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The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments

Published online by Cambridge University Press:  29 March 2006

W. C. Reynolds  and
A. K. M. F. Hussain
W. C. Reynolds
Affiliation:
Department of Mechanical Engineering, Stanford University
A. K. M. F. Hussain
Affiliation:
Department of Mechanical Engineering, Stanford University Present address: Department of Mechanical Engineering, University of Houston, Houston, Texas.
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Abstract

The dynamical equations governing small amplitude wave disturbances in turbulent shear flows are derived. These equations require additional equations or assumptions about the wave-induced fluctuations in the turbulence Reynolds stresses before a closed system can be obtained. Some simple closure models are proposed, and the results of calculations using these models are presented. When the predictions are compared with our data for channel flow, we find it essential that these oscillations in the Reynolds stresses be included in the model. A simple eddy-viscosity representation serves surprisingly well in this respect.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 54 , Issue 2 , 25 July 1972 , pp. 263 - 288
Copyright
© 1972 Cambridge University Press

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