Abstract
A linear stability analysis is carried out for the convective instability problem in a horizontal fluid layer sandwiched between two porous layers of different permeabilities. The velocity boundary condition is a general one and is via-media between the free and rigid boundary conditions. The thermal condition at the porous-fluid interface is assumed to be neither constant heat flux nor constant temperature, but a condition leading to a third-type of boundary condition. The principle of exchange of stability is valid for the problem and the critical eigenvalue is obtained for the general boundary condition using the single-term Rayleigh-Ritz technique. The results of several works are recovered as limiting cases of the present study.
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