Mc. Charriermojtabi et al., ONSET OF THERMOSOLUTAL CONVECTIVE REGIMES IN A RECTANGULAR POROUS CAVITY, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 324(1), 1997, pp. 9-17
The onset of thermosolutal convection in a rectangular cell filled wit
h a porous medium saturated by a binary fluid is studied. The vertical
walls are maintained at different, but uniform, temperatures and conc
entrations. The horizontal walls are impermeable and adiabatic. When t
he ratio of resulting solutal and thermal buoyancy forces is equal to
-1, we obtain an equilibrium solution corresponding to a purely diffus
ive regime. We demonstrate that this regime is linearly stable up to a
critical thermal Rayleigh number, Ra-c1, depending on the aspect rati
o of the cell and the Lewis number. These analytical results are in go
od agreement with numerical direct simulations which allow us to descr
ibe the double-diffusive convective regimes taking place when the equi
librium regime loses its stability.