Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (7): 617-623.

• Articles • Previous Articles     Next Articles

WEAKLY NONLINEAR THEORY VERSUS THEORY OF SECONDARY INSTABILITY FOR PLANE POISEUILLE FLOW

Zhao Geng-fu, Zhou Heng   

  1. Tianjing University, Tianjin
  • Received:1987-05-10 Online:1988-07-18 Published:1988-07-18
  • Supported by:

    This work is supported by the Science Fund of the Chinese Academy of Sciences

Abstract: In [1] the theory of secondary instability for plane Poiseuille flow was proposed. In this paper the weakly nonlinear theory is used to investigate the same problem. The results are consistent with those of the theorv of secondary instability. It indicates that for plane Poiseuille flow there exists a certain intrinsic relation between the weakly nonlinear theory and the theory of secondary instability.

Key words: compound channel, apparent shear stress, lateral momentum exchange, average velocity

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