A universal integral scaling of the mean velocity profiles in turbulent wall-bounded flows

TL;DR

This paper introduces a universal integral scaling method for mean velocity profiles in turbulent wall-bounded flows, applicable across different flow types and Reynolds numbers, unifying various normalization schemes.

Contribution

The paper proposes a new universal integral scaling approach that unifies the normalization of mean velocity profiles in diverse turbulent flows, including compressible and adverse pressure-gradient flows.

Findings

Universal scaling applies across flow types

Effective normalization scheme demonstrated

Reynolds number independence shown

Abstract

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some with a good degree of success. An alternative, universal scaling is presented, where an integrated velocity serves as a universal template for incompressible, adverse pressure-gradient and compressible flows.