4.7 Article

On the logarithmic region in wall turbulence

Journal

JOURNAL OF FLUID MECHANICS
Volume 716, Issue -, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2012.511

Keywords

pipe flow boundary layer; turbulent flows; turbulent boundary layers

Funding

  1. Australian Research Council
  2. ONR [N00014-09-1-0263]
  3. NSF [CBET-1064257]

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Considerable discussion over the past few years has been devoted to the question of whether the logarithmic region in wall turbulence is indeed universal. Here, we analyse recent experimental data in the Reynolds number range of nominally 2 x 10(4) < Re-tau < 6 x 10(5) for boundary layers, pipe flow and the atmospheric surface layer, and show that, within experimental uncertainty, the data support the existence of a universal logarithmic region. The results support the theory of Townsend (The Structure of Turbulent Shear Flow, Vol. 2, 1976) where, in the interior part of the inertial region, both the mean velocities and streamwise turbulence intensities follow logarithmic functions of distance from the wall.

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