Numerical study of thermogravitational convection in a closed region with a porous layer using different boundary conditions in the interface zone

This study deals with the numerical analysis of natural convection in a two-dimensional confined region where a fluid with variable viscosity interacts with a porous layer and a solid heat emitter located on the bottom wall. The governing equations have been formulated in dimensionless form using the current and curl function and solved by the finite difference method on a uniform computational grid. The distribution of hydrodynamic and thermal characteristics, including isolines of the current and temperature functions, as well as key integral parameters such as the mean Nusselt number on the heat source surface and the mean source temperature, have been studied in this work. Particular attention has been paid to evaluating the influence of boundary conditions at the interface between the fluid and the porous medium.

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