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| VOLUME 84 | ISSUE 2 |
PAGE 67
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| Analytic Model of the Universal Structure of Turbulent Boundary Layers
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V. S. L'vov, I. Procaccia, O. Rudenko
The Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel
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PACS: 05.45.Df, 05.70.Fh, 61.43.Hv
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Abstract
Turbulent boundary layers exhibit a universal structure which nevertheless is rather complex, being composed of a viscous sub-layer, a buffer zone, and a turbulent log-law region. In this letter we present a simple analytic model of turbulent boundary layers which culminates in explicit formulae for the profiles of the mean velocity, the kinetic energy and the Reynolds stress as a function of the distance from the wall. The resulting profiles are in close quantitative agreement with measurements over the entire structure of the boundary layer, without any need of re-fitting in the different zones.
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