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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 243-250.

• 论文 • 上一篇    下一篇

ON THE STABILITY OF DISTORTED LAMINAR FLOW(Ⅱ)——THE LINEAR STABILITY ANALYSIS OF DISTORTED PARALLEL SHEAR FLOW

周哲玮   

  1. Shanghai Universitily of Technology; Shanghai Institute of Applied Mathematics and Mechanics. Shanghai
  • 收稿日期:1987-12-04 出版日期:1989-03-18 发布日期:1989-03-18

ON THE STABILITY OF DISTORTED LAMINAR FLOW(Ⅱ)——THE LINEAR STABILITY ANALYSIS OF DISTORTED PARALLEL SHEAR FLOW

Zhou Zhe-wei   

  1. Shanghai Universitily of Technology; Shanghai Institute of Applied Mathematics and Mechanics. Shanghai
  • Received:1987-12-04 Online:1989-03-18 Published:1989-03-18

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摘要： Based on the hydrodynamic stability theory of distorted laminar flow and the kind of distortion profiles on the mean velocity in parallel shear flow given in paper [1], this paper investigates the linear stability behaviour of parallel shear flow, presents unstable results of plane Couette flow and pipe Poiseuille flow to two-dimensional or axisymmetric disturbances for the first time, and obtains neutral curves of these two motions under certain definition.

Abstract: Based on the hydrodynamic stability theory of distorted laminar flow and the kind of distortion profiles on the mean velocity in parallel shear flow given in paper [1], this paper investigates the linear stability behaviour of parallel shear flow, presents unstable results of plane Couette flow and pipe Poiseuille flow to two-dimensional or axisymmetric disturbances for the first time, and obtains neutral curves of these two motions under certain definition.

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