# Dissipative Effects on Inertial-Range Statistics at High Reynolds numbers

## TL;DR

This study uses long-duration turbulence measurements at high Reynolds numbers to reveal how dissipation affects inertial-range statistics, challenging the assumption of ideal scaling in classical turbulence theory.

## Contribution

It provides experimental evidence that dissipation impacts inertial-range statistics at scales larger than previously thought, using extensive data at high Reynolds numbers.

## Key findings

- Deviations from ideal scaling are linked to small scales.
- Dissipation influences inertial-range statistics beyond the near-dissipation range.
- High Reynolds number data reveals detailed structure functions in turbulence.

## Abstract

Using the unique capabilities of the Variable Density Turbulence Tunnel at the Max Planck Institute for Dynamics and Self-Organization, G\"{o}ttingen, we report experimental result on classical grid turbulence that uncover fine, yet important details of the structure functions in the inertial range. This was made possible by measuring extremely long time series of up to $10^{10}$ samples of the turbulent fluctuating velocity, which corresponds to $\mathcal{O}\left(10^5\right)$ large eddy turnover times. These classical grid measurements were conducted in a well-controlled environment at a wide range of high Reynolds numbers from $R_\lambda=110$ up to $R_\lambda=1600$, using both traditional hot-wire probes as well as NSTAP probes developed at Princeton University. We found that deviations from ideal scaling are anchored to the small scales and that dissipation influences the inertial-range statistics at scales larger than the near-dissipation range.