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A new look at some closure problems of turbulent boundary layers

Perry, A. E. (1992) A new look at some closure problems of turbulent boundary layers. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20141106-160304339

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Abstract

A new look at the closure problem of turbulent boundary layers is made here using recently derived analytical expressions for the shear stress distributions. These expressions are further simplified here and are based on the law of the wall, the law of the wake formulation of Coles (1956) with the mean continuity and the mean momentum differential and integral equations. The concept of equilibrium layers of Clauser (1954, 1956) is extended and using similar ideas as Rotta (1962) for self similarity, a closure scheme is proposed for layers developing in arbitrary adverse pressure gradients for the case where the streamwise derivative of the Coles wake factor is not too large. For a given flow case, this Coles wake condition can be tested with internal consistency checks. The mathematical framework is most suitable for incorporating the attached eddy hypothesis of Townsend (1976) as recently developed by Perry, Li and Marusic (1991) for closure. This gives an opportunity to incorporate coherent structure concepts into closure schemes. Possible ways of handling the difficult case where the streamwise derivative of the Coles wake factor is significant are discussed. Many of the important relations are in analytical form and were derived using Mathematica.


Item Type:Report or Paper (Technical Report)
Additional Information:© 1992 California Institute of Technology. The author wishes to acknowledge the great help resulting from many stimulating discussions with Dr D. Coles and Dr H. G. Hornung of G.A.L.C.I.T. Also the author's research fellow Dr Ivan Marusic is acknowledged for his help with the development of the material in §8 and in editing and assisting in the preparation of this report. The author appreciates the efforts of Karen Cheetham and Georgia Frueh of G.A.L.C.I.T. who typed the first draft of the manuscript. The Farichild Fellowship Scheme is gratefully acknowledged for enabling the author to spend the calendar year 1992 at G.A.L.C.I.T where he carried out this work. The author also acknowledges the Australian Research Council for the financial support of other aspects of this project being carried out in Australia.
Group:Graduate Aeronautical Laboratories (Fluid Mechanics)
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Australian Research CouncilUNSPECIFIED
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Other Numbering System NameOther Numbering System ID
GALCITFM-92-4
Record Number:CaltechAUTHORS:20141106-160304339
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20141106-160304339
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51401
Collection:CaltechGALCITFM
Deposited By: Kristin Buxton
Deposited On:07 Nov 2014 00:18
Last Modified:07 Nov 2014 00:18

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