Analytic solution for flow of Sisko fluid through a porous medium |
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Authors: | M Khan Z Abbas T Hayat |
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Institution: | (1) Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan |
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Abstract: | This paper presents the analytic solution for flow of a magnetohydrodynamic (MHD) Sisko fluid through a porous medium. The
non-linear flow problem in a porous medium is formulated by introducing the modified Darcy’s law for Sisko fluid to discuss
the flow in a porous medium. The analytic solutions are obtained using homotopy analysis method (HAM). The obtained analytic
solutions are explicitly expressed by the recurrence relations and can give results for all the appropriate values of material
parameters of the examined fluid. Moreover, the well-known solutions for a Newtonian fluid in non-porous and porous medium
are the limiting cases of our solutions. |
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Keywords: | Sisko fluid Porous medium Analytic solutions |
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