Fractal Collapse in Developed Hydrodynamic Turbulence

Abstract

The problem of intermittency in developed hydrodynamic turbulence is considered. Explicit formulae taking into account effects of finite size of the inertial range are presented for the whole set of intermittency exponents. The formulae fit pretty well experimental data whose apparent discrepancies are attributed to different sizes of the inertial ranges in different experiments. Further predictions are given that can be verified by already existing experimental technique.

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