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

W. C. Reynolds, A. K.M.F. Hussain

Research output: Contribution to journalArticle

612 Scopus citations

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 languageEnglish
Pages (from-to)263-288
Number of pages26
JournalJournal of Fluid Mechanics
Volume54
Issue number2
DOIs
StatePublished - Jul 25 1972

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