Helicity Spectra and Dissipation

TL;DR

This paper investigates the helicity spectra and dissipation in turbulence using an asymptotic model, explaining experimental and DNS results and addressing divergence issues at high Reynolds numbers.

Contribution

It introduces a model-dependent analysis of helicity spectra and dissipation, clarifying their behavior and resolving divergence problems in turbulence.

Findings

Helicity spectra depend on the angle between vorticity and velocity.

The model explains experimental and DNS observed spectra.

Dissipation divergence at high Reynolds numbers is addressed.

Abstract

Both dissipation of helicity and it spectrum we are study on the basis of asymptotic model. Introduction into model dependence of angle between turbulent components vorticity and velocity on the governing parameters leads to the spectra of helicity observed experimentally and obtained by DNS model computations by various authors. At the same time, it settles the problem of helicity dissipation divergence with growing Reynolds number.