Double-diffusive natural convection in porous cavity heated by an internal boundary

Abstract

Laminar double-diffusive natural convective flow of a binary fluid mixture in a rectangular cavity heated by an internal circular boundary, filled with a uniform porous medium is considered. Transverse gradients of mass are applied on two opposing walls of the cavity while three walls are kept adiabatic and two walls are assumed to be impermeable to mass transfer. The considered problem is expressed in term of the stream function-vorticity formulation. A numerical solution based on the finite element methodology is obtained. Numerical results illustrating the
effects of the buoyancy ratio and Rayleigh number on the contour maps of the streamline, temperature, and concentration are reported. In addition, numerical results for the average Nusselt and Sherwood numbers are presented and discussed.