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Journal of Porous Media

Impact factor: 0.707

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i8.70
pages 789-798

Rotating Disk Flow in a Porous Medium

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

ABSTRACT

In this paper, we present an asymptotic solution to a Navier-Stokes equation of the von Karman type for flow due to a rotating disk in a porous medium. The asymptotic solution is given in the limit as the porosity parameter β tends to zero. Straining of coordinates is used to remove secular terms and enable obtaining expressions that can be used to determine the coefficients of the expansions to any order. A comparison of the asymptotic solution with an exact numerical solution for the governing nonlinear differential equations is presented.