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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

2007, Volume10

126 pages

Issue price - $99.00

Influence of a Partial Slip on Flows of a Second Grade Fluid in a Porous Medium

Tasawar Hayat
Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan

S. Asghar
Department of Mathematical Sciences, COMSATS Institute of Information Technology, Islamabad, Pakistan; Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North West University, South Africa

C. M. Khalique
Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North West University, Mmabatho 2735, South Africa

R. Ellahi
Department of Mathematics, Faculty of Applied Science, International Islamic University, Islamabad 44000, Pakistan

ABSTRACT

In this article, exact analytical solutions for general periodic flows of a second grade fluid are obtained in the presence of partial slip and a porous medium. Three types of flow problems are considered. The exact solutions of the flow problems are obtained using Fourier transform treatment. Moreover, some flows generated by certain special oscillations are also included in each case. It is found that the velocity profile is of the wave nature and that amplitude of the wave decreases when the partial slip parameter increases.