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On the logarithmic region in wall turbulence

Published online by Cambridge University Press:  28 January 2013

Ivan Marusic ,
Jason P. Monty ,
Marcus Hultmark  and
Alexander J. Smits
Ivan Marusic*
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
Jason P. Monty
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
Marcus Hultmark
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Alexander J. Smits
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

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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\times 1{0}^{4} \lt {\mathit{Re}}_{\tau } \lt 6\times 1{0}^{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.

JFM classification

Boundary Layers: Pipe flow boundary layer Turbulent Flows: Turbulent Flows Turbulent Flows: Turbulent boundary layers
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 716 , 10 February 2013 , R3
Copyright
©2013 Cambridge University Press

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