Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (4): 297-307.

• 论文 • 上一篇    下一篇

ON THE STABILITY OF DISTORTED LAMINAR FLOW(III)--THE NONLINEAR STABILITY ANALYSIS OF DISTORTED PARALLEL SHEAR FLOW

周哲玮   

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

ON THE STABILITY OF DISTORTED LAMINAR FLOW(III)--THE NONLINEAR STABILITY ANALYSIS OF DISTORTED PARALLEL SHEAR FLOW

Zhou Zhe-wei   

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

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 nonlinear stability behaviour of parallel shear flow, carries on stability calculation taking account of the perturbations of background turbulence noise under certain assumption, and obtains some results in accordance qualitatively with those of experiment for plane Poiseuille flow and pipe Poiseuille flow.

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 nonlinear stability behaviour of parallel shear flow, carries on stability calculation taking account of the perturbations of background turbulence noise under certain assumption, and obtains some results in accordance qualitatively with those of experiment for plane Poiseuille flow and pipe Poiseuille flow.

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