Comptes Rendus
no. 2
Nonlinear waves in a multilayer system

Présenté par : Jean-Baptiste Leblond

Ilya B. Simanovskii1, 2  ; Antonio Viviani3  ; Frank Dubois4  ; Jean-Claude Legros4
1 Department of Mathematics, Technion – Israel Institute of Technology, 3200 Haifa, Israel
2 Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
3 Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
4 Universite Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050, Brussels, Belgium
Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 75-83.

The joint action of buoyant and thermocapillary mechanisms of instability in a multilayer system, is investigated. The nonlinear convective regimes are studied by the finite difference method. The periodic boundary conditions on the lateral boundaries, are considered. It is found that the competition of both mechanisms of instability may lead to the appearance of a buoyant–thermocapillary traveling wave and a modulated traveling wave.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.03.004
Mots clés : Interfacial convection, Multilayer system, Finite difference method
Ilya B. Simanovskii 1, 2 ; Antonio Viviani 3 ; Frank Dubois 4 ; Jean-Claude Legros 4

1 Department of Mathematics, Technion – Israel Institute of Technology, 3200 Haifa, Israel
2 Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
3 Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
4 Universite Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050, Brussels, Belgium 
@article{CRMECA_2009__337_2_75_0,
     author = {Ilya B. Simanovskii and Antonio Viviani and Frank Dubois and Jean-Claude Legros},
     title = {Nonlinear waves in a multilayer system},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {75--83},
     publisher = {Elsevier},
     volume = {337},
     number = {2},
     year = {2009},
     doi = {10.1016/j.crme.2009.03.004},
     language = {en},
}
TY  - JOUR
AU  - Ilya B. Simanovskii
AU  - Antonio Viviani
AU  - Frank Dubois
AU  - Jean-Claude Legros
TI  - Nonlinear waves in a multilayer system
JO  - Comptes Rendus. Mécanique
PY  - 2009
SP  - 75
EP  - 83
VL  - 337
IS  - 2
PB  - Elsevier
DO  - 10.1016/j.crme.2009.03.004
LA  - en
ID  - CRMECA_2009__337_2_75_0
ER  - 
%0 Journal Article
%A Ilya B. Simanovskii
%A Antonio Viviani
%A Frank Dubois
%A Jean-Claude Legros
%T Nonlinear waves in a multilayer system
%J Comptes Rendus. Mécanique
%D 2009
%P 75-83
%V 337
%N 2
%I Elsevier
%R 10.1016/j.crme.2009.03.004
%G en
%F CRMECA_2009__337_2_75_0
Ilya B. Simanovskii; Antonio Viviani; Frank Dubois; Jean-Claude Legros. Nonlinear waves in a multilayer system. Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 75-83. doi : 10.1016/j.crme.2009.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.03.004/

[1] I.B. Simanovskii; A.A. Nepomnyashchy Convective Instabilities in Systems with Interface, Gordon and Breach, London, 1993

[2] A. Nepomnyashchy; I. Simanovskii; J.-C. Legros Interfacial Convection in Multilayer Systems, Springer, New York, 2006

[3] G.Z. Gershuni; E.M. Zhukhovitsky Convective Stability of Incompressible Fluid, Keter, Jerusalem, 1976

[4] J.R.A. Pearson On convection cells induced by surface tension, J. Fluid Mech., Volume 4 (1958), p. 489

[5] A.A. Nepomnyashchy; I.B. Simanovskii Thermocapillary and thermogravitational convection in a two-layer system with a distorted interface, Fluid Dyn., Volume 19 (1984), p. 494

[6] A. Juel; J.M. Burgess; W.D. McCormick; J.B. Swift; H.L. Swinney Surface-tension-driven convection patterns in two liquid layers, Physica D, Volume 143 (2000), p. 169

[7] A.A. Nepomnyashchy; I.B. Simanovskii; L.M. Braverman Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect, Phys. Fluids, Volume 17 (2005), p. 022103

[8] A.A. Nepomnyashchy; I.B. Simanovskii Combined action of different mechanisms of instability in multilayer systems, Phys. Rev. E, Volume 59 (1999), p. 6672

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Buoyant–thermocapillary flows in a multilayer system

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

C. R. Méca (2008)

Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces

Valentina Shevtsova; Ilya Simanovskii; Alexander Nepomnyashchy; ...

C. R. Méca (2005)

Combined action of anticonvection and thermocapillarity in two- and three-layer systems

Ilya B. Simanovskii

C. R. Méca (2004)