Linear stability of natural convection in superposed fluid and porous layers: Influence of the interfacial modelling

Abstract

This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Ω DB). Results are systematically compared to those obtained using the one-domain approach (1 Ω) and the classical Darcy formulation of the two-domain approach (2 Ω D). A better agreement is found between the 2 Ω DB and 2 Ω D neutral curves, than with the 1 Ω curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results.