Properties of Turbulence with Zero and Nonzero Helicity

TL;DR

This paper investigates how the helicity of individual modes influences the spectral properties of isotropic turbulence, revealing the existence of characteristic scales that address helicity dissipation issues.

Contribution

It demonstrates that even without mean helicity, individual helical modes impact turbulence spectra and identifies scales related to helicity that resolve dissipation divergence problems.

Findings

Helicity of modes affects turbulence spectral behavior.

Existence of intermediate scales linked to helicity.

Resolution of helicity dissipation divergence for modes.

Abstract

The present paper deals with the study of spectral properties of the helical mode of uniform isotropic turbulence in the presence and in the absence of mean helicity. It is shown that even in the absence of mean helicity, the helicity of individual helical modes affects the spectral behavior of turbulence. Besides, it is shown that both in the presence and in the absence of mean helicity, intermediate characteristic scales connected with the presence of helicity in helical modes should exist. The existence of these scales makes it possible to solve the problem of helicity dissipation divergence for individual helical modes.