MHD Convective Flow through Vertical Plate in Porous Medium with Variable Properties of Heat and Mass Transfer

Abstract

The present paper concerns with the effects of variable viscosity and thermal conductivity on an unsteady two dimensional laminar flow of a viscous incompressible electrically conductive fluid over a semi infinite vertical plate. The impact of chemical reaction, internal heat generation and Soret effect are considered. The fluid viscosity is assumed as a linear function of temperature. The basic governing non linear partial differential equations are transformed into a system of ordinary differential equations and solved by perturbation technique. Analytical solution deduced here is found to depend on many physical parameters including the Hartmann number M, Prandtl number Pr, Grashof number Gr, modified Grashof number Gm and Schmidt number Sc. The velocity, temperature and concentration fields are graphically discussed to observe the effects of parameters entering in the problem. The expressions for skin friction, Nusselt number and Sherwood number are derived. Finally a thorough discussion of different results is presented.