Kolmogorov 4/5 law, nonlocality, and sweeping decorrelation hypothesis

M. Kholmyansky; A. Tsinober

doi:10.1063/1.2907201

Kolmogorov 4/5 law, nonlocality, and sweeping decorrelation hypothesis

M. Kholmyansky, A. Tsinober^*

^*Corresponding author for this work

Fluid Mechanics and Heat Transfer

Research output: Contribution to journal › Conference article › peer-review

Abstract

We report results of experiments at large Reynolds numbers, confirming the equivalent form of the Kolmogorov 4/5 law obtained recently by Hosokawa [Prog. Theor. Phys. 118, 169 (2007)]. This, as well as purely kinematic exact relations, demonstrates one of the important aspects of nonlocality of turbulent flows in the inertial range and stands in contradiction with the sweeping decorrelation hypothesis understood as statistical independence between large and small scales.

Original language	English
Article number	041704
Journal	Physics of Fluids
Volume	20
Issue number	4
DOIs	https://doi.org/10.1063/1.2907201
State	Published - Apr 2008
Event	Symposium of the International Union of Theoretical and Applied Mechanics on Recent Advances in Multiphase Flows: Numerical and Experimental, IUTAM - Istanbul, Turkey Duration: 11 Jun 2007 → 14 Jun 2007

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10.1063/1.2907201

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abstract = "We report results of experiments at large Reynolds numbers, confirming the equivalent form of the Kolmogorov 4/5 law obtained recently by Hosokawa [Prog. Theor. Phys. 118, 169 (2007)]. This, as well as purely kinematic exact relations, demonstrates one of the important aspects of nonlocality of turbulent flows in the inertial range and stands in contradiction with the sweeping decorrelation hypothesis understood as statistical independence between large and small scales.",

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AB - We report results of experiments at large Reynolds numbers, confirming the equivalent form of the Kolmogorov 4/5 law obtained recently by Hosokawa [Prog. Theor. Phys. 118, 169 (2007)]. This, as well as purely kinematic exact relations, demonstrates one of the important aspects of nonlocality of turbulent flows in the inertial range and stands in contradiction with the sweeping decorrelation hypothesis understood as statistical independence between large and small scales.

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Kolmogorov 4/5 law, nonlocality, and sweeping decorrelation hypothesis

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