Analytic Model of the Universal Structure of Turbulent Boundary Layers

Details Analytic Model of the Universal Structure of Turbulent Boundary Layers Analytic Model of the Universal Structure of Turbulent Boundary Layers

2006-06-13

arxiv.org/abs/nlin/0606035v2

JETP Letts, v. 84, 67-72 (2006);

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figs, JETP Letters, submitted. Comparison with the latest DNS data

Scientific paper

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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