Eur. Phys. J. B 45, 561-567 (2005)
https://doi.org/10.1140/epjb/e2005-00214-4

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

¹ Laboratoire de Physique, CNRS, École normale supérieure de Lyon, France
² Laboratoire Écoulements Géophysiques et Industriels, CNRS, Université Grenoble 1, France

Corresponding author: ^a Laurent.Chevillard@ens-lyon.fr

Received: 21 December 2004
Revised: 25 March 2005
Published online: 13 July 2005

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 . As a consequence, scaling properties of velocity increments in the near-dissipation range strongly depend on the Reynolds number.