Journal of Fluid Mechanics

Rapids

On the logarithmic region in wall turbulence

Ivan Marusica1 c1, Jason P. Montya1, Marcus Hultmarka2 and Alexander J. Smitsa2

a1 Department of Mechanical Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia

a2 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA

Abstract

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 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.

(Received August 16 2012)

(Revised October 08 2012)

(Accepted October 11 2012)

Key words

  • pipe flow boundary layer;
  • turbulent flows;
  • turbulent boundary layers

Correspondence:

c1 Email address for correspondence: imarusic@unimelb.edu.au

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