Refined Similarity Hypothesis for Transverse Structure Functions in Fluid Turbulence

1997/04/06 by Shiyi Chen, Katepalli R. Sreenivasan, Mark Nelkin +1 · 5 citations
Economics, Econometrics and Finance · Engineering · Environmental Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physrevlett.79.2253

4 pages, 5 figures

arxiv created 1997/04/06 · openalex publication_date 1997/09/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Cited by

• Intermittency in the Joint Cascade of Energy and Helicity
• An inertial range crossover in structure functions
• Application of extended self-similarity in turbulence
• Different cascade speeds for longitudinal and transverse velocity increments of small-scale turbulence
• Statistics of pressure and of pressure-velocity correlations in isotropic turbulence