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

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.

19 pages, 7 figures. Accepted for publication in Physical Review E

References in corpus (5)

• Turbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory
• Roughness-induced critical phenomena in a turbulent flow
• Universal Model of Finite-Reynolds Number Turbulent Flow in Channels and Pipes
• Intermittency and rough-pipe turbulence
• Rough-conduit flows and the existence of fully developed turbulence

Cited by in corpus (5)

• Macroscopic effects of the spectral structure in turbulent flows
• Drag reduction by polymer additives from turbulent spectra
• Kadanoff-Baym equations for near-Kolmogorov turbulence
• Roughness-induced critical phenomenon analogy for turbulent friction factor explained by a co-spectral budget model
• An extension of the momentum transfer model to time-dependent pipe turbulence