On Temporal Stability Analysis for Hydromagnetic Flow in a Channel Filled with a Saturated Porous Medium |
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Authors: | O. D. Makinde P. Y. Mhone |
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Affiliation: | (1) Faculty of Engineering, Cape Peninsula University of Technology, P. O. Box 1906, Bellville, 7535, South Africa;(2) Applied Mathematics Department, University of Limpopo, Private Bag X1106, Sovenga, 0727, South Africa |
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Abstract: | In this paper, a linear stability analysis is presented to trace the time evolution of an infinitesimal, two-dimensional disturbance imposed on the base flow of an electrically conducting fluid in a channel filled with a saturated porous medium under the influence of a transversely imposed magnetic field. An eigenvalue problem is obtained and solved numerically using the Chebyshev collocation spectral method. The critical Reynolds number Re c, the critical wave number α c and the critical wave speed c c are obtained for a wide range of the porous medium shape factor parameter S and Hartmann number H. It is found that an increase in the magnetic field intensity and a decrease in porous medium permeability have a stabilizing effect on the fluid flow. |
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Keywords: | Porous medium Brinkman model Magnetic field Shape factor Stability analysis Chebyshev collocation method |
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