Effects of Time Dependent Variable Temperature and Concentration Boundary Layer on MHD Free Convection Flow Past a Vertical Porous Plate in the Presence of Thermal Radiation and Chemical Reaction

Abstract

An analytical solution is presented for the case of time dependent variable temperature and variable concentration boundary layer on unsteady MHD free convection flow past a vertical porous plate in the presence of thermal radiation, thermal diffusion and first order chemical reaction. The dimension less governing equations are solved analytically and the expressions for temperature, concentration and velocity fields are determined using the Laplace transform technique. Finally, the influence of various physical parameters on the temperature, concentration and velocity fields is graphically studied and discussed. The expressions for local skin friction, Nusselt number and Sherwood number are derived and discussed with the help of tables. It noticed that Skin friction increase with an increase in magnetic parameter, Prandtl number, radiation parameter and chemical reaction parameter while it decrease with an increase in Grashof number, modified Grashof number, permeability parameter, heat source and Schmidt number. The rate of heat transfer increase with increasing values of Prandtl number and radiation parameter while it decreases with increasing value of heat source. The rate of mass transfer increases with increasing values of Schmidt number and chemical reaction parameter.