Comptes Rendus
On the heat and mass transfer analogy for natural convection of non-dilute binary mixtures of ideal gases in cavities
Comptes Rendus. Mécanique, Volume 337 (2009) no. 3, pp. 141-149.

An extension of a slightly compressible flow model to double-diffusive convection of a binary mixture of ideal gases enclosed in a cavity is presented. The problem formulation is based on a low Mach number approximation and the impermeable surface assumption is not invoked. The main objectives of this paper are the statement of a new problem formulation, and the analysis of some significant results showing the influence of density variations on transient solutions for pure thermal or pure solutal convection. At steady-state, it is shown that the heat and mass transfer analogy may be applied for non-dilute mixtures at parameter ranges larger than those usually considered.

Le modèle d'écoulement faiblement compressible est étendu à la convection doublement diffusive d'un mélange binaire de gaz parfaits contenus dans une cavité. L'écriture des équations de conservation et de la loi d'état du mélange s'appuie sur une approximation “bas Mach” en tenant compte des vitesses de diffusion sur les parois. Les objectifs de cet article sont de proposer une nouvelle formulation du problème et de discuter quelques résultats significatifs. Les cas de convection thermique et de convection solutale sont considérés successivement. On montre que l'analogie transfert de chaleur–transfert de matière reste applicable dans des domaines de paramètres plus étendus que ceux habituellement admis.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2009.04.001
Keywords: Computational fluid mechanics, Thermosolutal convection, Low-Mach number flows
Mot clés : Mécanique des fluides numériques, Convection thermosolutale, Ecoulements faiblement compressibles

Hua Sun 1; Guy Lauriat 1

1 Université Paris-Est, laboratoire de modélisation et simulation multi-échelle (MSME FRE-CNRS 3160), 5, boulevard Descartes, Champs sur Marne, 77454 Marne-la-Vallée cedex 2, France
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Hua Sun; Guy Lauriat. On the heat and mass transfer analogy for natural convection of non-dilute binary mixtures of ideal gases in cavities. Comptes Rendus. Mécanique, Volume 337 (2009) no. 3, pp. 141-149. doi : 10.1016/j.crme.2009.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.04.001/

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