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

L. Chevillard (), B. Castaing and E. Lévêque

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 45, issue 4, 561-567

Abstract: 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2005-00214-4

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