On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence



Intermittency, measured as \(\log \left({F(r)}/{3}\right)\), where F(r) is the flatness of velocity increments at scale r, is found to rapidly increase as viscous effects intensify, and eventually saturate at very small scales. This feature defines a finite intermediate range of scales between the inertial and dissipation ranges, that we shall call near-dissipation range. It is argued that intermittency is multiplied by a universal factor, independent of the Reynolds number Re, throughout the near-dissipation range. The (logarithmic) extension of the near-dissipation range varies as \(\sqrt{\log Re}\). As a consequence, scaling properties of velocity increments in the near-dissipation range strongly depend on the Reynolds number.


Spectroscopy Neural Network State Physics Reynolds Number Complex System 
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© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Authors and Affiliations

  1. 1.Laboratoire de PhysiqueGrenobleFrance
  2. 2.Laboratoire Écoulements Géophysiques et Industriels, CNRS, Université Grenoble 1GrenobleFrance

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