Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (4): 347-357.

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ASYMPTOTIC ANALYSIS OF STABILITY PROBLEM OF PLANE POISEUILLE FLOW FOR HIGH REYNOLDS NUMBER

Wang Fa-min 1   

  1. 1. Institute of Mechanics, Academia Sinica, Beijing;
    2. National University of Singapore, Singapore
  • Received:1987-01-11 Online:1988-04-18 Published:1988-04-18

Abstract: A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a "triple-deck" structural framework, the qualitative behaviour oj the eigenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately.

Key words: homotopy analysis method, micropolar fluid, expanding or contracting wall, porous channel

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