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Co-spectrum and mean velocity in turbulent boundary layers

Publication ,  Journal Article
Katul, GG; Porporato, A; Manes, C; Meneveau, C
Published in: Physics of Fluids
September 18, 2013

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. © 2013 AIP Publishing LLC.

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Published In

Physics of Fluids

DOI

ISSN

1070-6631

Publication Date

September 18, 2013

Volume

25

Issue

9

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Katul, G. G., Porporato, A., Manes, C., & Meneveau, C. (2013). Co-spectrum and mean velocity in turbulent boundary layers. Physics of Fluids, 25(9). https://doi.org/10.1063/1.4821997
Katul, G. G., A. Porporato, C. Manes, and C. Meneveau. “Co-spectrum and mean velocity in turbulent boundary layers.” Physics of Fluids 25, no. 9 (September 18, 2013). https://doi.org/10.1063/1.4821997.
Katul GG, Porporato A, Manes C, Meneveau C. Co-spectrum and mean velocity in turbulent boundary layers. Physics of Fluids. 2013 Sep 18;25(9).
Katul, G. G., et al. “Co-spectrum and mean velocity in turbulent boundary layers.” Physics of Fluids, vol. 25, no. 9, Sept. 2013. Scopus, doi:10.1063/1.4821997.
Katul GG, Porporato A, Manes C, Meneveau C. Co-spectrum and mean velocity in turbulent boundary layers. Physics of Fluids. 2013 Sep 18;25(9).

Published In

Physics of Fluids

DOI

ISSN

1070-6631

Publication Date

September 18, 2013

Volume

25

Issue

9

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences