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A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows

Published online by Cambridge University Press:  05 July 2011

ROMAIN MATHIS ,
NICHOLAS HUTCHINS  and
IVAN MARUSIC
ROMAIN MATHIS
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
NICHOLAS HUTCHINS
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
IVAN MARUSIC*
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia
*
†Email address for correspondence: [email protected]
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Abstract

A model is proposed with which the statistics of the fluctuating streamwise velocity in the inner region of wall-bounded turbulent flows are predicted from a measured large-scale velocity signature from an outer position in the logarithmic region of the flow. Results, including spectra and all moments up to sixth order, are shown and compared to experimental data for zero-pressure-gradient flows over a large range of Reynolds numbers. The model uses universal time-series and constants that were empirically determined from zero-pressure-gradient boundary layer data. In order to test the applicability of these for other flows, the model is also applied to channel, pipe and adverse-pressure-gradient flows. The results support the concept of a universal inner region that is modified through a modulation and superposition of the large-scale outer motions, which are specific to the geometry or imposed streamwise pressure gradient acting on the flow.

JFM classification

Boundary Layers: Boundary Layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 681 , 25 August 2011 , pp. 537 - 566
Copyright
Copyright © Cambridge University Press 2011

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References

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