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Reynolds stress scaling in the near-wall region of wall-bounded flows

Published online by Cambridge University Press:  14 September 2021

Alexander J. Smits Open the ORCID record for Alexander J. Smits [Opens in a new window] ,
Marcus Hultmark Open the ORCID record for Marcus Hultmark [Opens in a new window] ,
Myoungkyu Lee Open the ORCID record for Myoungkyu Lee [Opens in a new window] ,
Sergio Pirozzoli Open the ORCID record for Sergio Pirozzoli [Opens in a new window]  and
Xiaohua Wu Open the ORCID record for Xiaohua Wu [Opens in a new window]
Alexander J. Smits*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Marcus Hultmark
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Myoungkyu Lee
Affiliation:
Sandia National Laboratories, Livermore, CA 94551, USA
Sergio Pirozzoli
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma ‘La Sapienza’, 00184 Roma, Italy
Xiaohua Wu
Affiliation:
Department of Mechanical and Aerospace Engineering, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada
*
†Email address for correspondence: asmits@princeton.edu
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Abstract

A new scaling is derived that yields a Reynolds-number-independent profile for all components of the Reynolds stress in the near-wall region of wall-bounded flows, including channel, pipe and boundary layer flows. The scaling demonstrates the important role played by the wall shear stress fluctuations and how the large eddies determine the Reynolds number dependence of the near-wall turbulence behaviour.

JFM classification

Boundary Layers: Boundary layer structure Boundary Layers: Pipe flow boundary layer Turbulent Flows: Turbulent boundary layers

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 926 , 10 November 2021 , A31
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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