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

Research output: Contribution to journalArticle

31 Scopus citations

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 (US)
Article number066311
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number6
DOIs
StatePublished - Dec 13 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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