The Global Geometry of Turbulence

Impact of Nonlinear Dynamics

  • Javier Jiménez

Part of the NATO ASI Series book series (NSSB, volume 268)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Shear Flows: Experimental Observations

  3. Shear Flows: Control Experiments

    1. Front Matter
      Pages 55-55
    2. E. Roesch, F. Ohle, H. Eckelmann, A. Hübler
      Pages 111-119
  4. Shear Flows: Numerical Experiments

  5. Closed Flows: Experiments

    1. Front Matter
      Pages 181-181
    2. C. Pérez-García, S. Ciliberto, E. Pampaloni
      Pages 191-198
  6. Theoretical Models: The Navier-Stokes and Related Equations

    1. Front Matter
      Pages 199-199
    2. P. G. Saffman
      Pages 201-209
    3. Gal Berkooz, Philip Holmes, John Lumley
      Pages 211-220
    4. M. H. Jensen, G. Paladin, A. Vulpiani
      Pages 221-231
    5. Josep M. Massaguer
      Pages 247-256
    6. Alain Pumir, Eric D. Siggia
      Pages 265-270
  7. Theoretical Models: Amplitude and Model Equations

    1. Front Matter
      Pages 271-271
    2. Yves Pomeaul
      Pages 273-286
    3. J. C. Antoranz, M. A. Rubio
      Pages 287-295
    4. Tomas Bohr
      Pages 297-308
  8. Panel Discussions

    1. Front Matter
      Pages 329-329
    2. Javier Jiménez
      Pages 341-346
  9. Back Matter
    Pages 357-372

About this book


The aim of this Advanced Research Workshop was to bring together Physicists, Applied Mathematicians and Fluid Dynamicists, including very specially experimentalists, to review the available knowledge on the global structural aspects of turbulent flows, with an especial emphasis on open systems, and to try to reach a consensus on their possible relationship to recent advances in the understanding of the behaviour of low dimensional dynamical systems and amplitude equations. A lot has been learned during recent years on the non-equilibrium behaviour of low dimen­ sional dynamical systems, including some fluid flows (Rayleigh-Benard, Taylor-Couette, etc. ). These are mostly closed flows and many of the global structural features of the low dimensional systems have been observed in them, including chaotic behaviour, period doubling, intermit­ tency, etc. . It has also been shown that some of these flows are intrinsically low dimensional, which accounts for much of the observed similarities. Open flows seem to be different, and experimental observations point to an intrinsic high dimensionality. However, some of the tran­ sitional features of the low dimensional systems have been observed in them, specially in the intermittent behaviour of subcritical flows (pipes, channels, boundary layers with suction, etc. ), and in the large scale geometry of coherent structures of free shear flows (mixing layers, jets and wakes).


dynamics mixing nonlinear dynamics stability turbulence turbulent flow

Editors and affiliations

  • Javier Jiménez
    • 1
  1. 1.School of AeronauticsUniversidad PolitécnicaMadridSpain

Bibliographic information

  • DOI
  • Copyright Information Plenum Press, New York 1991
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6670-6
  • Online ISBN 978-1-4615-3750-2
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site