Refined Similarity Hypothesis for Transverse Structure Functions in Fluid Turbulence
- 22 September 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 79 (12) , 2253-2256
- https://doi.org/10.1103/physrevlett.79.2253
Abstract
We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis (RSH) needs to be modified for transverse velocity increments, and propose an alternative. In this new form, transverse velocity increments bear the same relation to locally averaged enstrophy (squared vorticity) as longitudinal velocity increments bear in RSH to locally averaged dissipation. We support this hypothesis by analyzing high-resolution numerical simulation data for isotropic turbulence. RSH and its proposed modification for transverse velocity increments appear to represent two independent scaling groups.Keywords
All Related Versions
This publication has 30 references indexed in Scilit:
- THE PHENOMENOLOGY OF SMALL-SCALE TURBULENCEAnnual Review of Fluid Mechanics, 1997
- Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. Part 1. Velocity fieldJournal of Fluid Mechanics, 1996
- Kolmogorov’s refined similarity hypothesis for hyperviscous turbulencePhysical Review E, 1996
- Is the Kolmogorov Refined Similarity Relation Dynamic or Kinematic?Physical Review Letters, 1995
- Kolmogorov's refined similarity hypotheses for turbulence and general stochastic processesReviews of Modern Physics, 1994
- On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulencePhysics of Fluids A: Fluid Dynamics, 1993
- Experimental evidence supporting Kolmogorov’s refined similarity hypothesisPhysics of Fluids A: Fluid Dynamics, 1992
- Experimental verification of the Kolmogorov refined similarity hypothesisPhysics of Fluids A: Fluid Dynamics, 1992
- Kolmogorov’s refined similarity hypothesesPhysical Review Letters, 1992
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds numberJournal of Fluid Mechanics, 1962