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 $ε_r$. The probability distribution function for the exponents $α$, $ε_r\sim e^{αa}$, 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 $β$-model.