On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence

Abstract : Intermittency, measured as log(F(r)/3), 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.
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Submitted on : Tuesday, May 22, 2007 - 3:05:43 PM
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Laurent Chevillard, Bernard Castaing, Emmanuel Lévêque. On the Rapid Increase of Intermittency in the Near-Dissipation Range of Fully Developed Turbulence. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2005, 45, pp.561-567. ⟨hal-00148450⟩

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