Most singular vortex structures in fully developed turbulence

Abstract

Using high Reynolds number experimental data, we search for most dissipative, most intense structures. These structures possess a scaling predicted by log-Poisson model for the dissipation field ${\epsilon }_r$. The probability distribution function for the exponents $\alpha$, ${\epsilon }_r\sim e^{\alpha a}$, has been constructed, and compared with Poisson distribution. These new experimental data suggest that the most intense structures have co-dimension less than 2. The log-Poisson statistics is compared with log-binomial which follows from the random $\beta$-model.

5 pages, 3 figures