Analytic Model of the Universal Structure of Turbulent Boundary Layers

Victor S. L'vov; Itamar Procaccia; Oleksii Rudenko

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Analytic Model of the Universal Structure of Turbulent Boundary Layers

Victor S. L'vov·Itamar Procaccia·Oleksii Rudenko

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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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Victor S. L'vov, Itamar Procaccia, Oleksii Rudenko. 2006-06-21. Analytic Model of the Universal Structure of Turbulent Boundary Layers. https://arxiv.org/abs/nlin/0606035

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