The European Physical Journal Special Topics

, Volume 192, Issue 1, pp 95–100 | Cite as

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

  • I.S. Fayzrakhmanova
  • S. Shklyaev
  • A.A. Nepomnyashchy
Regular Article


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.


European Physical Journal Special Topic Biot Number Stability Domain Marangoni Number Marangoni Convection 
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© EDP Sciences and Springer 2011

Authors and Affiliations

  1. 1.Department of MathematicsTechnion – Israel Institute of TechnologyHaifaIsrael
  2. 2.Department of Chemical EngineeringCalifornia Institute of Technology, PasadenaCAUSA
  3. 3.Institute of Continuous Media Mechanics, UB RASPermRussia

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