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

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

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

王发民¹, 黄泽远²

1. Institute of Mechanics, Academia Sinica, Beijing;
2. National University of Singapore, Singapore

收稿日期:1987-01-11 出版日期:1988-04-18 发布日期:1988-04-18
通讯作者: Zhou Heng

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

Wang Fa-min 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

摘要/Abstract

摘要： 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.

关键词: homotopy analysis method, micropolar fluid, expanding or contracting wall, porous channel

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

王发民;黄泽远. ASYMPTOTIC ANALYSIS OF STABILITY PROBLEM OF PLANE POISEUILLE FLOW FOR HIGH REYNOLDS NUMBER[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(4): 347-357.

Wang Fa-min . ASYMPTOTIC ANALYSIS OF STABILITY PROBLEM OF PLANE POISEUILLE FLOW FOR HIGH REYNOLDS NUMBER[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(4): 347-357.

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

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

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