Unsteady Coupled Heat and Mass Transfer by Free Convection from a Vertical Plate Embedded in Porous Media under Impacts of Radiation and Chemical Reaction

This research presented numerical solution for the unsteady natural convection of coupled heat and mass transfer over a vertical plate embedded in a uniform porous medium. Here, the impacts of the thermal radiation and chemical reaction were considered. An explicit finite-difference scheme is used to solve the governing equations. The radiative heat flux was expressed by Roseland approximation in the energy equation. The solutions at each iteration have been obtained to reach the steady state. The graphical form of numerical results is introduced to present the effects of material parameters on the solution. It is found that, the skin-friction coefficient increased as either of the thermal buoyancy, solutal buoyancy, Reynolds number or the inverse thermal radiation parameter increased. The Nusselt number increases due to increases in Prandtl number, thermal buoyancy, solutal buoyancy and Reynold number while it decreases as the permeability parameter, inverse thermal radiation parameter, chemical reaction parameter and the Schmidt number are increase.