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Evolution of wall shear stress with Reynolds number in fully developed turbulent channel flow experiments

Pierre-Alain Gubian, Jordan Stoker, James Medvescek, Laurent Mydlarski*, and B. Rabi Baliga

  • Department of Mechanical Engineering, McGill University, Montreal, QC, H3A 0C3, Canada

  • *Corresponding author: laurent.mydlarski@mcgill.ca
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Phys. Rev. Fluids 4, 074606 – Published 26 July, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.074606

Abstract

The Reynolds-number-dependence of wall shear stress (τw) in fully developed, high-aspect-ratio turbulent channel flow is experimentally studied over the range of 230≤Reτ≤950. The principal conclusion of the present work is that beyond Reτ∼600, the wall shear stress evolves to an asymptotic state in which the statistical moments, probability density function, and power spectra of τw become independent of Reynolds number. In this state, the turbulent intensity, skewness and kurtosis of the wall shear stress take on values that are slightly larger than those previously measured, because prior estimates of these quantities did not resolve the full range of wall shear stress fluctuations, which extended beyond 10 standard deviations above the mean. For Reτ≳600, the spectra of τw were found to collapse very well when using a wall-unit-based normalization, providing further evidence of an asymptotic state of the wall shear stress at large Reynolds numbers.

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Comments & Replies

Reply to “Comment on ‘Evolution of wall shear stress with Reynolds number in fully developed turbulent channel flow experiments' ”

Pierre-Alain Gubian, Jordan Stoker, James Medvescek, Laurent Mydlarski, and B. Rabi Baliga
Phys. Rev. Fluids 5, 127602 (2020)

Comment on “Evolution of wall shear stress with Reynolds number in fully developed turbulent channel flow experiments”

R. Örlü and P. Schlatter
Phys. Rev. Fluids 5, 127601 (2020)

Article Text

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Phys. Rev. Fluids 4, 074606– Published 26 July, 2019
  • Received 21 October 2018
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