Fusion rules in navier-stokes turbulence

First experimental tests

Adrienne L. Fairhall, Brindesh Dhruva, Victor S. L'vov, Itamar Procaccia, Katepalli R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

We present the first experimental tests of the recently derived fusion rules for Navier-Stokes turbulence. The fusion rules address the asymptotic properties of many-point correlate 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. For inertial-range separations and for velocity increments which are not too large, a simple linear relation appears to exist for the Laplacian of the velocity fluctuation conditioned on velocity increments.

Original languageEnglish (US)
Pages (from-to)3174-3177
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number17
StatePublished - Oct 27 1997

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fusion
turbulence
asymptotic properties
ingredients

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  • Physics and Astronomy(all)

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Fairhall, A. L., Dhruva, B., L'vov, V. S., Procaccia, I., & Sreenivasan, K. R. (1997). Fusion rules in navier-stokes turbulence: First experimental tests. Physical Review Letters, 79(17), 3174-3177.

Fusion rules in navier-stokes turbulence : First experimental tests. / Fairhall, Adrienne L.; Dhruva, Brindesh; L'vov, Victor S.; Procaccia, Itamar; Sreenivasan, Katepalli R.

In: Physical Review Letters, Vol. 79, No. 17, 27.10.1997, p. 3174-3177.

Research output: Contribution to journalArticle

Fairhall, AL, Dhruva, B, L'vov, VS, Procaccia, I & Sreenivasan, KR 1997, 'Fusion rules in navier-stokes turbulence: First experimental tests', Physical Review Letters, vol. 79, no. 17, pp. 3174-3177.
Fairhall AL, Dhruva B, L'vov VS, Procaccia I, Sreenivasan KR. Fusion rules in navier-stokes turbulence: First experimental tests. Physical Review Letters. 1997 Oct 27;79(17):3174-3177.
Fairhall, Adrienne L. ; Dhruva, Brindesh ; L'vov, Victor S. ; Procaccia, Itamar ; Sreenivasan, Katepalli R. / Fusion rules in navier-stokes turbulence : First experimental tests. In: Physical Review Letters. 1997 ; Vol. 79, No. 17. pp. 3174-3177.
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