Co-spectrum and mean velocity in turbulent boundary layers

Gabriel G. Katul, Amilcare Porporato, Costantino Manes, Charles Meneveau

Research output: Contribution to journalLetter

27 Scopus citations

Abstract

Connections are explored between spectral descriptions of turbulence and the mean velocity profile in the equilibrium layer of wall-bounded flows using a modeled budget for the co-spectral density. Using a standard model for the wall normal velocity variance and a Rotta-like return-to-isotropy closure for the pressure-strain effects, the co-spectrum is derived. The approach establishes a relation between the von Kármán (κ), one-dimensional Kolmogorov (CK'), and Rotta (A) constants, namely, κ=(4A/7CK')-3/4. Depending on the choices made about small-scale intermittency corrections, the logarithmic mean velocity profile or a power-law profile with an exponent that depends on the intermittency correction are derived thereby offering a new perspective on a long standing debate.

Original languageEnglish (US)
Article number091702
JournalPhysics of Fluids
Volume25
Issue number9
DOIs
StatePublished - Sep 18 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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