Friction factor for turbulent flow in rough pipes from Heisenberg's closure hypothesis

TL;DR

This paper demonstrates that the friction factor for turbulent flow in rough pipes can be derived using Heisenberg's closure hypothesis, revealing the spectral structure underlying previous empirical results.

Contribution

It shows that the main results of previous turbulent flow analysis can be derived from Heisenberg's turbulence closure hypothesis, linking spectral assumptions to friction factor predictions.

Findings

Friction factor results can be recovered from Heisenberg's hypothesis.

Highlights the spectral features underlying turbulent flow analysis.

Connects turbulence spectrum assumptions to empirical friction data.

Abstract

We show that the main results of the analysis of the friction factor for turbulent pipe flow reported in G. Gioia and P. Chakraborty (GC), Phys. Rev. Lett. 96, 044502 (1996) can be recovered by assuming the Heisenberg closure hypothesis for the turbulent spectrum. This highlights the structural features of the turbulent spectrum underlying GC's analysis.