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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.i1.80
pages 89-95

HYDROMAGNETIC ROTATING FLOWS OF AN OLDROYD-B FLUID IN A POROUS MEDIUM

Ilyas Khan
Ton Duc Thang University
Kamran Fakhar
Department of Mathematics, Faculty of Science, University Technology Malaysia; Ibnu Sina Institute for Fundamental Science Studies, (UTM)
Muhammad Imran Anwar
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia; Department of Mathematics, Faculty of Science, University of Sargodha UOS, Sargodha, Punjab, Pakistan

RESUMO

In this article we consider the unsteady rotating flow of a magnetohydrodynamic (MHD) Oldroyd-B fluid for both constant and variable accelerated flows in a porous half space. The modified Darcy's law for an Oldroyd-B fluid is employed to model the governing equations. The exact solutions for these governing equations are obtained by employing the Laplace transform technique. The graphs are plotted for different values of dimensionless parameters. It is observed that the velocity field is strongly influenced by the porosity of the medium, applied magnetic field, fluid parameters and angular frequency. As a special case the obtained solutions are reduced to those for a hydrodynamic fluid in a non-porous medium. The corresponding solutions for a hydromagnetic Newtonian fluid in a porous medium are also recovered.


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