Hydrodynamic Instability: Structure and Chaos

  • Jean-Pierre Boon
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 73)


It is about one century ago that Reynolds investigated hydro-dynamic transitions in pipe and channel flows; active work in this area of fluid dynamics has been pursued continuously since. Yet turbulence which appears as the ultimate stage of hydrodynamic flow remains one of the puzzling problems of classical physics. Turbulence manifests itself by chaotic behavior; developped turbulence is characterized by complete loss of spatial and temporal correlations and by its extreme sensitivity to initial conditions. Fully developed turbulence as it appears in flows past an obstacle is probably the most familiar example of turbulent flow;1 it is also the most complex and least well understood case of turbulence. It involves the excitation of a very large number of degrees of freedom according to Landau’s 1944 original picture of turbulence.2


Rayleigh Number Chaotic Behavior Fluid Layer Strange Attractor Convective Velocity 


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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • Jean-Pierre Boon
    • 1
    • 2
  1. 1.Faculté des SciencesUniversité Libre de BruxellesBruxellesBelgium
  2. 2.Physique de la Matière CondenséeUniversité de NiceNiceFrance

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