Buoyant–thermocapillary flows in a multilayer system

Ilya B. Simanovskii; Antonio Viviani; Jean-Claude Legros

doi:10.1016/j.crme.2007.11.023

Buoyant–thermocapillary flows in a multilayer system

Presented by: Évariste Sanchez-Palencia

Ilya B. Simanovskii ¹ ; Antonio Viviani ²; Jean-Claude Legros ³

¹ Department of Mathematics, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
² Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
³ Université Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050 Brussels, Belgium

Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 262-268.

Abstract
Résumé

The nonlinear buoyant–thermocapillary flows in a three-layer system, filling a closed cavity and subjected to a temperature gradient directed along the interfaces, are investigated. The nonlinear simulations of convective regimes are performed by the finite-difference method. It is found that for sufficiently large values of the Grashof number, the long vortices turn into multicell structures.

Une étude est menée sur les écoulements induits dans un système composé de trois couches de liquides superposés, en tenant compte des effets non-linéaires. Ces liquides sont contenus dans une cavité fermée et soumise à un gradient de température parallèle aux interfaces. Les simulations numériques des régimes convectifs non-linéaires sont effectuées par la méthode des différences finies. Il est montré que pour des valeurs suffisamment grandes des nombres de Grashof, les rouleaux de convection longitudinaux se transforment en structures multicellulaires.

Received: 2007-04-27
Accepted: 2007-07-27
Published online: 2008-01-11

DOI: 10.1016/j.crme.2007.11.023

Keywords: Computational fluid mechanics, Multilayer, Thermocapillarity convection, Gravity-induced convection, Flow stability, Grashof number, Marangoni number
Mots-clés : Mécanique des fluides numérique, Multicouche, Convection thermocapillaire, Convection induite par densité, Stabilité des écoulements, Nombre de Grashof, Nombre de Marangoni

Author's affiliations:

Ilya B. Simanovskii ¹; Antonio Viviani ²; Jean-Claude Legros ³

¹ Department of Mathematics, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
² Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
³ Université Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050 Brussels, Belgium

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     author = {Ilya B. Simanovskii and Antonio Viviani and Jean-Claude Legros},
     title = {Buoyant{\textendash}thermocapillary flows in a multilayer system},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {262--268},
     publisher = {Elsevier},
     volume = {336},
     number = {3},
     year = {2008},
     doi = {10.1016/j.crme.2007.11.023},
     language = {en},
}

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Ilya B. Simanovskii; Antonio Viviani; Jean-Claude Legros. Buoyant–thermocapillary flows in a multilayer system. Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 262-268. doi : 10.1016/j.crme.2007.11.023. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.023/

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