Effects of radiation absorption and aligned magnetic field on unsteady convective flow along a vertical porous plate

In this article, an analysis is carried out to study the effects of aligned magnetic field, radiation absorption and viscous dissipation on the MHD unsteady convective heat and mass transfer flow of a viscous incompressible electrically conducting and heat absorbing fluid along a vertical porous plate embedded in a porous medium with variable temperature and concentration. Approximate solutions for velocity, temperature and concentration are obtained by solving the governing equations of the flow field using multi parameter perturbation technique. The expressions for skin friction, the rate of heat transfer and mass transfer from the plate to the fluid are derived in non-dimensional form. The effects of various flow parameters affecting the flow field are discussed. It is found that the velocity increases with an increasing thermal Grashof number or massGrashof number or permeability parameter or viscous dissipationwhereas it decreases for magnetic field parameter or heat sourceparameteror radiation absorption coefficient or angle φ. The temperature increases for increasing viscous dissipation while it decreases for increasing Prandtl number or radiation absorption coefficient in the presence of heat source parameter. A growing heat source parameter or heat sink parameter retards the temperature.