Comptes Rendus
Three-dimensional Rayleigh–Bénard instability in a supercritical fluid
Comptes Rendus. Mécanique, Volume 332 (2004) no. 3, pp. 209-216.

This paper describes the unsteady convective flow of a supercritical fluid in the Rayleigh–Bénard configuration. Two-dimensional earlier studies reported fast temperature equilibrium due to the piston effect and the development of a convective instability when the local Rayleigh number exceeds a critical value. In the present work, a high order 3D finite volume method has been developed and optimized, and to our knowledge, we show for the first time a three-dimensional convective instability in a supercritical fluid. Inspecting the time-evolution of temperature field patterns, we exhibit corner effects and a three-dimensional behavior of the flow.

Cet article décrit l'écoulement convectif instationnaire d'un fluide supercritique en configuration de Rayleigh–Bénard. Des études antérieures bidimensionnelles ont montré une homogénéisation rapide de la température par effet piston et le développement d'une instabilité convective lorsque le nombre de Rayleigh local dépasse une valeur critique. Dans le présent travail, une méthode de volumes finis 3D d'ordre élevé a été développée, et à notre connaissance, nous montrons pour la première fois une instabilité convective tridimensionnelle dans un fluide supercritique. En examinant l'évolution temporelle de la structure du champ thermique, nous mettons en évidence des effets de coins et un comportement tridimensionnel de l'écoulement.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2004.01.009
Keywords: Fluid mechanics, Supercritical fluid, Rayleigh–Bénard configuration, 3D convective instability, Piston effect
Mots-clés : Mécanique des fluides, Fluide supercritique, Configuration de Rayleigh–Bénard, Instabilité convective 3D, Effet piston

Gilbert Accary 1; Isabelle Raspo 1; Patrick Bontoux 1; Bernard Zappoli 2

1 MSNM-GP UMR 6181 CNRS, Les Universités d'Aix-Marseille, IMT – La Jetée, Technopôle de Château Gombert, 38, rue Frédéric Joliot Curie, 13451 Marseille cedex 20, France
2 CNES, 18, avenue Edouard Belin, 31401 Toulouse cedex 4, France
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     title = {Three-dimensional {Rayleigh{\textendash}B\'enard} instability in a supercritical fluid},
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Gilbert Accary; Isabelle Raspo; Patrick Bontoux; Bernard Zappoli. Three-dimensional Rayleigh–Bénard instability in a supercritical fluid. Comptes Rendus. Mécanique, Volume 332 (2004) no. 3, pp. 209-216. doi : 10.1016/j.crme.2004.01.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.009/

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