On the logarithmic region in wall turbulence

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}^...

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Published in:Journal of fluid mechanics 2013-02, Vol.716, p.np-np, Article R3
Main Authors: Marusic, Ivan, Monty, Jason P., Hultmark, Marcus, Smits, Alexander J.
Format: Article
Language:English
Subjects:
Boundary layer
Boundary layers
Flow velocity
Fluid dynamics
Fluid flow
Fluid mechanics
Pipe flow
Rapids
Reynolds number
Surface layer
Turbulence
Turbulent flow
Uncertainty
Walls
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description 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.
doi_str_mv 10.1017/jfm.2012.511
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source Cambridge University Press
subjects Boundary layer
Boundary layers
Flow velocity
Fluid dynamics
Fluid flow
Fluid mechanics
Pipe flow
Rapids
Reynolds number
Surface layer
Turbulence
Turbulent flow
Uncertainty
Walls
title On the logarithmic region in wall turbulence
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