Abstract
This paper presents a numerical study of a double diffusive convection in a cubic cavity filled with a binary mixture. The vertical walls are given different temperatures and concentrations. The potential-vorticity formulation in three-dimensional configuration using the finite volume method is utilized in this study. The results are given for Rayleigh number Ra=105, Prandtl number Pr=10 and Lewis number Le=10, characterizing the case of aqueous solutions. The influence of the magnetic field on the structure of the three-dimensional flow, the distribution of temperature and concentration and the different characteristics of heat and mass transfer of the thermal and solutal dominated region are presented.