Effect of Thermophoresis and Heat Source on Unsteady Hydromagnetic Free Convective Fluid Flow Embedded in a Porous Material

Abstract

The present research paper aims to study the Soret effect and Heat source Radiation effect on a Magneto Hydro Dynamics fluid through a vertical fluctuating porous plate. Dimensional non-linear coupled differential equations altered into dimensional less by introducing similarity variables. Time-dependent suction is assumed and the radiative flux is described using the differential approximation for radiation. The Galerkin finite element method is used to sole the equations governing flow. The flow phenomenon has been characterized with the help of flow parameters such as velocity, temperature and concentration profiles for different parameters such as S_c, P_r, M, Q, K, N_r, K_r, G_m, S_o, E_c and G_r. Schmidt number, Prandtl number, Magnetic field, Heat source, Permeability parameter, Thermal radiation, Chemical reaction, Solutal Grashof number, Soret number, Eckert number and Grashof number. The velocity, temperature and concentration are shown graphically. The coefficient of skin-friction, Nusselt number and Sherwood number are shown in tables.