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Fluid particle dynamics and the non-local origin of the Reynolds shear stress

Published online by Cambridge University Press:  23 May 2018

Peter S. Bernard Open the ORCID record for Peter S. Bernard [Opens in a new window]  and
Martin A. Erinin
Peter S. Bernard*
Affiliation:
Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA
Martin A. Erinin
Affiliation:
Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA
*
†Email address for correspondence: bernard@umd.edu
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Abstract

The causative factors leading to the Reynolds shear stress distribution in turbulent channel flow are analysed via a backward particle path analysis. It is found that the classical displacement transport mechanism, by which changes in the mean velocity field over a mixing time correlate with the wall-normal velocity, is the dominant source of Reynolds shear stress. Approximately 20 % of channel flow at any given time contains fluid motions that contribute to displacement transport. Much rarer events provide a small but non-negligible contribution to the Reynolds shear stress due to fluid particle accelerations and long-lived correlations deriving from structural features of the near-wall flow. The Reynolds shear stress in channel flow is shown to be a non-local phenomenon that is not conducive to description via a local model and particularly one depending directly on the local mean velocity gradient.

JFM classification

Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence theory Turbulent Flows: Turbulent Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 847 , 25 July 2018 , pp. 520 - 551
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Copyright
© 2018 Cambridge University Press 

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