Rough-conduit flows and the existence of fully developed turbulence

Abstract

It is widely believed that at high Reynolds number (Re) all turbulent flows approach a state of "fully developed turbulence" defined by a unique, Re-independent statistics of the velocity fluctuations. Yet direct measurements of the velocity fluctuations have failed to yield clear-cut empirical evidence of the existence of fully developed turbulence. Here we relate the friction coefficient ($f$) of rough-conduit flows to the statistics of the velocity fluctuations. In light of experimental measurements of $f$, our results yield unequivocal evidence of the existence of fully developed turbulence.

arXiv comment5 pages, 2 figures

References in corpus (1)

• Does Fully-Developed Turbulence Exist? Reynolds Number Independence versus Asymptotic Covariance

Cited by in corpus (6)

• Macroscopic effects of the spectral structure in turbulent flows
• Intermittency and rough-pipe turbulence
• Friction factor for turbulent flow in rough pipes from Heisenberg's closure hypothesis
• Asymptotic turbulent friction in 2D rough-walled flows
• Drag reduction by polymer additives from turbulent spectra
• An extension of the momentum transfer model to time-dependent pipe turbulence