Comptes Rendus
no. 4
Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces
[Étude non-linéaire de la convection thermocapillaire dans un système symétrique à trois couches]

Présenté par : Évariste Sanchez-Palencia

Valentina Shevtsova1  ; Ilya Simanovskii2  ; Alexander Nepomnyashchy2  ; Jean-Claude Legros1
1 Université libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt 1050, Brussels, Belgium
2 Department of Mathematics, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
Comptes Rendus. Mécanique, Volume 333 (2005) no. 4, pp. 311-318.

Ce travail présente les simulations numériques de la convection de Marangoni–Bénard dans un système réel symétrique à trois couches. Le gradient de température est dirigé le long des interfaces. Les régimes non-linéaires des écoulements convectifs stationnaires et oscillatoires sont étudiés par la méthode des différences finies. Les transitions entre les mouvements à structure spatiale différente sont également étudiées.

The paper presents numerical simulations of the Marangoni–Bénard convection in a real symmetric three-layer system. The temperature gradient is directed along the interfaces. Nonlinear regimes of steady and oscillatory convective flows are investigated by means of the finite-difference method. Transitions between the motions with different spatial structures are studied.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2005.01.001
Keywords: Heat transfer, Convection, Three-layer system, Interfaces, Instabilities
Mot clés : Transferts thermiques, Système à trois couches, Interfaces, Instabilités
Valentina Shevtsova 1 ; Ilya Simanovskii 2 ; Alexander Nepomnyashchy 2 ; Jean-Claude Legros 1

1 Université libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt 1050, Brussels, Belgium
2 Department of Mathematics, Technion – Israel, Institute of Technology, 32000 Haifa, Israel 
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Valentina Shevtsova; Ilya Simanovskii; Alexander Nepomnyashchy; Jean-Claude Legros. Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces. Comptes Rendus. Mécanique, Volume 333 (2005) no. 4, pp. 311-318. doi : 10.1016/j.crme.2005.01.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.01.001/

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

[2] I. Simanovskii; P. Georis; M. Hennenberg; S. van Vaerenbergh; I. Wertgeim; J.-C. Legros Numerical investigation on Marangoni–Benard instability in multi-layer systems, Proc. VIII European Symposium on Materials and Fluid Sciences in Microgravity, Brussels, Belgium, ESA SP-333, 1992, pp. 729-734

[3] Q. Liu; B. Roux Instability of thermocapillary convection in multiple superposed in immiscible liquid layers, Proc. VIII European Symposium on Materials and Fluid Sciences in Microgravity, Brussels, Belgium, ESA SP-333, 1992, pp. 735-740

[4] P. Georis; M. Hennenberg; I. Simanovskii; A. Nepomnyashchy; I. Wertgeim; J.-C. Legros Thermocapillary convection in multilayer system, Phys. Fluids A, Volume 5 (1993), pp. 1575-1582

[5] A.A. Nepomnyashchy; I.B. Simanovskii Combined action of different mechanisms of convective instability in multilayer systems, Phys. Rev. E, Volume 59 (1999), pp. 6672-6686

[6] A. Prakash; J.N. Koster Convection in multilayers of immiscible liquids in shallow cavities, Part 1: Steady natural convection, Int. J. Multiphase Flow, Volume 20 (1994), p. 383

[7] A. Prakash; J.N. Koster Convection in multilayers of immiscible liquids in shallow cavities, Part 2: Steady thermocapillary convection, Int. J. Multiphase Flow, Volume 20 (1994), p. 397

[8] A. Prakash; J.N. Koster Thermocapillary convection in three immiscible liquid layers, Microgravity Q., Volume 4 (1994), p. 47

[9] P. Georis; J.-C. Legros Pure thermocapillary convection in a multilayer system: first results from the IML-2 mission (L. Ratke; H. Walter; B. Feuerbacher, eds.), Materials and Fluids Under Low Gravity, Springer-Verlag, 1996, pp. 299-311

[10] P. Georis; M. Hennenberg; G. Lebon; J.-C. Legros Investigation of thermocapillary convection in a three-liquid-layer system, J. Fluid Mech., Volume 389 (1999), pp. 209-228

[11] I. Simanovskii; P. Georis; A. Nepomnyashchy; J.-C. Legros Oscillatory instability in multilayer system, Phys. Fluids, Volume 15 (2003), pp. 3867-3870

[12] M. Smith; S. Davis Instabilities of dynamic thermocapillary liquid layers. Part 1. Convective instabilities, J. Fluid Mech., Volume 132 (1983), p. 119

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