Asymptotic analysis of stagnating turbulent flows

The k- epsilon theory is applied to describe turbulence stagnating against a wall in the limit of large Reynolds numbers. Such turbulence involves three regions: a viscous sublayer, a shear layer, and the external stream approaching the wall. Since each region involves distinct velocity and length s...

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Bibliographic Details
Published in:AIAA journal 1991-01, Vol.29 (1), p.16-24
Main Authors: Champion, Michel, Libby, Paul A
Format: Article
Language:English
Subjects:
boundary layers
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
turbulent flow
Turbulent flows, convection, and heat transfer
walls
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Summary:The k- epsilon theory is applied to describe turbulence stagnating against a wall in the limit of large Reynolds numbers. Such turbulence involves three regions: a viscous sublayer, a shear layer, and the external stream approaching the wall. Since each region involves distinct velocity and length scales, an asymptotic analysis is indicated but the requirements of matching solutions for adjacent regions are found to necessitate adjustments of the empirical constants in the dissipation equation. The analysis shows that the viscous sublayer differs significantly from its counterpart in turbulent boundary layers in several respects; in particular, it is found to account for the entire change in streamwise velocity and mean temperature across the shear layer and to be relatively thick.
ISSN:0001-1452
1533-385X
DOI:10.2514/3.10540