Unsteady magneto-hydro-dynamics flow of Jeffrey fluid through porous media with thermal radiation, Hall current and Soret effects

Abstract

In the present paper, Hall current and Soret reaction effects on unsteady natural convection MHD flow with viscous, incompressible, and electrically conducting fluid through a porous medium in the presence of chemical reaction and thermal radiation have been studied. The fluid has considered non-Newtonian fluid, which is Jeffrey fluid. The non-dimensional flow governing equations are solved analytically through the perturbation method, and obtained results of velocity, concentration, and temperature have been analyzed with the help of graphs drawn for different parameters. The numerical values of skin friction, Nusselt number, and Sherwood number have been tabulated. The study's results may find applications related to solar physics dealing with the solar cycle, Magnetohydrodynamics sensors, rotating MHD induction machine energy generators, sunspot development, the structure of rotating magnetic stars, etc. The velocity profiles are observed to increase with an increase in Hall parameters, but reverse effects are found with an increase in viscosity ratio and chemical reaction parameter. The thermal radiation parameter is to increase the temperature profiles, but the reverse effect is observed with an increase in the frequency of oscillations. Further, the concentration is decreased with an increase in the Schmidt number and increased with an increase in the chemical reaction parameter.