圆管Poiseuille流动中平均速度的一种修正剖面及其稳定性研究

周哲玮

圆管Poiseuille流动中平均速度的一种修正剖面及其稳定性研究

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: 1986-07-21
- 刊出日期: 1988-01-15

A Kind of Distortion of Mean Velocity Profile in Pipe Poiseuille Flow and Its Stability Behaviour

Zhou Zhe-wei

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

摘要

摘要: 本文给出了圆管Poiseuille流动中Hagen-Poiseuille速度剖面的一种修正剖面.这种剖面可看作是轴对称扰动各谐波分量非线性相互作用对平均流影响的一般体现.通过对这种速度剖面的稳定性研究,本文首次得到轴对称扰动造成失稳的结果,提出了Hagen-Poiseuille流动一种新的产生失稳的可能途径.

Abstract: This paper presents a kind of distortion of Hagen-Poiseuille velocity profile in pipe Poiseuilleflow. This distortion can be regarded as a general expression of the influence on the mean flow by nonlinear interaction of various components of axisymmetric perturbations. Through the investigation of the stability behaviour of this velocity profile, this paper obtains unstable result induced by axisymmetric perturbations for the first time, and thus presents a new possible approach which leads to instability of Hagen-Poiseuille flow.

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参考文献(24)

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