Effectiveness of Porosity and Inertia on the Unsteady Flow Between Two Parallel Plates with Heat Transfer Subject to Exponential Decaying Pressure Gradient

The unsteady non Darcian flow in porous medium of a viscous incompressible fluid bounded by two stationery parallel porous plates is studied with heat transfer. A non-Darcy model that obeys the Forchheimer extension is assumed for the characteristics of the porous medium. A uniform suction and injection are applied in the direction normal to the plates while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at constant and different temperatures and the viscous dissipation is not ignored in the energy equation. The effects of the porosity of the medium, inertial effects and the uniform suction and injection velocity on both the velocity and temperature distributions are investigated.