Co-spectrum and mean velocity in turbulent boundary layers
Journal Article (Letter;Journal)
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