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

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

2003-11-18

arxiv.org/abs/cond-mat/0311409v2

Eur. Phys. J. B 45, 561-567 (2005)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures, to appear in EPJB

Scientific paper

10.1140/epjb/e2005-00214-4

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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