低Reynolds数下双层液膜的空间-时间不稳定性研究

王志亮; 林松飘; 周哲玮

doi:10.3879/j.issn.1000-0887.2010.01.001

低Reynolds数下双层液膜的空间-时间不稳定性研究

doi: 10.3879/j.issn.1000-0887.2010.01.001

上海大学,上海市应用数学和力学研究所,上海 200072;

基金项目: 国家自然科学基金资助项目(10702038;10772107);美国国家自然科学基金资助项目(CTS-0138057);上海市重点学科建设基金资助项目(Y0103)

详细信息

作者简介:
王志亮(1974- ),男,湖北麻城人,博士(联系人.E-mail:wng_zh@shu.edu.cn).

中图分类号: O357
计量
- 文章访问数: 1277
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- 被引次数: 0
出版历程
- 收稿日期: 2009-10-20
- 修回日期: 2009-11-19
- 刊出日期: 2010-01-15

Spatio-Temporal Instability of Two-Layer Liquid Film at Small Reynolds Numbers

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699, USA

摘要

摘要: 分析了黏性分层双液体薄膜在空间-时间发展扰动下不稳定的触发状况．已有的研究结果给出了在零Reynolds数极限情况下，流动在时间发展模式下不稳定的论断，而这里的空间-时间发展理论却表明，在同一极限下，液膜的流动其实是中性稳定的．该文分析了这种差异及造成差异的原因．通过对能量方程的研究还找到了一种在时间发展模式下没有发现的新不稳定机制，并将这种机制与扰动对流现象的非Galilei不变性相关联．
- 流动稳定性 /
- 涂膜工艺 /
- 能量积分 /
- 低Reynolds数 /
- Galilei不变性
Abstract: The on set of the instability with respect to spatio-temporally growing disturbances in a viscosity-stratified two-layer liquid fiml flow was analyzed. The known results obtained from the temporal theory of instability showed that the flow was un stable in the lmiit of zero Reynolds numbers. The present theory predicted the neutral stability in the same limit. The discrepancy was explained. And based on the mechanical energy equation, a new mechanism of instability was found. The new mechanism was associated with the convective nature of the disturbance which was not Galilei invariant.
- flow instability /
- fiml coating /
- energy budget /
- low Reynolds number /
- Galilei invariant

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参考文献(23)

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