On the Stability of Distorted Laminar Flow(Ⅱ)——The Linear Stability Analysis of Distorted Parallel Shear Flow

Zhou Zhe-wei

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Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅱ)——The Linear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(3): 231-238.

Citation:

Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅱ)——The Linear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(3): 231-238.

Citation:

Zhou Zhe-wei. On the Stability of Distorted Laminar Flow(Ⅱ)——The Linear Stability Analysis of Distorted Parallel Shear Flow[J]. Applied Mathematics and Mechanics, 1989, 10(3): 231-238.

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On the Stability of Distorted Laminar Flow(Ⅱ)——The Linear 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: 1989-03-15

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 linear stability behaviour of parallel shear flow, presents unstable results of plane Couette flow and pipe Poiseuille flow to two-dimensional or axisymmetric disturbances for the first time, and obtains neutral curves of these two motions under certain definition.

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References(5)

References

[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,圆管Poiseuille流动中平均速度的一种修正剖面及其稳定性研究,应用数学和力学,9,1(1988).
[3]	Gill,A.E.,A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe,J.Fluid Mech.,21(1962),503.
[4]	Orszag,S.A.,Accurate solution of the Orr-Sommerfeld stability equation,J.Fluid Mech.,50(1971),689.
[5]	Deardoff J.W.,On the stability of viscous plane Couette flow,J.Fluid Mech.,15(1963),623.