Extension of the Kida law in turbulence

Abstract

We extend the validity range of Kida's log-stable law of stability index α=1.65 and intermittency parameter μ=0.2 to a new range of Reynolds number. This law describes intermittencies in fully developed turbulent flows or more precisely the p.d.f. of turbulence dissipation. Former measurements of the hyper-flatness factors of order 4, 5, 6 of turbulent velocity increments, coming from both experimental works and numerical simulations are used. We show that the power-law variation of these hyper-flatness factors with Taylor scale based Reynolds numbers Re λ can be fitted, for Re λ ranging from 35 to 750, by a log-stable law of stability index α=1.65 and intermittency parameter μ=0.21. To cite this article: N. Rimbert, O. Séro-Guillaume, C. R. Mecanique 331 (2003).