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Natural convection in an inclined porous cavity with spatial sidewall temperature variations. (English) Zbl 1244.76111

Summary: The natural convection in an inclined porous square cavity is investigated numerically. The left wall is assumed to have spatial sinusoidal temperature variations about a constant mean value, while the right wall is cooled. The horizontal walls are considered adiabatic. A finite difference method is used to solve numerically the nondimensional governing equations. The effects of the inclination angle of the cavity, the amplitude and wave numbers of the heated sidewall temperature variation on the natural convection in the cavity are studied. The maximum average Nusselt number occurs at different wave number. It also found that the inclination could influence the Nusselt number.

MSC:

76S05 Flows in porous media; filtration; seepage
76R10 Free convection
76M20 Finite difference methods applied to problems in fluid mechanics
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