Mixed Convection Radiating Flow and Heat Transfer in a Vertical Channel Partially Filled With a Darcy-Forchheimer Porous Substrate

In this study, an analysis has been carried out on mixed convection thermally radiating flow and heat transfer in a vertical channel partially filled with a Darcy-Forchheimer porous substrate of finite thickness attached to one of the walls taking into consideration the effects of permeability, Rosseland radiation and viscous dissipation. The governing equations have been reduced to nonlinear ordinary differential equations by means of dimensional analysis and are solved analytically for some specific values of the non-dimensional governing flow parameters using Adomian Decomposition Method (ADM). The velocity and temperature profiles are assessed and discussed by means of graphs for various values of the pertinent emerging parameters. The shear stress parameters and the heat transfer rates at the walls as well as the velocity and temperature gradients are examined quantitatively. A comparison of the study has been made as a special case, with the more recent published work in the literature which lends itself to favorable agreement. It has been found that these emerging parameters have considerable influence on the flow and heat transfer characteristics.