Title
Stochastic Theory of Turbulence Mixing by Finite Eddies in the Turbulent Boundary Layer
Author
Dekker, H.
de Leeuw, G.
Maassen van den Brink, A.
TNO Fysisch en Elektronisch Laboratorium
Contributor
Benzi, R. (editor)
Publication year
1995
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
Subject
Physics
Turbulent boudary layer
Stochastic processes
Turbulent mixing
Flow theory
Velocity distribution
Reynolds equation
Navier-Stokes equations
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http://resolver.tudelft.nl/uuid:c837fc1f-fed5-48c2-bdb2-8fd48df1bab0
TNO identifier
94817
Publisher
Kluwer Academic Publishers, Dordrecht
Source
Advances in Turbulence V - Proceedings of the Fifth European Turbulence Conference, Siena, Italy, 5-8 July 1994, 100-104
Document type
conference paper