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Published October 2010 | Published
Journal Article Open

Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

Abstract

We study the influence of a low frequency vibration on a long-wave Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory; several limiting cases are treated analytically. Competition of subharmonic, synchronous, and quasiperiodic modes is considered. The vibration is found to destabilize the layer, decreasing the stability threshold. Also, a vibration-induced mode is detected, which takes place even for zero Marangoni number.

Additional Information

© 2010 American Institute of Physics. Received 17 May 2010; accepted 25 August 2010; published online 19 October 2010. The authors acknowledge the support of the Israel Science Foundation (Grant No. 812/06), and joint grants from the Israel Ministry of Sciences (Grant No. 3-5799) and the Russian Foundation for Basic Research (Grant No.09-01- 92472). The work is also supported by the European Union via FP7 Marie Curie scheme Grant No. PITN-GA-2008- 214919 (MULTIFLOW).

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August 19, 2023
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