Convective heat transfer of slip liquid flow past horizontal surface within the porous media at constant heat flux boundary conditions

The present work analyzes convective heat transfer of the slip liquid flow past horizontal surface within the porous media at constant heat flux boundary conditions. The proposed model assumes the fluid is a continuum, but employs a slip boundary condition on the wall. By using appropriate similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations containing the Prandtl number and porosity parameter. These ordinary differential equations are solved numerically using a fourth order Runge-Kutta and shooting method. Consequently, the velocity profiles, temperature profiles, the wall shear stress and the local Nusselt number exhibit a dependence on the slip coefficient and permeability of the porous media. It is shown that the velocity adjacent to the wall will be increased by both suction and slip coefficient but different consequence on the wall shear stress will be achieved.