This paper aims to provide a limited, but selective bibliography on modelling heat and mass transfer in composite fluid‐porous domains.
Since the pioneer study by Beavers and Joseph, the problem of interface continuity and/or jump conditions at a fluid‐porous interface has been of interest to the fluid mechanics and heat and mass transfer community. The paper is concerned both with numerical simulations of heat and fluid flow in such systems, and with the linear stability problems.
The one‐ and two‐domain formulations are equivalent. Using the Darcy‐Brinkman extension instead of the Darcy model reduces the number of ad hoc parameters in this configuration.
The problem of double diffusive convection has still to be solved and analyzed.
The discussion on the interface conditions is of great relevance to many industrial and practical situations.
The important question of the macroscopic formulation of the problem is tackled in the paper.
