THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (10): 923-928.

THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

周哲玮

Shanghai Universily: Shaghai Institute of Applied Malhenialics and Mechanics, Shanghai

收稿日期:1993-12-15 出版日期:1994-10-18 发布日期:1994-10-18
基金资助:
Project supported by the National Natural Science Foundation of China and the Science Foundation of Shanghai University

THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

Zhou Zhe-wei

Shanghai Universily: Shaghai Institute of Applied Malhenialics and Mechanics, Shanghai

Received:1993-12-15 Online:1994-10-18 Published:1994-10-18
Supported by:
Project supported by the National Natural Science Foundation of China and the Science Foundation of Shanghai University

摘要/Abstract

摘要： This paper applies the multi-scale perturbation method suggested by Ref [3] toinvestigate the linear stability behavior of distorted plane Couette.flow. Using thismethod, the unstable Tollmien-Schlichting wave in plane Couette flow can be found,but not the most unstable mode. By comparing the results of this paper with those ofRef. [3], the effectiveness of this method is investigated.

关键词: Rayleigh damping, mode Ⅲ rupture, standard linear viscoelastic solid

Abstract: This paper applies the multi-scale perturbation method suggested by Ref [3] toinvestigate the linear stability behavior of distorted plane Couette.flow. Using thismethod, the unstable Tollmien-Schlichting wave in plane Couette flow can be found,but not the most unstable mode. By comparing the results of this paper with those ofRef. [3], the effectiveness of this method is investigated.

Key words: Rayleigh damping, mode Ⅲ rupture, standard linear viscoelastic solid

周哲玮. THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(10): 923-928.

Zhou Zhe-wei. THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(10): 923-928.

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THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

THE APPLICATION OF MULTI-SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

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