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
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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 47.27.-i – Turbulent flows, convection, and heat transfer / 47.27.Eq – Turbulence simulation and modeling / 47.27.Gs – Isotropic turbulence; homogeneous turbulence
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005