Taylor's dissipation surrogate and its associated anomaly

TL;DR

This paper demonstrates that Taylor's dissipation surrogate, derived from the Karman-Howarth equation, effectively estimates inertial transfer and approaches true dissipation at high Reynolds numbers in stationary isotropic turbulence.

Contribution

It reveals that Taylor's surrogate is fundamentally linked to inertial transfer and converges to actual dissipation as Reynolds number increases.

Findings

Taylor's surrogate derived from Karman-Howarth equation

Surrogate equals inertial transfer, not dissipation, at finite Reynolds numbers

Converges to true dissipation as Reynolds number tends to infinity

Abstract

It is shown that, for stationary isotropic turbulence, Taylor's well known surrogate for the dissipation can be derived directly from the Karman-Howarth equation and is in fact a surrogate for inertial transfer, which becomes equal to the dissipation rate as the Reynolds number tends to infinity.