Radiation Effect on Free Convection from a Permeable Vertical Plate Embedded in a Non-Darcian Porous Medium
Fayez M. Al-Hussien, Rebhi A. Damesh and Mohammed Q. Al-Odat
Radiation effects on the non-Darcy free convection flow of an optically dense incompressible fluid along an isothermal semi-finite vertical surface embedded in porous medium, with uniform suction are investigated. Forchheimer extension is considered in the flow equations and the Rosseland-approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations are transformed into a dimensionless non-similar form. The obtained non-similar equations are then solved numerically using an implicit finite difference technique. Numerical results for the details of the velocity and temperature profiles have been presented. A parametric study is performed to illustrate the influence of the conduction-radiation parameter, permeability parameter, inertial parameter and surface temperature parameter on the velocity and temperature profiles. Furthermore, the shear stress and the heat transfer rate have been analyzed for various parametric conditions.