Ohmic Dissipative MHD Pressure-driven Coupled-flow and Heat Transfer Across a Porous Medium with Thermal Radiation

In this study, a pressure driven flow of a magnetohydrodynamic steady coupled-flow across a porous layer horizontal bottom plate with buoyancy force is investigated. The heat transfer problem is also examined by taking viscous and Ohmic dissipation and radiation effects in the energy equation into consideration. The velocity and temperature slip boundary conditions are taken at the plate and at the interface of the porous medium and clear fluid, it is assumed that velocity components to be continuous and the jump in shearing stresses. The solutions to the problem are obtained by employing fourth order Runge-Kutta scheme along with shooting technique and the effects of the pertinent parameters entrenches in the flow system are shown graphically and quantitatively discussed. The results shows that an increase in the thermal convection and pressure gradient enhances the flow rate in both region but the effect was great at the clear region than the porous medium region.