Control volume finite element modeling of free convection inside an inclined porous enclosure with a sinusoidal hot wall

نویسندگان
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چکیده

In this study, the effects of different governing parameters on natural convection heat transfer between an inclined hot basement roof and a cold environment are investigated numerically using the Control Volume based Finite Element Method (CVFEM). The medium between the cold and hot surfaces is filled by soil which can be considered as a porous media. The physical model can be approximated as an enclosure with various inclination angles. The cold wall of the enclosure is assumed to mimic a sinusoidal profile with different dimensionless amplitudes. The numerical investigations are conducted at the Prandtl number (Pr 1) and various values of non-dimensional governing parameters namely: the porosity ( ), Darcy number (Da ) and Rayleigh number ( Ra ). The geometrical variables in this study are the inclination angle ( ) and dimensionless amplitude (a ) of the sinusoidal cold wall. The obtained results show the significant effects of  and a on the streamlines and isotherms as well as the local and average Nusselt numbers at various values ofDa , andRa . Effects of the governing parameters on heat transfer and fluid flow in the upper and lower parts of the enclosure are also investigated.