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

Zhou Zhe-wei

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Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(4): 285-295.

Citation:

Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(4): 285-295.

Citation:

Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(4): 285-295.

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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

Received Date: 1987-12-04
Publish Date: 1989-04-15

Abstract

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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References(13)

References

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