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Naissance de régimes de convection thermosolutale dans une cellule rectangulaire poreuse

Charrier-Mojtabi, Marie-Catherine and Karimi-Fard, Mohammad and Mojtabi, Abdelkader Naissance de régimes de convection thermosolutale dans une cellule rectangulaire poreuse. (1997) Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, 324 (1). 9-17. ISSN 1251-8069

(Document in French)

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Official URL: https://doi.org/10.1016/S1251-8069(99)80002-5


The onset of thermosolutal convection in a rectangular cell filled with a porous medium saturated by a binary fluid is studied. The vertical walls are maintained at different, but uniform, temperatures and concentrations. The horizontal walls are impermeable and adiabatic. When the ratio of resulting solutal and thermal buoyancy forces is equal to −1, we obtain an equilibrium solution corresponding to a purely diffusive regime. We demonstrate that this regime is linearly stable up to a critical thermal Rayleigh number, Rac1, depending on the aspect ratio of the cell and the Lewis number. These analytical results are in good agreement with numerical direct simulations which allow us to describe the double-diffusive convective regimes taking place when the equilibrium regime loses its stability.

Item Type:Article
HAL Id:hal-01946166
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
CNUSC de Montpellier
Deposited On:30 Nov 2018 09:52

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