Turbulent Dispersion of Heavy Particles With Nonlinear Drag

[+] Author and Article Information
Renwei Mei

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

R. J. Adrian

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

T. J. Hanratty

Department of Chemical Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Fluids Eng 119(1), 170-179 (Mar 01, 1997) (10 pages) doi:10.1115/1.2819104 History: Received December 18, 1994; Revised July 24, 1996; Online December 04, 2007


The analysis of Reeks (1977) for particle dispersion in isotropic turbulence is extended so as to include a nonlinear drag law. The principal issue is the evaluation of the inertial time constants, βα −1 , and the mean slip. Unlike what is found for the Stokesian drag, the time constants are functions of the slip velocity and are anisotropic. For settling velocity, VT , much larger than root-mean-square of the fluid velocity fluctuations, u0 , the mean slip is given by VT . For VT →0, the mean slip is related to turbulent velocity fluctuation by assuming that fluctuations in βα are small compared to the mean value. An interpolation formula is used to evaluate βα and VT in regions intermediate between conditions of VT →0 and VT ≫ u0 . The limitations of the analysis are explored by carrying out a Monte-Carlo simulation for particle motion in a pseudo turbulence described by a Gaussian distribution and Kraichnan’s (1970) energy spectrum.

Copyright © 1997 by The American Society of Mechanical Engineers
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