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Two-point correlation in wall turbulence according to the attached-eddy hypothesis

Published online by Cambridge University Press:  26 May 2017

Hideaki Mouri Open the ORCID record for Hideaki Mouri [Opens in a new window]
Hideaki Mouri*
Affiliation:
Meteorological Research Institute, Nagamine, Tsukuba 305-0052, Japan
*
†Email address for correspondence: [email protected]
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Abstract

For the constant-stress layer of wall turbulence, two-point correlations of velocity fluctuations are studied theoretically by using the attached-eddy hypothesis, i.e. a phenomenological model of a random superposition of energy-containing eddies that are attached to the wall. While previous studies had invoked additional assumptions, we focus on the minimum assumptions of the hypothesis to derive the most general forms of the correlation functions. They would allow us to use or assess the hypothesis without any effect of those additional assumptions. We also study the energy spectra and the two-point correlations of the rate of momentum transfer and of the rate of energy dissipation.

JFM classification

Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , pp. 343 - 357
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Copyright
© 2017 Cambridge University Press 

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