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

被引：4

作者：

Fayzrakhmanova, I. S. ^{[1
]}

Shklyaev, S. ^{[2
,3
]}

Nepomnyashchy, A. A. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] CALTECH, Dept Chem Engn, Pasadena, CA 91125 USA

[3] UB RAS, Inst Continuous Media Mech, Perm, Russia

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2011年 / 192卷 / 01期

基金：

以色列科学基金会; 俄罗斯基础研究基金会;

关键词：

European Physical Journal Special Topic; Biot Number; Stability Domain; Marangoni Number; Marangoni Convection;

D O I：

10.1140/epjst/e2011-01363-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：95 / 100

页数：6

共 4 条

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Fayzrakhmanova, I. S. ;

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Nepomnyashchy, A. A. .

PHYSICS OF FLUIDS, 2010, 22 (10)

[2]

NAYFEH A, 1973, PERTURBATION METHODS

[3] Long-wavelength thermocapillary instability with the Soret effect [J].

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Nepomnyashchy, AA .

PHYSICAL REVIEW E, 2004, 69 (01)

[4] Long-wave Marangoni instability in a binary-liquid layer with deformable interface in the presence of Soret effect: Linear theory [J].

Podolny, A ;

Oron, A ;

Nepomnyashchy, AA .

PHYSICS OF FLUIDS, 2005, 17 (10)

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