Author/Authors :
Attia، H.A. نويسنده 1\Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, El-Fayoum-63415, Egypt , , Essawy، M.A.I. نويسنده Higher Technological Institute (HTI), 3rd zone, 7th section-P.O Box NO. 4 - 6th of October City, Giza, Egypt , , Khater، A.H. نويسنده Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef-62511, Egypt , , Ramadan، A.A. نويسنده Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef-62511, Egypt ,
Abstract :
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.