ONSET OF THERMOSOLUTAL CONVECTIVE REGIMES IN A RECTANGULAR POROUS CAVITY

Citation
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
Citations number
8
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
12518069
Volume
324
Issue
1
Year of publication
1997
Pages
9 - 17
Database
ISI
SICI code
1251-8069(1997)324:1<9:OOTCRI>2.0.ZU;2-R
Abstract
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.