Diffusion Convection in a Vertical Rectangular Porous Cavity

摘要

This paper presents a numerical study of a diffusive free convection in a rectangular cavity filled with a porous medium. It is assumed that the left vertical wall is subject to a mixed boundary condition (Robin) and the right vertical wall is kept at a constant concentration, while the horizontal walls are adiabatic. The governing mass conservation, Darcy law and concentration equations are first transformed into non-dimensionless form. Thus, the governing parameters are Rayleigh number, Ra, aspect ratios of the cavity parameter, A, and conjugate parameter, hs . These equations are then solved numerically using finite-difference method along with Richardson extrapolations. The results for the streamlines, concentrations and Sherwood number are presented in several figures and tables. These results can be found in wide range of situations: chemical processes, crystal growth, energy storage, food processing, pharmaceutical products, etc.