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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Makinde, O.D., Mhone, P.Y. On Temporal Stability Analysis for Hydromagnetic Flow in a Channel Filled with a Saturated Porous Medium. Flow Turbulence Combust 83, 21–32 (2009). https://doi.org/10.1007/s10494-008-9187-6
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DOI: https://doi.org/10.1007/s10494-008-9187-6