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

Ilya B. Simanovskii

doi:10.1016/j.crme.2004.02.027

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

Presented by: Évariste Sanchez-Palencia

Ilya B. Simanovskii ¹

¹ Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel

Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 597-604.

Abstract
Résumé

Anticonvection generated by the joint action of the external heating and heat sources (sinks) on the interface in the layers with finite thicknesses is studied. Anticonvective structures in fluid systems subject to the anticonvective instability only in the presence of heat sources (sinks) on the interface have been obtained. The nonlinear regimes of anticonvection in the system of three immiscible viscous fluids heated from above are investigated. The specific phenomena caused by direct and indirect interaction of anticonvective and thermocapillary mechanisms of instability are considered. In particular, different oscillatory configurations where anticonvection arises mainly near the upper interface and thermocapillary convection appears mainly near the lower interface, have been studied.

On étudie l'anticonvection engendrée par l'action simultanée d'un apport thermique venant de l'extérieur et à partir des sources (puits) de chaleur se trouvant aux interfaces des couches d'épaisseur finie. On obtient les structures anticonvectives présentant une instabilité anticonvective uniquement pour les systèmes fluides en présence de sources (puits) de chaleur à l'interface. On étudie également les régimes d'anticonvection non-linéaire dans un système de trois fluides visqueux immiscibles, chauffés par dessus. Les phénomènes spécifiques provoqués par une interaction directe et indirecte entre les mécanismes d'instabilité anticonvectifs et thermocapillaires sont considérés. En particulier, on démontre l'existence des configurations oscillatoires diverses, dans lesquelles l'anticonvection se produit principalement à proximité d'interface supérieur, et la convection thermocapillaire apparaı̂t près d'interface inférieur.

Received: 2003-07-09
Accepted: 2004-02-25
Published online: 2004-05-28

DOI: 10.1016/j.crme.2004.02.027

Keywords: Fluid mechanics, Anticonvection, Stability, Thermocapillarity, Multilayer system
Mots-clés : Mécanique des fluides, Anticonvection, Stabilité, Thermocapillarité, Systèmes multi-couches

Author's affiliations:

Ilya B. Simanovskii ¹

¹ Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel

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Ilya B. Simanovskii. Combined action of anticonvection and thermocapillarity in two- and three-layer systems. Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 597-604. doi : 10.1016/j.crme.2004.02.027. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.027/

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