Abstract

Benard convection in fluid-saturated porous cavities is studied in this research. The unsteady Navier-Stokes equations and energy equation describing the transient heat and fluid flow are expressed in primitive variables. A semi-implicit splitting finite element method is adopted to solve the coupled governing equations. The phenomena are discussed for a series of Rayleigh numbers, aspect ratios and different porous media. The results show that the strength of Benard convection and heat-transfer rate become weaker due to the existence of more flow restriction in the porous media. Furthermore, the progress of flow evolution is also retarded compared with the non-porous medium. In some conditions, the heat transfer phenomenon is obviously altered because of the dramatic change in the flow pattern for different porous media.

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