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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i7.70
pages 695-714

Reduction and Solutions for Magnetohydrodynamic Flow of a Sisko Fluid in a Porous Medium

H. Mambili-Mamboundou
Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational & Applied Mathematics, University of the Witwatersrand, Wits 2050, South Africa
Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Fazal Mahmood Mahomed
Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational & Applied Mathematics, University of the Witwatersrand, Wits 2050, South Africa

RÉSUMÉ

This work describes the exact analytic solutions for magnetohydrodynamic (MHD) unidirectional flow of a Sisko fluid in a semi-infinite porous medium. The governing nonlinear differential equation is obtained by employing reduction, and solutions have been developed using the similarity approach. We also present numerical solutions for the reduced equations. The influence of various parameters of interest is shown and discussed through several graphs. A comparison of the present analysis shows excellent agreement between analytic and numerical solutions.


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