Transient growth in exactly counter-rotating Couette-Taylor flow

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

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)43-48
Number of pages6
JournalTheoretical and Computational Fluid Dynamics
Issue number1
StatePublished - Nov 1 2002
Externally publishedYes

Bibliographical note

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

ASJC Scopus subject areas

  • Computational Mechanics
  • Engineering(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics


Dive into the research topics of 'Transient growth in exactly counter-rotating Couette-Taylor flow'. Together they form a unique fingerprint.

Cite this