Numerical prediction of free convection phenomena through a rectangular inclined cavity filled with a porous media

الملخص EN

Numerical simulation of free convection air flow through a porous media in an inclined rectangular cavity is studied.

Physical problem consists of a rectangular inclined cavity filled with a porous media.The top and bottom surfaces are thermally insulated while the left and right walls are maintained at isothermal hot and cold temperatures respectively.The two-dimensional flow is characterized using Under-Relaxation finite difference scheme.It is found that the two-dimensional flow is characterized by the vortices that are initiated by the existance of buoyancy effect.The problem considered deals with a two-dimensional internal, laminer, isothermal flow in an inclined rectangular porous cavity.

In this work, the Darcy model is used and the governing equations are solved using Under-Relaxation explicit technique for flow characterstics of Prandtl number at 0.7, an aspect ratio equals to 1.5, Rayleigh number ranging 50 and 100, and inclination angles of 30o, 50o and 90o respectively.

The results explain that the flow field is dominated by one cell rotating in a clockwise direction and filling the cavity.

Also, the variation of the average Nusselt number with inclination angles is also presented.The results showed a good agreement with other published results.