Abstract
This paper summarizes a numerical study of double-diffusive natural convection in square inclined cavity filled with fluid saturated porous media. Transverse gradients of heat and solute are applied on the two horizontal walls of the cavity, while the other two walls are impermeable and adiabatic. The Darcy model with the Boussinesq approximation is used to solve the governing equations. The flow is driven by a combined buoyancy effect due to both temperature and concentration variations. A finite volume approach has been used to solve the non-dimensional governing equations. The results are presented in streamline, isothermal, iso-concentration, Nusselt and Sherwood contours for different values of the non-dimensional governing parameters. Keywords: Boussinesq Approximation, Darcy Model, Finite Volumes, Inclined Cavity, Natural Convection, Porous Media.
Highlights
The study of double-diffusive natural convection in fluid-saturated porous media has been motivated by its wide range of applications in many engineering fields such as the migration of moisture through air contained in fibrous insulations and the underground spreading of chemical contaminants through water-saturated soil
This paper summarizes a numerical study of double-diffusive natural convection in square inclined cavity filled with fluid saturated porous media
Numerical results of thermo-solutal natural convection have been reported by Bourich et al [5] in the case of a horizontal porous cavity partially heated from below and differentially salted
Summary
The study of double-diffusive natural convection in fluid-saturated porous media has been motivated by its wide range of applications in many engineering fields such as the migration of moisture through air contained in fibrous insulations and the underground spreading of chemical contaminants through water-saturated soil. Double diffusive convection in a porous enclosure submitted to cross gradients of temperature and concentration has been studied by the same author [6], the effects of the governing parameters on the flow structure and heat and mass transfer are analyzed. It is demonstrated that the solutal buoyancy force induced by horizontal concentration gradients eliminates the multiplicity of solutions obtained in pure thermal convection when N exceeds some critical value, which depends on Le and Ra. Mohamad and Bennacer [7] studied numerically the existence of multiple solutions in a horizontal porous enclosure heated horizontally and salted from the bottom. The existence of multiple steady-state solutions, for a given set of the governing parameters, was demonstrated by Kalla et al [9] in a numerical and analytical study of double-diffusive natural convection within a horizontal porous layer, where the vertical and the horizontal walls are submitted respectively to uniform heat and mass fluxes. The global Nusselt and Sherwood numbers dependence on the dimensionless governing parameters and boundary conditions is explored in detail
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