经过修正的层流流动的流动稳定性问题(Ⅲ)——经过修正的平行剪切流的非线性稳定性研究

周哲玮

经过修正的层流流动的流动稳定性问题(Ⅲ)——经过修正的平行剪切流的非线性稳定性研究

周哲玮

上海市应用数学和力学研究所

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出版历程
- 收稿日期: 1987-12-04
- 刊出日期: 1989-04-15

On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow

Zhou Zhe-wei

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

摘要

摘要: 本文根据文[1]给出的经过修正的层流流动的流动稳定性理论及平行剪切流中平均速度的一类修正剖面,研究了平行剪切流的非线性稳定性性质,并在本文的假设下,把背景湍流噪声的干扰引入了流动稳定性计算,对于平面Poiseuille流动和圆管Poiseuille流动,得到了与实验趋势相一致的结果.

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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参考文献(13)

[1]	周哲玮,经过修正的层流流动的流动稳定性问题(Ⅰ)-基本概念和理论,应用数学和力学,10,2(1989).
[2]	周哲玮,经过修正的层流流动的流动稳定性问题(Ⅱ)-经过修正的平行剪切流的线性稳定性研究.应用数学和力学.10,3 (1989).
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[8]	Patera,A.T.and S, A.Orszag,Finite-amplitude stability of axisymmetric pipe flow,J.Fluid Mech.,112 (1981),467.
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[11]	Nishoka,M.,S. Iida and Y, Ichikawa, An experimental investigation of the stability of plane Poiseuille flow,J, Fluid Mech.,72 (1975),244.
[12]	Leite, R.J.,An experimental investigation,of the stability of Poiseuille flow,J.Fluid Mech,5(1959),81.
[13]	Kuethe, A, M.,Some features of boundary layers and transition to turbulent flow,J, Aero, Sci.,23 (1956),446.