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

被引：0
|
作者：
Zhi-liang Wang
S. P. Lin
Zhe-wei Zhou
机构：
[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
[2] Clarkson University,Department of Mechanical and Aeronautical Engineering
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
flow instability; film coating; energy budget; low Reynolds number; Galilei invariant; O357; 80A20;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：1 / 12
页数：11
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