Co-spectrum and mean velocity in turbulent boundary layers

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 (C K ' ), 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