On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame |
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Authors: | T. Hayat M. Sajid |
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Affiliation: | a Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan b Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan |
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Abstract: | Analytic solution for unsteady magnetohydrodynamic (MHD) flow is constructed in a rotating non-Newtonian fluid through a porous medium. Constitutive equations for a Maxwell fluid have been taken into consideration. The hydromagnetic flow in the uniformly rotating fluid is generated by a suddenly moved infinite plate in its own plane. Analytic solution of the governing flow problem is obtained by means of the Fourier sine transform. It is shown that the obtained solution satisfies both the associate partial differential equation and the initial and boundary conditions. The solution for a Navier-Stokes fluid is recovered if λ→0. The steady state solution is also obtained for t→∞. |
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Keywords: | 47.10.-g 47.15.-x 47.50.-d |
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