Evolution Equation for Nonlinear Internal Wave in Stratified Liquid Film Based on Boundary-layer Theory

机译：基于边界层理论的层状液膜非线性内波演化方程

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Evolution equation for nonlinear internal wave in stratified liquid film was derived based on boundary-layer theory in this article. Firstly, the mathematical model was established for nonlinear internal wave (NLIW) in general stratified liquid film. Then, the model was simplified and the Long equation having viscosity term with boundary-layer theory was yielded. Finally, the modified Long equation was calculated approximately by using of perturbation method, and the nonlinear evolution equation was obtained for internal wave in stratified liquid film with hypothesis of shallow water.

机译：本文基于边界层理论推导了层状液膜中非线性内波的演化方程。首先，建立了一般分层液膜中非线性内波（NLIW）的数学模型。然后，简化了模型，得出了具有边界层理论的粘性项的Long方程。最后，利用摄动法近似地计算了修正后的Long方程，并以浅水为假设，得到了层状液膜内波的非线性演化方程。

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来源
《Recent progresses in fluid dynamics research》|2011年|294-298|共5页
会议地点 Guangzhou(CN)
作者
Y. L. Cheng; J. Ding; X. C. Fan;
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作者单位

Department of Power Engineering, North China Electric Power University, Baoding 071003, China;

Department of Power Engineering, North China Electric Power University, Baoding 071003, China;

Department of Power Engineering, North China Electric Power University, Baoding 071003, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类流体力学;
关键词
nonlinear internal wave; stratified liquid film; boundary layer theory; perturbation;

机译：非线性内波分层液膜边界层理论摄动;

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Evolution Equation for Nonlinear Internal Wave in Stratified Liquid Film Based on Boundary-layer Theory

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