Magnetohydrodynamic Unsteady Convective Flow Past an Infinite Vertical Porous Flat Surface in Presence of Time Dependent Permeability and Heat Source

This paper analyzes the Magnetohydrodynamic unsteady convective flow of a viscous incompressible electrically conducting fluid past a vertical porous plate through a porous medium in presence of time dependent permeability, oscillatory suction and heat source. Employing perturbation technique, the solutions for velocity and temperature field are obtained. The effects of the pertinent parameters on velocity and temperature distribution of the flow field are studied analytically and discussed with the aid of figures for Grashof number, G_r > 0 corresponding to cooling of the plate. It is of interest to note that a growing magnetic parameter decelerates the velocity of the flow field at all points due to the action of Lorentz force on the flow field and an increase in heat source parameter leads to enhance the velocity of the flow field at all points. The effect of growing Grashof number for heat transfer/permeability parameter is to accelerate the velocity of the flow field in presence of heat sink while the effect reverses in presence of heat source, while the effect of increasing Prandtl number is to diminish the temperature of the flow field at all points.