THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (6): 539-545.

THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION

周哲玮

Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

收稿日期:1990-06-10 出版日期:1991-06-18 发布日期:1991-06-18
基金资助:
This work is supported by National Science Foundation;the Science Foundation of Shanghai University of Technology

THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION

Zhou Zhe-wei

Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received:1990-06-10 Online:1991-06-18 Published:1991-06-18
Supported by:
This work is supported by National Science Foundation;the Science Foundation of Shanghai University of Technology

摘要/Abstract

摘要： This paper investigates the linear stability behaviour of plane Poiseuille flow under unsteady distortion by multiscale perturbation method and discusses further the problem proposed by paper [1]. The results show that in the initial period of disturbance development, the distortion profiles presented by paper [1] will make the disturbances grow up, thus augmenting the possibility of instability.

关键词: fluid flow, stability, unsteady, plane Poiseuille flow, multiple scale method

Abstract: This paper investigates the linear stability behaviour of plane Poiseuille flow under unsteady distortion by multiscale perturbation method and discusses further the problem proposed by paper [1]. The results show that in the initial period of disturbance development, the distortion profiles presented by paper [1] will make the disturbances grow up, thus augmenting the possibility of instability.

Key words: fluid flow, stability, unsteady, plane Poiseuille flow, multiple scale method

周哲玮. THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(6): 539-545.

Zhou Zhe-wei. THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(6): 539-545.

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THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION

THE LINEAR STABILITY OF PLANE POISEUILLE FLOW UNDER UNSTEADY DISTORTION

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