Modulation Equations for Roll Waves on Vertically Falling Films of a Power-Law Fluid

Abdelaziz Boudlal; Valery Liapidevskii

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Modulation Equations for Roll Waves on Vertically Falling Films of a Power-Law Fluid

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摘要

Waves of finite amplitude on a thin layer of non-Newtonian fluid modelled as a power-law fluid are considered. In the long wave approximation, the system of equations taking into account the viscous and nonlinear effects has the hyper- bolic type. For the two-parameter family of periodic waves in the film flow on a vertical wall the modulation equations for nonlinear wave trains are derived and investigated. The stability criterium for roll waves based on the hyperbolicity of the modulation equations is suggested. It is shown that the evolution of stable roll waves can be described by self-similar solutions of the modulation equations.

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来源
《力学国际期刊（英文）》 |2012年第1期|1-8|共8页
作者
Abdelaziz Boudlal; Valery Liapidevskii;
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作者单位

Laboratoire de Mecanique de Lille;

UMR CNRS 8107;

Villeneuve d’Ascq;

France;

Lavrentyev Institute of Hydrodynamics;

Novosibirsk State University;

Novosibirsk;

Russia;

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原文格式 PDF
正文语种 chi
中图分类力学;
关键词
Power-Law; Fluid; Thin; Film; Flow; Vertical; Wall; Modulation; Equations; Nonlinear; Stability; Roll; Wave;

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Modulation Equations for Roll Waves on Vertically Falling Films of a Power-Law Fluid

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