From localized to expanding turbulence

  • B. HofEmail author
  • A. de Lozar
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 132)


In the transitional regime turbulence in pipe, channel and Couette flow appears in localized patches, sometimes called spots or puffs. These have a fixed length and a propagation speed which depends on the Reynolds number. It has been demonstrated in recent studies of pipe flow that such turbulent puffs have a finite lifetime and that their decay is a memoryless process [1, 2]. Generally this behaviour is consistent with the assumption that the turbulent state forms a chaotic saddle in phase space.


  1. 1.
    B.Hof, J. Westerweel, T. Schneider, and B. Eckhardt, Nature 443, 55 (2006).Google Scholar
  2. 2.
    Hof, B., de Lozar, A., van Kuik, D. J. and Westerweel, J., Phys. Rev. Lett. 101, 214501 (2008).CrossRefADSGoogle Scholar
  3. 3.
    I. Wygnansky and F. Champagne, J. Fluid Mech. 59, 281 (1973).CrossRefADSGoogle Scholar
  4. 4.
    M. Nishi, B. Ünsal, F Durst and G. Biswas J. Fluid Mech., 614, 425446 (2008).Google Scholar
  5. 5.
    A.Willis and R.R. Kerswell, Phys. Rev. Lett. 100, 124501 (2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Max Planck Institute for Dynamics and Self-OrganizationGöttingenGermany

Personalised recommendations