ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

# 多孔介质期刊

DOI: 10.1615/JPorMedia.v14.i9.10
pages 751-760

## MACROSCOPIC ANALYSIS OF FLOW THROUGH A POROUS MEDIUM BETWEEN TWO CIRCULAR CYLINDERS

Abdul Majeed Siddiqui
Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Department of Mathematics, COMSATS Information Technology Center, University Road, Post code 22060, Abbottabad, NWFP Pakistan
A. R. Ansari
Department of Mathematics & Statistics, College of Informatics & Electronics, University of Limerick, Limerick, Ireland
Tahira Haroon
Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

### ABSTRACT

We consider the fully developed, incompressible, steady flow through a porous medium between two coaxial cylinders, where the inner cylinder is stationary and the outer cylinder travels parallel to itself. The flow entry profiles are Poiseuille-Couette combinations. In particular we use the Darcy-Forchheimer-Brinkman equation as the model governing flow through the porous medium. We present an analytical solution of the problem employing the optimal homotopy asymptotic method (OHAM), which has been proved to be successful in tackling nonlinear problems.

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