Abstract
We consider the Soret convection in an inclined rectangular Darcy porous medium filled with an electrically conductive binary fluid. The long sidewalls of the porous cavity are subject to constant gradients of heat and submitted to a uniform and constant transversal magnetic field while its short sides are adiabatic and impermeable. An approximate analytical solution to the present problem, valid in the central part of the shallow cavity, is obtained on the basis of the parallel flow approximation and validated numerically using a finite-difference method. Results are presented in terms of streamlines, isotherms, iso-concentration lines, Nusselt and Sherwood numbers and separation of species for Hartmann number varying in the range (0, 20). A good agreement is observed between the analytical predictions and numerical simulations.
Highlights
Because of its strong involvement in many engineering applications, Soret-convection in rectangular porous cavities has received a growing attention through the decades
Combined effects of an applied magnetic field and an external shear stress on Soret natural convection developed in a horizontal porous layer heated from below with a constant heat flux was studied analytically and numerically by Bourich et al [8]
It is reported in this study that the introduction of magnetic buoyancy forces has a stabilizing effect on the system; it leads to a reduction of the flow intensity and heat transfer
Summary
Because of its strong involvement in many engineering applications, Soret-convection in rectangular porous cavities has received a growing attention through the decades. Combined effects of an applied magnetic field and an external shear stress on Soret natural convection developed in a horizontal porous layer heated from below with a constant heat flux was studied analytically and numerically by Bourich et al [8]. It is reported in this study that the introduction of magnetic buoyancy forces has a stabilizing effect on the system; it leads to a reduction of the flow intensity and heat transfer. It can engender an increase or a reduction of the mass transfer dependently on the values of the Hartmann number and the separation ratio
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