Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations

Regnier, Vincent; Dauby, Pierre; Lebon, Georgy

doi:10.1063/1.1313564

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Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations

Regnier, Vincent; Dauby, Pierre; Lebon, Georgy

2000 • In Physics of Fluids, 12, p. 2787-2799

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https://hdl.handle.net/2268/7718

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10.1063/1.1313564

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Keywords :

Rayleigh-Benard instability; surface tension; convection; deformation; stratified flow

Abstract :

[en] Thermoconvective instabilities in a bilayer liquid-gas system with a deformed interface are investigated. In the first part of the work which is devoted to a linear approach, emphasis is put on the role of the upper gas layer on the instability phenomenon. The condition to be satisfied by the gas to remain purely conductive is established. The so-called Oberbeck-Boussinesq approximation is discussed and its range of validity is carefully defined. Instead of the classical Rayleigh, Marangoni, crispation, and Galileo numbers, new dimensionless groups are introduced. A critical comparison with several previous works is made. The nonlinear analysis consists in studying the different convective patterns which can appear above the threshold. Particular attention is devoted to the shape of the interface and the so-called ``hybrid'' relief. The amplitude of the deformation is also determined and comparison with experimental data is discussed.

Disciplines :

Physics

Author, co-author :

Regnier, Vincent

Dauby, Pierre ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles

Lebon, Georgy ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)

Language :

English

Title :

Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations

Publication date :

01 November 2000

Journal title :

Physics of Fluids

ISSN :

1070-6631

eISSN :

1089-7666

Publisher :

American Institute of Physics, Melville, United States - New York

Volume :

Pages :

2787-2799

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://esoads.eso.org/abs/2000PhFl...12.2787R

Available on ORBi :

since 24 March 2010

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