Dissipation, MHD and Radiation Effects on an Unsteady Convective Heat and Mass Transfer in a Darcy-Forcheimer Porous Medium

Abstract

This study investigates the effects of dissipation, magneto-hydrodynamics and thermal radiation on the natural convective heat and mass transfer of a viscous incompressible, gray absorbing-emitting fluid flowing past an impulsively started moving vertical plate in the Darcy-Forchheimer porous medium. The governing equations for the model are formulated in (${x}^\ast$, ${y}^\ast$, ${t}^\ast$) co-ordinates system with appropriate boundary conditions and the radiative heat flux takes the Rosseland diffusion approximation. The equations are simplified, non-dimensionalized and then solved using the Crank-Nicolsons method. The effects of Magnetic field, dissipation function, radiation-conduction and Forchheimer parameters with thermal Grashof, species Grashof, Prandtl, Schimdt and Darcy numbers are reported on the dimensionless velocity, temperature and species function distributions. Also, the variations of local skin friction, Nusselt and Sherwood numbers are computed.