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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

97 pages

Issue price - $99.00

Exact Solution for the Magnetohydrodynamic Flows of an Oldroyd-B Fluid through a Porous Medium

Masood Khan
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan

S. B. Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan

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

ABSTRACT

Exact analytical solutions are obtained for the problem of unsteady flows of a magnetohydrodynamic Oldroyd-B fluid through a porous medium between two infinite plates. A modified Darcy's law is used in the flow modeling. The bottom plate moves in the presence of a uniform magnetic field. Graphs have been plotted for the velocity by giving numerical values to the parameters of interest. It is found that the velocity profile increases with an increase of retardation time and permeability, while it decreases as both the relaxation time and the magnetic parameter increase.