经过修正的平面Couette流的非线性稳定性研究
On the Nonlinear Stability Behaviour of Distorted Plane Couette Flow
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摘要: 本文讨论了经过修正的平面Couette流在二维扰动下的非线性稳定性性质,并同经过修正的平面Poiseuille流的非线性稳定性性质进行了比较.计算结果表明,对于有限振幅的扰动,平面Couette流比平面Poiseulle流更不稳定.
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关键词:
- 修正的平面Couette流 /
- 修正的平而Poiseuille流 /
- 非线性稳定性
Abstract: This paper discusses the nonlinear stability behaviour of distorted plane Couette flow to 2-dimensional disturbances, and compares it with that of distorted plane Poiseuille flow. The results show that plane Couette flow is more unstable than plane Poiseuille flow to finite-amplitude disturbances. -
[1] 周哲玮.经过修正的层流流动的流动稳定性问题,上海工业大学博士论文(1987年7月),部分发表于应用数学和力学,10,2、3,4(1989). [2] Kao,T.W.and C.Park,Experimental investigations of the stability of channel flow:Part 1. Flow of a single liquid in a rectangular channel,J.Fluid Mech.,43(1970),145. [3] Reichardt,H.,Gesetzm(?)ssigkeiten der geradlinigen turbulenten Couette Strömung,Mitteilungen aus den Max-Planck Institute für Strömungsforschung und der Aerodynamischen Versuchsanstalt,22(1959). [4] Rosenblat,S.and S.H.Davis,Bifurcation from infinity,SIAM J.Appl.Math.,37,1(1979),1. [5] Zhou,H.,On the nonlinear theory of plane Poiseuille flow in the subcritical range,Proc.R.Soc.London,A381(1982),407.
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