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

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.