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

Fayzrakhmanova, I. S. and Shklyaev, S. and Nepomnyashchy, A. A. (2010) Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect. Physics of Fluids, 22 (10). Art. No. 104101. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20101130-085747088

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.3489411 DOIUNSPECIFIED
http://pof.aip.org/resource/1/phfle6/v22/i10/p104101_s1PublisherUNSPECIFIED
http://link.aip.org/link/PHFLE6/v22/i10/p104101/s1 PublisherUNSPECIFIED
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).
Funders:
Funding AgencyGrant Number
Israel Science Foundation812/06
Israel Ministry of Sciences3-5799
Russian Foundation for Basic Research09-01-92472
European UnionPITN-GA-2008-214919
Subject Keywords:convection, flow instability, surface tension, thermal diffusion, vibrations, waves
Issue or Number:10
Classification Code:PACS: 47.27.te; 47.35.-i; 47.55.P-; 47.20.-k
Record Number:CaltechAUTHORS:20101130-085747088
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20101130-085747088
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21053
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Dec 2010 00:53
Last Modified:03 Oct 2019 02:19

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