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MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with Hall effects. (English) Zbl 0901.76077

Summary: We investigate the problem of the free convection flow of an electrically conducting fluid along a vertical plate embedded in a thermally stratified porous medium in the presence of a uniform normal magnetic field. The basic equations comprising the balance laws of mass, linear momentum, and energy are modified to include the porous medium Darcian and non-Darcian effects, the Hartmann and Hall effects of magnetohydrodynamics, and the thermal stratification of the porous medium. The equations are solved numerically using the finite difference method. The results for velocity, temperature, skin friction, and the local Nusselt number profiles are illustrated graphically and discussed for various physical parameters.

MSC:

76R10 Free convection
76W05 Magnetohydrodynamics and electrohydrodynamics
76S05 Flows in porous media; filtration; seepage
76M20 Finite difference methods applied to problems in fluid mechanics
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