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.
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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
@article{CRMECA_2004__332_3_209_0,
author = {Gilbert Accary and Isabelle Raspo and Patrick Bontoux and Bernard Zappoli},
title = {Three-dimensional {Rayleigh{\textendash}B\'enard} instability in a supercritical fluid},
journal = {Comptes Rendus. M\'ecanique},
pages = {209--216},
publisher = {Elsevier},
volume = {332},
number = {3},
year = {2004},
doi = {10.1016/j.crme.2004.01.009},
language = {en},
}
TY - JOUR AU - Gilbert Accary AU - Isabelle Raspo AU - Patrick Bontoux AU - Bernard Zappoli TI - Three-dimensional Rayleigh–Bénard instability in a supercritical fluid JO - Comptes Rendus. Mécanique PY - 2004 SP - 209 EP - 216 VL - 332 IS - 3 PB - Elsevier DO - 10.1016/j.crme.2004.01.009 LA - en ID - CRMECA_2004__332_3_209_0 ER -
%0 Journal Article %A Gilbert Accary %A Isabelle Raspo %A Patrick Bontoux %A Bernard Zappoli %T Three-dimensional Rayleigh–Bénard instability in a supercritical fluid %J Comptes Rendus. Mécanique %D 2004 %P 209-216 %V 332 %N 3 %I Elsevier %R 10.1016/j.crme.2004.01.009 %G en %F CRMECA_2004__332_3_209_0
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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