Double- diffusive convection in an anisotropic and inclined porous layer with cooperating horizontal gradients of temperature and concentration

Abstract

Double-diffusive natural convection in porous layer saturated with a binary fluid is presented in this study. The layer is anisotropic with respect to both its permeability and diffusivity and is inclined with respect to the horizontal axis. The vertical walls of porous cavity are subjected to uniform temperature and concentration where the other surfaces are assumed to be adiabatic and impermeable. The governing equations are solved by the finite volume method. The study focuses on the effects of anisotropy in permeability and the inclination angle of the flow structures on heat and mass transfer. The results are presented and analyzed in terms of streamlines, isotherms, isoconcentrations lines and average Nusselt and Sherwood numbers. They indicate the existence of three regimes. A diffusive regime, a transition regime and an asymptotic regime. They are in good agreement with those found in the literature.