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Title: Generalized Coles’ law and outer layer conformal mapping
Authors: Rona, Aldo
Grottadaurea, Marco
First Published: Oct-2010
Publisher: Taylor & Francis on behalf of the International Association for Hydro-Environment Engineering and Research
Citation: Journal of Hydraulic Research, 2010, 48 (5), pp. 674–679.
Abstract: The time-averaged velocity profile of a turbulent boundary layer can be predicted by combining its different trends in the inner and outer regions in a single law of the wake. A new non-dimensional coordinate system that projects the time-averaged velocity profiles of the inner and the outer regions on the same non-dimensional plane is introduced, leading to a unified treatment for the mixing region. In this coordinate system, various laws of the wake are shown to be the same but a constant. The non-dimensionalization is tested on a specific law of the wake, in which the closure coefficients are regressed from wind tunnel measurements and direct numerical simulations of turbulent boundary layers under zero-pressure gradient, over a good range of boundary layer thickness based Reynolds numbers. This data fit produced profiles within 2% of the reference values. This is of practical use to numerical modellers for generating boundary layer inflow profiles.
DOI Link: 10.1080/00221686.2010.512776
ISSN: 0022-1686
eISSN: 1814-2079
Type: Journal Article
Rights: © 2010 International Association for Hydro-Environment Engineering and Research
Description: The final published version is available at, Doi: 10.1080/00221686.2010.512776.
Appears in Collections:Published Articles, Dept. of Engineering

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