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On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence
Authors:L.?Chevillard  author-information"  >  author-information__contact u-icon-before"  >  mailto:Laurent.Chevillard@ens-lyon.fr"   title="  Laurent.Chevillard@ens-lyon.fr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,B.?Castaing,E.?Lévêque
Affiliation:(1) Laboratoire de Physique, CNRS, École normale supérieure de Lyon, Grenoble, France;(2) Laboratoire Écoulements Géophysiques et Industriels, CNRS, Université Grenoble 1, Grenoble, France
Abstract:Intermittency, measured as $log
left({F(r)}/{3}right)$, where F(r) is the flatness of velocityincrements at scale r, is found to rapidly increase as viscouseffects intensify, and eventually saturate at very small scales.This feature defines a finite intermediate range ofscales between the inertial and dissipation ranges, that we shallcall near-dissipation range. It is argued that intermittency ismultiplied by a universal factor, independent of the Reynoldsnumber 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 velocityincrements in the near-dissipation range strongly depend on the Reynolds number.
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