On the use of Galerkin-Eckhaus method to study the nonlinear regime of Marangoni-Bénard instabilities in an evaporating liquid layer

被引：0

作者：

J. Margerit

M. Dondlinger

P. C. Dauby

机构：

[1] Université de Liège,

[2] Institut de Physique B5a,undefined

来源：

The European Physical Journal B - Condensed Matter and Complex Systems | 2006年 / 54卷

关键词：

47.20.Ky Nonlinearity, bifurcation, and symmetry breaking; 47.20.Hw Morphological instability; phase changes; 47.20.Dr Surface-tension-driven instability; 47.55.pf Marangoni convection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate theoretically Marangoni-Bénard instability in an evaporating liquid layer surmounted by its vapor and an inert gas. A Galerkin-Eckhaus method, based on a slaving principle and an iterative algorithm, and a direct finite element method are used to determine the evaporation rate above the convective threshold. Both methods provide precise quantitative results, even far from the linear stability threshold.

引用

页码：485 / 492

页数：7

共 4 条

[1] On the use of Galerkin-Eckhaus method to study the nonlinear regime of Marangoni-Benard instabilities in an evaporating liquid layer
Margerit, J.
Dondlinger, M.
Dauby, P. C.
[J]. EUROPEAN PHYSICAL JOURNAL B, 2006, 54 (04): : 485 - 492
[2] Weakly nonlinear study of Marangoni instabilities in an evaporating liquid layer
Dondlinger, M
Margerit, J
Dauby, PC
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2005, 283 (02) : 522 - 532
[3] Improved 1.5-sided model for the weakly nonlinear study of Benard-Marangoni instabilities in an evaporating liquid layer
Margerit, J
Dondlinger, M
Dauby, PC
[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2005, 290 (01) : 220 - 230
[4] Bénard instabilities in a binary-liquid layer evaporating into an inert gas: Stability of quasi-stationary and time-dependent reference profiles
H. Machrafi
A. Rednikov
P. Colinet
P.C. Dauby
[J]. The European Physical Journal Special Topics, 2011, 192 : 71 - 81

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