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Published February 2011 | public
Journal Article

Longwave Marangoni instability in a binary mixture under the action of vibration: Influence of the heat transfer on a free surface

Abstract

We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer of a binary mixture with the Soret effect. Heat loss at a free surface is taken into consideration. Linear stability analysis is performed numerically by means of the Floquet theory. It is shown that with the increase in the Biot number B, the system is stabilized. For heating from below, a crossover is found in a narrow interval of the Soret number: the stability domain decreases stepwise for arbitrary small B.

Additional Information

© 2011 EDP Sciences, Springer-Verlag. Received 21 January 2011. Received in final form 25 January 2011. Published online 9 March 2011. The authors acknowledge the support of Israel Science Foundation (grant 812/06), joint grants of 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 PITN-GA-2008-214919 (MULTIFLOW).

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023