Free convection in oblique enclosures filled with a porous medium

Detailed numerical calculations are presented in this paper for the steady- state free convection within an inclined cavity filled with a fluid-saturat ed porous medium. The inclined walls are maintained at constant but differe nt temperatures, while the horizontal walls are adiabatic. To simplify the effort in matching the grid mesh with the inclined walls of the cavity, the computational domain is mapped onto a rectangular shape cavity using a non -linear axis transformation. The governing equations tin the stream functio n and temperature formulation) are expressed in the new coordinate system a nd solved numerically using the ADI (Alternative Direction Implicit) finite -difference method. Flow and heat transfer characteristics (stream lines, i sotherms and average Nusselt number) are investigated for a wide range of v alues of the Rayleigh number, inclined angle and cavity aspect ratio. The p resent solutions for a vertical cavity are compared with the known results from the open literature. It was found that these results are in very good agreement. We believe that these results serve as a reference against which other solutions for the present problem can be compared in the future. (C) 1998 Elsevier Science Ltd. All rights reserved.