Transient growth in Taylor-Couette flow

Hristina Hristova, Sébastien Roch, Peter J. Schmid, Laurette S. Tuckerman

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

Transient growth due to non-normality is investigated for the Taylor-Couette 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 Re130 the greatest transient growth is achieved for η on the linear stability boundary. Transient growth is shown to be approximately 20% higher near the 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. The energy in the optimal inputs is primarily meridional; that in the optimal outputs is primarily azimuthal. Pseudospectra are calculated for two contrasting cases. For large curvature, η=0.5, the pseudospectra adhere more closely to the spectrum than in a narrow gap case, η=0.99. © 2002 American Institute of Physics.
Original languageEnglish (US)
Pages (from-to)3475-3484
Number of pages10
JournalPhysics of Fluids
Volume14
Issue number10
DOIs
StatePublished - Jan 1 2002
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

  • Condensed Matter Physics

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