Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests

Details Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests

1997-01-16

arxiv.org/abs/chao-dyn/9701014v1

Nonlinear Sciences

Chaotic Dynamics

PRL, Submitted. REVTeX, 4 pages, 6 figs.(not included). Online (HTML) version and PS Source of the paper with figures availabl

Scientific paper

10.1103/PhysRevLett.79.3174

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.

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