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

doi:10.1140/epjst/e2011-01363-9

EPJ

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

I.S. Fayzrakhmanova¹^a, S. Shklyaev²^,3^b and A.A. Nepomnyashchy¹^c

¹ Department of Mathematics, Technion – Israel Institute of Technology, Haifa, Israel
² Department of Chemical Engineering, California Institute of Technology, Pasadena, CA, USA
³ Institute of Continuous Media Mechanics, UB RAS, Perm, Russia

Received: 21 January 2011
Revised: 25 January 2011
Published online: 9 March 2011

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.

23rd International Summer School on Vacuum, Electron, and Ion Technologies (VEIT)
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EPJ

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

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