NUMERICAL INVESTIGATION OF AN UNSTEADY MIXED CONVECTIVE MASS AND HEAT TRANSFER MHD FLOW WITH SORET EFFECT AND VISCOUS DISSIPATION IN THE PRESENCE OF THERMAL RADIATION AND HEAT SOURCE/SINK

In the present paper an analysis of mixed convection of an unsteady magneto hydrodynamic (MHD) flow of an incompressible viscous fluid through porous media due to a vertical porous stretching sheet in the presence of viscous dissipation, thermal radiation and heat source /sink has been carried out. The fluid considered is viscous and incompressible. The governing partial differential equations of the flow, mass and heat transfer are highly non linear hence are converted into a system of ordinary differential equations using suitable similarity transformations. These ordinary differential equations are further converted into 7 first order ordinary differential equations and are solved numerically by Matlab ode-45 solver via shooting method. The effects of various physical parameters such as magnetic parameter, porous parameter, mixed convection parameter, Eckert number, heat source/sink parameter, unsteady parameter, Soret number, the Prandtl number of the flow, mass and heat transfer characteristics are analyzed and illustrated through graphs.