The Application of Multi-Scale Perturbation Method to the Stability Analysis of Plane Couette Flow

zhou Zhe-wei

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(10): 873-877

zhou Zhe-wei. The Application of Multi-Scale Perturbation Method to the Stability Analysis of Plane Couette Flow[J]. Applied Mathematics and Mechanics, 1994, 15(10): 873-877.

Citation:

zhou Zhe-wei. The Application of Multi-Scale Perturbation Method to the Stability Analysis of Plane Couette Flow[J]. Applied Mathematics and Mechanics, 1994, 15(10): 873-877.

Citation:

zhou Zhe-wei. The Application of Multi-Scale Perturbation Method to the Stability Analysis of Plane Couette Flow[J]. Applied Mathematics and Mechanics, 1994, 15(10): 873-877.

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The Application of Multi-Scale Perturbation Method to the Stability Analysis of Plane Couette Flow

zhou Zhe-wei

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1993-12-15
Publish Date: 1994-10-15

Abstract

Abstract

This paper applies the multi-scale perturbation method suggested by Ref[3] to investigate the linear stability behavior of distorted plane Couette.flow.Using thismethod,the unstable Tollmien-Schlichting wave in plane Couette flow can be found,but not the most unstable mode.By comparing the results of this paper with those ofRef.[3],the effectiveness of this method is investigated.
- stability,
- multi-scale perturbation method,
- bifurcation frominfinity

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References(3)

References

[1]	周哲玮,经过修正的层流流动的流动稳定性问题(I),应用数学和力学,10(2)(3)(4)(1989),115-129;231-238;285-295.
[2]	周哲玮,经过修正的平面Couette流的非线性稳定性研究,应用数学和力学.12(5)(1991),415-419.
[3]	周哲玮,非定常修正下平面Poiseuille流动的线性稳定性性质,应用数学和力学,12(6)(1991),509-514.