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

被引:8
作者
Fayzrakhmanova, I. S. [1 ]
Shklyaev, S. [2 ,3 ]
Nepomnyashchy, A. A. [1 ,4 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] CALTECH, Dept Chem Engn, Pasadena, CA 91125 USA
[3] Russian Acad Sci, Ural Branch, Inst Continuous Media Mech, Perm 614013, Russia
[4] Technion Israel Inst Technol, Minerva Ctr Nonlinear Phys Complex Syst, IL-32000 Haifa, Israel
基金
俄罗斯基础研究基金会; 以色列科学基金会;
关键词
FLUID LAYER; PARAMETRIC-EXCITATION; LIQUID LAYER; CONVECTION; MODULATION; GRAVITY; ONSET;
D O I
10.1063/1.3489411
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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. (C) 2010 American Institute of Physics. [doi:10.1063/1.3489411]
引用
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页数:11
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