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Journal of Porous Media
Fator do impacto: 1.49 FI de cinco anos: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v11.i5.60
pages 487-495

Time Varying Flow of a Power Law Fluid in a Porous Medium between Parallel Porous Plates with Heat Transfer under an Exponential Decaying Pressure Gradient

Hazem Ali Attia
Department of Mathematics, College of Science, Al-Qasseem University, P.O. Box 237, Buraidah 81999, Kingdom of Saudi Arabia; On leave from: Department of Engineering Mathematics and physics, Faculty of Engineering, El-Fayoum University, El-Fayoum, Egypt


The time-varying flow in a porous medium of a viscous incompressible non-Newtonian power law fluid between two parallel horizontal porous plates is studied with heat transfer under an exponential decaying pressure gradient. A uniform suction and injection through the surface of the plates is applied. The two plates are kept at different but constant temperatures, while the viscous dissipation is taken into consideration. Numerical solutions for the governing nonlinear momentum and energy equations are obtained using finite difference approximations. The effect of the porosity of the medium, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions as well as the dissipation terms are examined.