Analysis of velocity derivatives in turbulence based on generalized statistics
Graduate School of EIS, Yokohama Nat'l. University
- Kanagawa 240-8501, Japan
2 Institute of Physics, University of Tsukuba - Ibaraki 305-8571, Japan
Accepted: 12 July 2002
A theoretical formula for the probability density function (PDF) of velocity derivatives in a fully developed turbulent flow is derived with the multifractal aspect based on the generalized measures of entropy, i.e., the extensive Rényi entropy or the non-extensive Tsallis entropy, and is used, successfully, to analyze the PDFs observed in the direct numerical simulation (DNS) conducted by Gotoh et al. The minimum length scale in the longitudinal (transverse) inertial range of the DNS is estimated to be () in the unit of the Kolmogorov scale η.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer / 47.53.+n – Fractals / 47.52.+j – Chaos
© EDP Sciences, 2002