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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i9.40
pages 797-809

STARTING SOLUTION FOR AN MHD OLDROYD-B FLUID FLOW THROUGH POROUS SPACE

Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Aqsa Ijaz
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

SINOPSIS

This article deals with the exact solution for the magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid. The fluid is electrically conducting under the influence of a uniform transverse magnetic field and occupies the porous space between two side walls perpendicular to a plane wall. The exact analytical solutions for the velocity and tangential stress fields are obtained by using the Fourier sine and Laplace transforms. The corresponding solutions for the hydrodynamic flow as well as those in the absence of the porous space appear as limiting cases. Moreover, in the absence of the side walls, all solutions reduce to the solutions corresponding to the motion over an infinite plate. Several graphs are sketched to display the effects of various emerging parameters in the presence as well as in the absence of the side walls. In addition, a comparison among different fluids models is provided.


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