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Rayleigh problem for a MHD Sisko fluid |
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| Authors: | M Molati T Hayat F Mahomed |
| Institution: | aSchool of Computational and Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa;bDepartment of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan |
| Abstract: | The problem of unsteady unidirectional flow of an incompressible Sisko fluid bounded by a suddenly moved plate is studied. The fluid is magnetohydrodynamic (MHD) in the presence of a time-dependent magnetic field applied transversely to the flow. The non-linear flow problem arising from the laws of momentum, mass and suitable boundary and initial conditions is solved analytically using Lie symmetry method. The manner in which the various emerging parameters affect the structure of the velocity is delineated. |
| Keywords: | Rayleigh problem Sisko fluid Unsteady flow Time-dependent magnetic field Analytic solution |
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