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

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

Dekker, H.
de Leeuw, G.
Maassen van den Brink, A.
TNO Fysisch en Elektronisch Laboratorium

Benzi, R. (editor)

1995

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

Physics
Turbulent boudary layer
Stochastic processes
Turbulent mixing
Flow theory
Velocity distribution
Reynolds equation
Navier-Stokes equations

http://resolver.tudelft.nl/uuid:c837fc1f-fed5-48c2-bdb2-8fd48df1bab0

94817

Kluwer Academic Publishers, Dordrecht

Advances in Turbulence V - Proceedings of the Fifth European Turbulence Conference, Siena, Italy, 5-8 July 1994, 100-104

conference paper