Analytic Model of the Universal Structure of Turbulent Boundary Layers
Chaotic Dynamics
2007-05-23 v2 Atmospheric and Oceanic Physics
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.nlin/0606035,
title = {Analytic Model of the Universal Structure of Turbulent Boundary Layers},
author = {Victor S. L'vov and Itamar Procaccia and Oleksii Rudenko},
journal= {arXiv preprint arXiv:nlin/0606035},
year = {2007}
}
Comments
5 pages, 4 figs, JETP Letters, submitted. Comparison with the latest DNS data