On the evolution of Couette flow energy
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Published:2010
Issue:3
Volume:59
Page:1437
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ISSN:1000-3290
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Container-title:Acta Physica Sinica
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language:
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Short-container-title:Acta Phys. Sin.
Author:
Zhang Liang ,Fu Wei-Ji ,Zhang Li-Feng ,Wu Hai-Yan ,Huang Hong ,
Abstract
In this paper, the Green function method is used to obtain the exact solution of Couette flow. By defining the Couette flow energy, the relative energy and the energy increase ratio, we discuss the relations between the structure of initial field and the evolution of Couette flow energy, the relations between the time corresponding to Couette flow energy attaining to its maximum and the structure of initial field together with the structure of initial field which can optimal excitated Couette flow energy increasing within a finite time interval. We further investigate the relations between the perturbed initial field and the evolution of Couette flow energy. The conclusions of this paper are supplementary to Farrell’s conclusions.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference14 articles.
1. ［1]Orr W M 1907 Proc.R.Irich Acad. A 27 69
2. ［2]Lin C C 1955 The theory of hydrodynamic instability（Cambridge Univ. Press） 155
3. ［3]Eliassen A E 1953 Inst.Weather Climate Res. 1
4. ［4]Holland E 1953 Geofys,Publ. 18 1
5. ［5]Case K M 1960 Phys.Fluids 3 43