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Benard Convection in a Horizontal Porous Layer Permeated by a Non-Linear Magnetic Fluid under the Influence of Both Magnetic Field and Coriolis Forces |
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PP: 59-77 |
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Author(s) |
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F. M. Allehiany,
A. A. Abdullah,
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Abstract |
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| This work examines the Benard convection of an infinite horizontal layer occupied by
a porous medium permeated by an incompressible, thermally and electrically conducting
viscous fluid heated from below when subjected to both uniform vertical magnetic
field and Coriolis forces. A model proposed by P. H. Roberts (1981) in the context of
neutron stars is used. We show that the nonlinearity in this model has no effect on the
development of instabilities through the mechanism of stationary convection which is
the preferred process in terrestrial applications. However, in non-terrestrial applications
the non-linearity influences the onset of overstable convection and overstability is the
preferred mechanism. Some numerical results are presented for the overstability case
when both boundaries are free and rigid. |
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