Reference : Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/7718
Linear and nonlinear Rayleigh-Bénard-Marangoni instability with surface deformations
English
Regnier, Vincent [ > > ]
Dauby, Pierre mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles >]
Lebon, Georgy mailto [Université de Liège - ULg > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences) >]
1-Nov-2000
Physics of Fluids
American Institute of Physics
12
2787-2799
Yes (verified by ORBi)
International
1070-6631
Melville
NY
[en] Rayleigh-Benard instability ; surface tension ; convection ; deformation ; stratified flow
[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.
http://hdl.handle.net/2268/7718
10.1063/1.1313564
http://esoads.eso.org/abs/2000PhFl...12.2787R

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
Linear and nonlinear Rayleigh–Be´nard–Marangoni instability_Phys Fluids 12, 2787.pdfPublisher postprint192.37 kBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.