHD Heat and Mass Transfer Steady Flow of a Convective Fluid Through a Porous Plate in The Presence of Multiple Parameters

Abstract

The main aim of this investigation is to study thermo diffusion, heat source/sink, Joule and chemical effects on heat transfer in MHD mixed convection flow and mass transfer past an infinite vertical plate with ohmic heating and viscous dissipation have been studied. We consider the mixed convection flow of an incompressible and electrically conducting viscous fluid such that x* -axis is taken along the plate in upward direction and y* -axis is normal to it. A transverse constant magnetic field is applied i.e., in the direction of y*-axis. Approximate solutions have been derived for velocity, temperature, concentration profiles, skin friction, rate of heat transfer and rate of mass transfer using perturbation technique. The obtained results are discussed with the help of graphs to observe the effect of various parameters like Grashof number (Gr), the modified Grashof number (Gm), magnetic parameter (M), Permeability parameter(K), Prandtl number (Pr), Heat Sink(Q), Radiation Parameter (F), Soret parameter (S0), Eckert number (E),Schmidt number(Sc) and Chemical reaction parameter(K0) taking two cases viz. Fluid velocity, temperature and concentration profiles are comparison with Pr=0.71(Air) and Pr =7 (Water) various parameters in cooled and heated plates. Case I: when Gr > 0 (flow on cooled plate), and Case II: Gr < 0, (flow on heated plate). Both the fluid velocity and concentration rising with the increment values of Soret parameter in the fluids Air and Water and also discussed skin friction, Nusselt number and Sherwood number in the fluid’s mercury, electrolytic solution, air and water. The novelty of this study is the consideration of simultaneous occurrence of radiation, heat absorption as well as thermo- diffusion in the magnetic field. It varies in several aspects such as non-dimensional parameters, analytical solutions, and graphical solutions, the analytic solution using the Perturbation technique, and numerical solution using Matlab software for the profile.

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“…some impacts were all factors that Manglesh and Gorla [30] considered while studying MHD free convective motion in porous media. The continuous flow of a convective fluid via a porous plate in its occurrence of numerous factors was investigated by Mopuri et al [31] in their MHD transfer of mass and heat study.…”

MHD dissipative flow past a permeable vertical plate in a porous medium in the presence of constant heat, mass flux, and diffusion‐thermo effect

“…Through a semi‐infinite movable plate that has pores, Gurivireddy et al 4 discussed the implications of thermo diffusion regarding an unsteady continuous radiative mass and heat transfer MHD flow when a chemical reaction is present. Mopuri et al 5 have researched the impact of Joule and chemical energy, heat sink, thermo diffusion upon heat transport within MHD combined convection flow, as well as mass transport across an endless perpendicular sheet including dissipation and Ohmic heating of viscosity. Singh et al 6 examined the heat and mass transport nature of $${\mathrm{Ti}}_{6}{\mathrm{Al}}_{4}{\rm{V}} \mbox{-} {{\rm{H}}}_{20}$$‐based nanofluid flow and its interaction with a strong magnetic field.…”