Reynolds stress scaling in the near-wall region

TL;DR

This paper introduces a new Reynolds stress scaling law for near-wall turbulence that accounts for wall shear stress fluctuations and large eddies, providing a Reynolds number independent profile.

Contribution

The paper presents a novel scaling approach that isolates Reynolds number effects in near-wall turbulence by emphasizing wall shear stress fluctuations and large eddy influence.

Findings

Reynolds stress profiles become Reynolds number independent with the new scaling.

Wall shear stress fluctuations are crucial in near-wall turbulence dynamics.

Large eddies significantly influence Reynolds number dependence in the near-wall region.

Abstract

A new scaling is derived that yields a Reynolds number independent profile for all components of the Reynolds stress in the near-wall region of wall bounded flows. The scaling demonstrates the important role played by the wall shear stress fluctuations and how the large eddies determine the Reynolds number dependence of the near-wall turbulence behavior.