Simple Stochastic Model for Particle Dispersion Including Inertia, Trajectory-Crossing, and Continuity Effects

[+] Author and Article Information
Emmanuel Etasse

Institut de Mécanique des Fluides, Toulouse, UMR CNRS/INP-UPS 5502, France

Charles Meneveau

Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218

Thierry Poinsot

Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique, 42 Av. G. Coriolis, 31057, Toulouse, France

J. Fluids Eng 120(1), 186-192 (Mar 01, 1998) (7 pages) doi:10.1115/1.2819645 History: Received March 05, 1996; Revised October 09, 1997; Online December 04, 2007


An eddy-lifetime, stochastic Lagrangian model for particle dispersion in weakly laden turbulent flows is proposed, in which the interaction time-scale between particles and turbulent eddies is parametrized so as to include several physical effects. It takes into account particle inertia, crossing-trajectory effect, the possible difference in lateral and longitudinal dispersion, and some Reynolds number effects. The parametrization is based on previous results, from a theoretical dispersion model in isotropic turbulence using the trajectory-velocity independence and Gaussian approximations, as well as from Large-Eddy-Simulation. Simple fits are introduced to efficiently capture the main results from these prior studies, allowing practical implementation within the context of k – ε engineering codes. Results from simulations using the proposed approach are compared with experimental data of dispersion in decaying isotropic turbulence.

Copyright © 1998 by The American Society of Mechanical Engineers
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