Finite element solution of thermal radiation effect on unsteady MHD flow past a vertical porous plate with variable suction

Abstract

The paper examined the thermal radiation effect on unsteady megnetohydrodynamic flow past a vertical porous plate with variable suction is analyzed. The non dimensional governing equations are formed with the help of suitable dimensionless governing parameter. The resultant coupled non dimensional governing equations are solved by a finite element method. The velocity, temperature and concentration distributions are derived, discussed numerically and their profiles for various values of physical parameters are shown through graphs. The coefficient of skin-friction, Nusselt number and Sherwood number at the plate are derived, discussed numerically and their numerical values for various values of physical parameters are presented through Tables. It is observed that, when the radiation parameter increases the velocity and temperature increase in the boundary layer. Also, it is found that as increase in the magnetic field leads to decrease in the velocity field and rise in the thermal boundary thickness.