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

W. C. Reynolds; Fazle Hussain

doi:10.1017/S0022112072000679

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

W. C. Reynolds, Fazle Hussain

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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.

Original language	English (US)
Pages (from-to)	263-288
Number of pages	26
Journal	Journal of Fluid Mechanics
Volume	54
Issue number	2
DOIs	https://doi.org/10.1017/S0022112072000679
State	Published - Jul 25 1972

ASJC Scopus subject areas

Mechanical Engineering
Mechanics of Materials
Condensed Matter Physics

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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.",

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

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