PMID: 11308765Apr 20, 2001Paper

Cascades in helical turbulence

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P D Ditlevsen, P Giuliani

Abstract

We suggest the existence of a characteristic inner scale xi for helicity dissipation in a regime of hydrodynamic fully developed turbulence and estimate it on dimensional grounds. This scale is always larger than the Kolmogorov scale eta and their ratio eta/xi vanishes in the high Reynolds number limit, so the flow will always be helicity free in the small scales. These ideas are illustrated in a shell model of turbulence.

Citations

Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paolo GiulianiVictor Yakhot
Oct 26, 2005·Physical Review Letters·Tina KahniashviliBharat Ratra
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P D MininniA Pouquet
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Massimo De PietroAlexei A Mailybaev
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yeontaek ChoiChanghoon Lee
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Changping Yu, Zuoli Xiao
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Changping YuShiyi Chen

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