Co-spectrum and mean velocity in turbulent boundary layers

Published

Journal Article (Letter)

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.

Full Text

Duke Authors

Cited Authors

  • Katul, GG; Porporato, A; Manes, C; Meneveau, C

Published Date

  • September 18, 2013

Published In

Volume / Issue

  • 25 / 9

International Standard Serial Number (ISSN)

  • 1070-6631

Digital Object Identifier (DOI)

  • 10.1063/1.4821997

Citation Source

  • Scopus