Modeling helicity dissipation-rate equation

TL;DR

This paper derives a transport equation for the dissipation rate of turbulent helicity using a statistical closure theory, avoiding heuristic modeling by assuming an algebraic helicity scaling.

Contribution

It introduces a novel derivation of the helicity dissipation rate equation based on analytical closure, bypassing heuristic assumptions.

Findings

Derived a transport equation for turbulent helicity dissipation rate.

Established that algebraic helicity scaling leads to the transport equation.

Provides a theoretical foundation for modeling turbulent helicity dissipation.

Abstract

Transport equation of the dissipation rate of turbulent helicity is derived with the aid of a statistical analytical closure theory of inhomogeneous turbulence. It is shown that an assumption on the helicity scaling with an algebraic relationship between the helicity and its dissipation rate leads to the transport equation of the turbulent helicity dissipation rate without resorting to a heuristic modeling.