MEASURING INTERMITTENCY PARAMETERS OF ENERGY CASCADE IN TURBULENCE

Method of measuring physical parameters characterizing intermittency effects of energy cascade in turbulence is presented in the framework of the Hierarchical Structure model. The method of β-test and γ-test enables to verify the existence of hierarchical symmetry and to derive the degree of singularity for the most intermittent structures. The method is applied to analyze data for a high Reynolds number, low-temperature helium turbulent flow. Evidence for universal hierarchical symmetry constant β is reported. Effects of finite statistical sample size are discussed in detail.