Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests
Abstract
We present the first experimental tests of the recently derived fusion rules for Navier-Stokes (N-S) turbulence. The fusion rules address the asymptotic properties of many-point correlation functions as some of the coordinates coalesce, and form an important ingredient of the nonperturbative statistical theory of turbulence. Here we test the fusion rules when the spatial separations lie within the inertial range, and find good agreement between experiment and theory. An unexpected result is a simple linear law for the Laplacian of the velocity fluctuation conditioned on velocity increments across large separations.
Cite
@article{arxiv.chao-dyn/9701014,
title = {Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests},
author = {Adrienne L. Fairhall and Brindesh Dhruva and Victor S. L'vov and Itamar Procaccia and Katepalli R. Sreenivasan},
journal= {arXiv preprint arXiv:chao-dyn/9701014},
year = {2009}
}
Comments
PRL, Submitted. REVTeX, 4 pages, 6 figs.(not included). Online (HTML) version and PS Source of the paper with figures available at http://lvov.weizmann.ac.il/onlinelist.html