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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Zhou Zhe-wei, On the stability of distorted laminar flow (I), (II), (III),Applied Mathematics and Mechanics,10, 2, 3, 4 (1989).
Zhou Zhe-wei, On the nonlinear stability behaviour of distorted plane Couette flow,Applied Mathematics and Mechanics,12, 5 (1991).
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang
This work is supported by National Science Foundation and the Science Foundation of Shanghai University of Technology.
The author thanks Mr. Sun Qi-ren sincerely for the beneficial discussions with him.
Rights and permissions
About this article
Cite this article
Zhe-wei, Z. The linear stability of plane Poiseuille flow under unsteady distortion. Appl Math Mech 12, 539–545 (1991). https://doi.org/10.1007/BF02015567
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02015567