Conjugate natural convection in a square porous cavity

Steady-state conjugate natural convection in a square cavity filled with a porous medium is studied numerically in this paper. The enclosure consists of two horizontal conductive walls of finite thickness and two vertical wal ls at different uniform temperatures. The focus is on the role of solid-flu id conductivity ratio, k, on the flow and heat transfer characteristics and the average Nusselt number, (Nu) over bar, over the vertical hot and cold walls of the cavity for a limited set of particular parameters. It was show n that the interface temperature, theta (w), along the top of the solid wal l decreases with the increase in the wall conductivity k. Also, the values of (Nu) over bar decreases with the increase of the values of the parameter k. Comparison with known results from the open literature when the wall th ickness of the horizontal solid walls is neglected (non-conjugate problem) is excellent.