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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Imprimir: 2151-4798
ISSN On-line: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

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, Bucuresti 050094, Romania

RESUMO

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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