Spatio-temporal instability of two-layer liquid film at small Reynolds numbers

The onset of instability with respect to the spatio-temporally growing disturbance in a viscosity-stratified two-layer liquid film flow is analyzed. The known results obtained from the temporal theory of instability show that the flow is unstable in the limit of zero Reynolds numbers. The present th...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2010, Vol.31 (1), p.1-12
Main Author: 王志亮 林松飘 周哲玮
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Computational fluid dynamics
Disturbances
Fluid flow
Fluid- and Aerodynamics
Instability
Liquid films
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
Reynolds number
Stability
不稳定层
伽利略
小雷诺数
时空不稳定
显示时间
机械能
液膜流动
理论预测
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Summary:The onset of instability with respect to the spatio-temporally growing disturbance in a viscosity-stratified two-layer liquid film flow is analyzed. The known results obtained from the temporal theory of instability show that the flow is unstable in the limit of zero Reynolds numbers. The present theory predicts the neutral stability in the same limit. The discrepancy is explained. Based on the mechanical energy equation, a new mechanism of instability is found. The new mechanism is associated with the convective nature of the disturbance that is not Galilei invariant.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-010-0101-x