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Stochastic Theory of Turbulence Mixing by Finite Eddies in the Turbulent Boundary Layer

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Author: Dekker, H. · Leeuw, G. de · Maassen van den Brink, A.
Type:article
Date:1995
Publisher: Kluwer Academic Publishers
Place: Dordrecht
Institution: TNO Fysisch en Elektronisch Laboratorium
Source:Benzi, R., Advances in Turbulence V - Proceedings of the Fifth European Turbulence Conference, Siena, Italy, 5-8 July 1994, 100-104
Identifier: 94817
Keywords: Physics · Turbulent boudary layer · Stochastic processes · Turbulent mixing · Flow theory · Velocity distribution · Reynolds equation · Navier-Stokes equations

Abstract

Turbulence mixing is treated by means of a novel formulation of nonlocal K-theory, involving sample paths and a stochastic hypothesis. The theory simplifies for mixing by exchange (strong-eddies) and is then applied to the boundary layer (involving scaling). This maps boundary layer turbulence onto a nondiffusive (Kubo-Anderson or kangaroo) type stochastic process. The theory involves an exponent epsilon (with the significance of a Cantor set dimension if epsilon is less than 1). With expsilon approximately equal to 0.58 (epsilon approaches infinity in the diffusion limit) the ensuing mean velocity profile U-bar+ = f(y+) is in perfect agreement with experimental data. The near-wall (y approaches 0) velocity fluctuations agree with recent direct numerical simulations