# THREE-DIMENSIONAL SIMULATION OF DOUBLE DIFFUSIVE CONVECTION IN A POROUS MEDIUM: HEAT AND MASS TRANSFERS

DOI: 10.1615/ICHMT.2009.CONV.750
page 16

D. Akrour
Theoretical and Applied Fluid Mechanics Laboratory, Faculty of Physics, USTHB, BP 32 El-Alia, Bab -Ezzouar 16111, Algiers, Algeria

M. Nacer
Theoretical and Applied Fluid Mechanics Laboratory, Faculty of Physics USTHB,BP 32 El-Alia, Bab -Ezzouar 16111, Algiers, Algeria

Djamel Kalache
Laboratoire d’Energétique et de Mécanique des Fluides théorique et appliquée. Faculté de Physique USTHB,B.P. 32, El-Alia, 16111, Alger, Algérie

## Abstract

Natural convection in a porous medium due to spatial variations of fluid density is of fundamental importance in many natural and industrial problems. Among these are the migration of moisture through the air contained in fibrous insulations and grain storage installations, solute exchange in sediments in sediments in coastal environments, the transport of chemical contaminants through water-satured soil and disposal of nuclear wastes in underground sites.
The aim of this work is to be a contribution to the study of the three-dimensional thermosolutal convection in porous medium. For this geometry, two of its parallel walls are maintained at constant and different temperature and concentrations. The other walls are impermeable and insulated.
The thermosolutal convective phenomena inside the enclosure are described by Navier-Stockes equations, the energy and species concentration equations, the energy and species conservation equations.
The Navier-Stokes equations lead to Darcy-Brinkman formulation for the movement of the fluid. The method of volume of control was employed to solve the basic equations in porous media.
The numerical modelisation of the flows as well as the rate of heat and mass transfer is analyzed. The numerical finite volume method was employed to resolve the governing equations with describe the problem. Graphical results for various parametric conditions were presented and discussed. It was found that the heat and mass transfer mechanisms and the flow patterns inside the enclosure depend strongly on the dimensionless characteristic parameters, such as buoyancy ration N, Lewis number Le, Darcy number Da.

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