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ESCI SJR: 0.376 SNIP: 0.466 CiteScore™: 0.83

ISSN 打印: 2151-4798
ISSN 在线: 2151-562X

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DOI: 10.1615/SpecialTopicsRevPorousMedia.v3.i1.20
pages 13-22

ON THE EXACT SOLUTIONS FOR OSCILLATING FLOW OF A MHD SECOND-GRADE FLUID THROUGH POROUS MEDIA

Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Hashim
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Constantin Fetecau
Academy of Romanian Scientists, Bucharest 050094, Romania; Department of Mathematics, Technical University of Iasi 700050, Romania

ABSTRACT

In this paper we present exact solutions for magnetohydrodynamic (MHD) flow in porous media of an incompressible second-grade fluid. Based on the modified Darcy's law for a second-grade fluid, the equations governing the flow are modelled. An external uniform magnetic field is applied normal to the flow. The expressions for the velocity field, due to the cosine and sine oscillations of the infinite plate, are obtained using the Laplace transformation method. These solutions are presented as a sum of steady-state and transient solutions. By assigning numerical values to various parameters, the integrals encountered are evaluated numerically and presented through several graphs. The corresponding solutions for the hydrodynamic flow as well as those in the absence of porous media appear as limiting cases of the presented results.


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