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Estimating wall-shear-stress fluctuations given an outer region input

Published online by Cambridge University Press:  09 January 2013

Romain Mathis ,
Ivan Marusic ,
Sergei I. Chernyshenko  and
Nicholas Hutchins
Romain Mathis*
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia Laboratoire de Mécanique de Lille, UMR CNRS 8107, 59655 Villeneuve d’Ascq, France
Ivan Marusic
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
Sergei I. Chernyshenko
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2AZ, UK
Nicholas Hutchins
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
*
†Email address for correspondence: rmathis@unimelb.edu.au
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Abstract

A model for the instantaneous wall-shear-stress distribution is presented for zero-pressure-gradient turbulent boundary layers. The model, based on empirical and theoretical considerations, is able to reconstruct a statistically representative fluctuating wall-shear-stress time-series, ${ \tau }_{w}^{\ensuremath{\prime} } (t)$, using only the low-frequency content of the streamwise velocity measured in the logarithmic region, away from the wall. Results, including spectra and second-order moments, show that the model is capable of successfully capturing Reynolds number trends as observed in other studies.

JFM classification

Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 715 , 25 January 2013 , pp. 163 - 180
Copyright
©2013 Cambridge University Press

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