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Journal of Porous Media

ISSN for PRINT: 1091-028X

Institutional price:	$713.00
Issues per year:	8

Best Paper Award Selection - Editorial Board Site

2006, Volume9

130 pages

Issue price - $155.00

Two-Dimensional Viscous Incompressible Flows in a Porous Medium

A. M. Siddiqui
Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA

S. Islam
Department of Mathematics, COMSATS Institute of Information Technology, H-8/1, Islamabad, Pakistan

Q. K. Ghori
COMSATS Institute of Information Technology, 30 H-8/1, Islamabad Pakistan

ABSTRACT

This paper studies two-dimensional incompressible viscous flows in a porous medium under the assumption that viscosity coefficient in the Brinkman modification of Darcy's law is constant. The equations of motion are linearized by taking the local vorticity to be proportional to stream function perturbed by uniform stream. Some new classes of exact analytical solutions of the linearized equations are obtained for both steady and unsteady flows.