Universal dissipation scaling for non-equilibrium turbulence

TL;DR

This paper demonstrates that the non-classical energy dissipation behavior observed in fractal grid turbulence also applies to regular grid turbulence at high Reynolds numbers, revealing a universal dissipation scaling law.

Contribution

It provides experimental evidence that the non-classical dissipation scaling law is universal across different turbulence generation methods at high Reynolds numbers.

Findings

Non-classical dissipation scaling observed in fractal grid turbulence.

Universal dissipation behavior also found in regular grid turbulence.

Dissipation coefficient scales with Reynolds number as f(Re_M) ~ Re_M.

Abstract

It is experimentally shown that the non-classical high Reynolds number energy dissipation behaviour, $C_{\epsilon} \equiv \epsilon L/u^3 = f(Re_M)/Re_L$, observed during the decay of fractal square grid-generated turbulence is also manifested in decaying turbulence originating from various regular grids. For sufficiently high values of the global Reynolds numbers $Re_M$, $f(Re_M)\sim Re_M$.