# 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.

## Key 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.