POF Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Physics of Fluids / Volume 14 / Issue 10 / ARTICLES

Phys. Fluids 14, 3475 (2002); doi:10.1063/1.1502658 (10 pages)

Transient growth in Taylor–Couette flow

Hristina Hristova1,2, Sébastien Roch1,2, Peter J. Schmid3,4, and Laurette S. Tuckerman5,2

1Ecole Polytechnique de Montréal, C.P. 6079, succ. Centre-ville, Montréal, Quebec H3C 3A7, Canada
2Ecole Polytechnique, 91128 Palaiseau, France
3Department of Applied Mathematics, University of Washington, Box 352420, Seattle, Washington 98195
4Laboratoire pour l’Hydrodynamique à l’Ecole Polytechnique (LADHYX-CNRS), 91128 Palaiseau, France
5Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI-CNRS), B.P. 133, 91403 Orsay Cedex, France

(Received 5 September 2001; accepted 2 July 2002; published online 5 September 2002)

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 Re<130 it is found that the greatest transient growth is achieved for η between the Taylor–Couette linear stability boundary, if it exists, and one, while for Re>130 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.

© 2002 American Institute of Physics

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

vortices, Couette flow, flow instability

PACS

ARTICLE DATA

Permalink
http://link.aip.org/link/doi/10.1063/1.1502658

PUBLICATION DATA

ISSN:

1070-6631 (print)  
1089-7666 (online)

Publisher:

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    G. I. Taylor, "Stability of a viscous fluid contained between two rotating cylinders," Philos. Trans. R. Soc. London, Ser. A 223, 289 (1923)PFADEB000004000008001637000001.

    R. Tagg, W. S. Edwards, H. L. Swinney, and P. S. Marcus, "Nonlinear standing waves in Couette–Taylor flow," Phys. Rev. A 39, 3734 (1989).

    W. F. Langford, R. Tagg, E. J. Kostelich, H. L. Swinney, and M. Golubitsky, "Primary instabilities and bicriticality in flow between counter-rotating cylinders," Phys. Fluids 31, 776 (1988)PFLDAS000031000004000776000001.

    K. M. Butler and B. F. Farrell, "Three-dimensional optimal perturbations in viscous shear flow," Phys. Fluids A 4, 1637 (1992)PFADEB000004000008001637000001.

    F. Waleffe, "Transition in shear flows. Nonlinear normality versus non-normal linearity," Phys. Fluids 7, 3060 (1995)PHFLE6000007000012003060000001.

    A. Meseguer, "Energy transient growth in the Taylor–Couette problem," Phys. Fluids 14, 1655 (2002)PHFLE6000014000005001655000001.

    H. Faisst and B. Eckhardt, "Transition from the Couette–Taylor system to the plane Couette system," Phys. Rev. E 61, 7227 (2000).

    A. Prigent, G. Grégoire, H. Chaté, O. Dauchot, and W. van Saarloos, "Large-scale finite-wavelength modulation within turbulent shear flows," Phys. Rev. Lett. 89, 014501 (2002).


For access to citing articles, you need to log in.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Transient growth in Taylor–Couette flow
  2. Stability analysis of perturbed plane Couette flow
  3. Bifurcation analysis of double-diffusive convection with opposing horizontal thermal and solutal gradients
Go to AIP Home
Copyright © American Institute of Physics
close