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Scaling laws for turbulent boundary layer flows in favorable and adverse pressure gradient
Author(s) -
Vigdorovich Igor
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910194
Subject(s) - turbulence , boundary layer , mechanics , pressure gradient , scaling , reynolds number , compressibility , adverse pressure gradient , scaling law , reynolds stress , physics , classical mechanics , plane (geometry) , boundary (topology) , mathematics , mathematical analysis , geometry
Abstract An analytical theory is proposed to describe incompressible plane and axisymmetric turbulent boundary layer flows in favorable and adverse pressure gradients for near‐equilibrium conditions. Scaling laws for the mean velocity, the Reynolds stress components, and the skin friction have been established. A universal friction law makes it possible to represent the skin friction distributions corresponding to different Reynolds numbers and pressure gradients in terms of a function of one variable. The theory is based on general physical assumptions and does not involve any special hypotheses on the nature of the turbulent motion. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)