Abstract
An analytical and numerical investigation is conducted to study the effect of an electromagnetic field on natural convection in a horizontal shallow porous cavity filled with an electrically conducting binary mixture. A uniform heat flux is applied to the horizontal walls of the layer while the vertical walls are adiabatic. The solutal buoyancy forces are assumed to be induced either by the imposition of constant fluxes of mass on the horizontal boundaries (double diffusive convection) or by temperature gradients (Soret induced convection). Governing parameters of the problem under study are the thermal Rayleigh number, R T , Hartmann number, Ha, Lewis number, Le, buoyancy ratio, ϕ, aspect ratio, A, and normalized porosity of the porous medium, ɛ. An analytical solution, valid for a shallow layer (A ≫ 1) is derived on the basis of the parallel flow approximation. In the range of the governing parameters considered in this study, a good agreement is found between the analytical predictions and the numerical results obtained by solving the full governing equations.
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