Effect of Reynolds Number on Isotropic Turbulent Dispersion

[+] Author and Article Information
Renwei Mei

Department of Aerospace Engineering, Mechanics & Engineering Science, University of Florida, Gainesville, FL 32611

Ronald J. Adrian

Department of Theoretical & Applied Mechanics, University of Illinois, Urbana, IL 61801

J. Fluids Eng 117(3), 402-409 (Sep 01, 1995) (8 pages) doi:10.1115/1.2817276 History: Received May 05, 1994; Revised January 24, 1995; Online December 04, 2007


The influence of the spatio-temporal structure of isotropic turbulence on the dispersion of fluid and particles with inertia is investigated. The spatial structure is represented by an extended von Kármán energy spectrum model which includes an inertial sub-range and allows evaluation of the effect of the turbulence Reynolds number, Reλ . Dispersion of fluid is analyzed using four different models for the Eulerian temporal auto-correlation function D(τ). The fluid diffusivity, normalized by the integral length scale L11 and the root-mean-square turbulent velocity u0 , depends on Reλ . The parameter cE = T0 u0 /L11 , in which T0 is the Eulerian integral time scale, has commonly been assumed to be constant. It is shown that cE strongly affects the value of the fluid diffusivity. The dispersion of a particle with finite inertia and finite settling velocity is analyzed for a large range of a particle inertia and settling velocity. Particle turbulence intensity and diffusivity are influenced strongly by turbulence structure.

Copyright © 1995 by The American Society of Mechanical Engineers
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