Existence of k−1 power-law scaling in the equilibrium regions of wall-bounded turbulence explained by Heisenberg's eddy viscosity

Gabriel G Katul, Amilcare Porporato, Vladimir Nikora

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Abstract

The existence of a “−1” power-law scaling at low wavenumbers in the longitudinal velocity spectrum of wall-bounded turbulence was explained by multiple mechanisms; however, experimental support has not been uniform across laboratory studies. This letter shows that Heisenberg's eddy viscosity approach can provide a theoretical framework that bridges these multiple mechanisms and explains the elusiveness of the “−1” power law in some experiments. Novel theoretical outcomes are conjectured about the role of intermittency and very-large scale motions in modifying the k−1 scaling.
Original languageEnglish
Article number066311
Number of pages8
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume86
Issue number6-2
DOIs
Publication statusPublished - 13 Dec 2012

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Eddy Viscosity
eddy viscosity
scaling laws
Turbulence
Power Law
turbulence
Scaling
Intermittency
intermittency
scaling
Motion
Experiment
Framework

Cite this

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abstract = "The existence of a “−1” power-law scaling at low wavenumbers in the longitudinal velocity spectrum of wall-bounded turbulence was explained by multiple mechanisms; however, experimental support has not been uniform across laboratory studies. This letter shows that Heisenberg's eddy viscosity approach can provide a theoretical framework that bridges these multiple mechanisms and explains the elusiveness of the “−1” power law in some experiments. Novel theoretical outcomes are conjectured about the role of intermittency and very-large scale motions in modifying the k−1 scaling.",
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