Natural convection in partially porous cavities driven by buoyancy force has been given the attention in this paper. Two-domain model with continuous or discontinuous interfacial conditions and One-equation model with heterogeneous interface region were analyzed. FEM with weak constraint condition was applied to solve the differential governing equations. The influence of stress jump conditions at fluid/porous interface on flow and heat transfer in two-domain model was compared with that of heterogeneous interface region in one-domain model. Numerical results showed that vertical velocity was different near the interface for continuous and discontinuous interfacial conditions. And variation of porosity and permeability in the interface region also lead to difference of vertical velocity. The influence on Nusselt number was slight.

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