A KIND OF DISTORTION OF MEAN VELOCITY PROFILE IN PIPE POISEUILLE FLOW AND ITS STABILITY BEHAVIOUR

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.

Key words: Navier-Stokes equations, finite element, two-level method, overlapping domain decomposition, parallel algorithm

Zhou Zhe-wei . A KIND OF DISTORTION OF MEAN VELOCITY PROFILE IN PIPE POISEUILLE FLOW AND ITS STABILITY BEHAVIOUR. Applied Mathematics and Mechanics (English Edition), 1988, 9(1): 77-86.

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References

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