Transient Growth in Exactly Counter-Rotating Couette–Taylor Flow

被引：0

作者：

Hristina Hristova

Sébastien Roch

Peter J. Schmid

Laurette S. Tuckerman

机构：

[1] Ecole Polytechnique de Montréal,

[2] C.P. 6079,undefined

[3] succ. Centre-ville Montréal (Qc) H3C 3A7,undefined

[4] Canada and Ecole Polytechnique,undefined

[5] 91128 Palaiseau,undefined

[6] France,undefined

[7] Department of Applied Mathematics,undefined

[8] University of Washington,undefined

[9] Box 352420,undefined

[10] Seattle,undefined

[11] WA 98195,undefined

[12] U.S.A. and Laboratoire pour l'Hydrodynamique à l'Ecole Polytechnique (LADHYX-CNRS),undefined

[13] 91128 Palaiseau,undefined

[14] France,undefined

[15] Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI-CNRS),undefined

[16] B.P. 133,undefined

[17] 91403 Orsay,undefined

[18] France and Ecole Polytechnique,undefined

[19] 91128 Palaiseau,undefined

[20] France,undefined

来源：

Theoretical and Computational Fluid Dynamics | 2002年 / 16卷

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摘要：

Transient growth due to non-normality is investigated for the Couette-Taylor problem with counter-rotating cylinders as a function of aspect ratio η and Reynolds number Re. For all Re≤500, transient growth is enhanced by curvature, i.e. is greater for η<1 than for η=1, the plane Couette limit. For fixed Re>130, it is found that the greatest transient growth is achieved for η on the linear stability boundary. Transient growth is approximately 20% higher near the Couette-Taylor linear stability boundary at Re=310, η=0.986 than at Re=310, η=1, near the threshold observed for transition in plane Couette flow. For 106<Re<130, the greatest transient growth occurs for a value of η between the linear stability boundary and one. For Re<106, the flow is linearly stable and the greatest transient growth occurs for a value of η less than one. The energy in the optimal inputs is primarily meridional; that in the optimal outputs is primarily azimuthal. Pseudospectra are calculated for two contrasting cases.

引用

页码：43 / 48

页数：5