Applied Mathematics and Mechanics

, Volume 15, Issue 10, pp 923–928 | Cite as

The application of multi-scale perturbation method to the stability analysis of plane couette flow

  • Zhou Zhe-wei


This paper applies the multi-scale perturbation method suggested by Ref. [3] to investigate the linear stability behavior of distorted plane Couette flow. Using this method, 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 of Ref. [3], the effectiveness of this method is investigated.

Key words

stability multi-scale perturbation method bifurcation from infinity 


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  1. [1]
    Zhou Zhe-wei, On the stability of distorted laminar flow (I) (II) (III),Applied Mathematics and Mechanics (English Ed.),10, 2. 3. 4, (1989), 123–138; 243–250; 297–307.MATHGoogle Scholar
  2. [2]
    Zhou Zhe-wei, On the nonlinear stability behaviour of distorted plane Couette flow.Applied Mathematics and Mechanics (English Ed.),12, 5, (1991), 439–443.MATHGoogle Scholar
  3. [3]
    Zhou Zhe-wei, The linear stability of plane Poiseuille flow under unsteady distortion.Applied Mathematics and Mechanics (English Ed.),12, 6, (1991), 539–545.MATHGoogle Scholar

Copyright information

© SUT 1994

Authors and Affiliations

  • Zhou Zhe-wei
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghai

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