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The three-dimensional turbulent boundary layer near a plane of symmetryThe asymptotic structure of the three-dimensional turbulent boundary layer near a plane of symmetry is considered in the limit of large Reynolds number. A self-consistent two-layer structure is shown to exist wherein the streamwise velocity is brought to rest through an outer defect layer and an inner wall layer in a manner similar to that in two-dimensional boundary layers. The cross-stream velocity distribution is more complex and two terms in the asymptotic expansion are required to yield a complete profile which is shown to exhibit a logarithmic region. The flow in the inner wall layer is demonstrated to be collateral to leading order; pressure-gradient effects are formally of higher order but can cause the velocity profile to skew substantially near the wall at the large but finite Reynolds numbers encountered in practice. The governing set of ordinary differential equations describing a self-similar flow is derived. The calculated numerical solutions of these equations are matched asymptotically to an inner wall-layer solution and the results show trends that are consistent with experimental observations.
Document ID
19920042133
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Degani, A. T.
(Lehigh University Bethlehem, PA, United States)
Smith, F. T.
(University College London, United Kingdom)
Walker, J. D. A.
(Lehigh University Bethlehem, PA, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1992
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 234
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
92A24757
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-89-0487
CONTRACT_GRANT: NAG3-771
Distribution Limits
Public
Copyright
Other

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