A model for preferential concentration

H. Sigurgeirsson*, A. M. Stuart

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


The preferential concentration of inertial particles in a turbulent velocity field occurs when the particle and fluid time constants are commensurate. We propose a straightforward mathematical model for this phenomenon and use the model to study various scaling limits of interest and to study numerically the effect of interparticle collisions. The model comprises Stokes' law for the particle motions, and a Gaussian random field for the velocity. The primary advantages of the model are its amenability to mathematical analysis in various interesting scaling limits and the speed at which numerical simulations can be performed. The scaling limits corroborate experimental evidence about the lack of preferential concentration for a large and small Stokes number and make new predictions about the possibility of preferential concentration at large times and lead to stochastic differential equations governing this phenomenon. The effect of collisions is found to be negligible for the most part, although in some cases they have an.

Original languageEnglish
Pages (from-to)4352-4361
Number of pages10
JournalPhysics of Fluids
Issue number12
Publication statusPublished - Dec 2002


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