Mathematical Problems in Engineering 
Volume 2008 (2008), Article ID 139560, 13 pages
doi:10.1155/2008/139560
Research Article

Unsteady Solutions in a Third-Grade Fluid Filling the Porous Space

T. Hayat,1 H. Mambili-Mamboundou,2 and F. M. Mahomed2

 1Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
2Centre for Differential Equations, Continuum Mechanics, and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, South Africa
Received 28 August 2007; Accepted 15 May 2008

Recommended by Horst Ecker

Abstract

An analysis is made of the unsteady flow of a third-grade fluid in a porous medium. A modified Darcy's law is considered in the flow modelling. Reduction and solutions are obtained by employing similarity and numerical methods. The effects of pertinent parameters on the flow velocity are studied through graphs.