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

Zhou Zhe-wei

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Zhou Zhe-wei. A Kind of Distortion of Mean Velocity Profile in Pipe Poiseuille Flow and Its Stability Behaviour[J]. Applied Mathematics and Mechanics, 1988, 9(1): 73-82.

Citation:

Zhou Zhe-wei. A Kind of Distortion of Mean Velocity Profile in Pipe Poiseuille Flow and Its Stability Behaviour[J]. Applied Mathematics and Mechanics, 1988, 9(1): 73-82.

Citation:

Zhou Zhe-wei. A Kind of Distortion of Mean Velocity Profile in Pipe Poiseuille Flow and Its Stability Behaviour[J]. Applied Mathematics and Mechanics, 1988, 9(1): 73-82.

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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

Received Date: 1986-07-21
Publish Date: 1988-01-15

Abstract

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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References(24)

References

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