A model for preferential concentration
- Creators
- Sigurgeirsson, H.
- Stuart, A. M.
Abstract
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 interesting antidiffusive effect.
Additional Information
© 2002 American Institute of Physics. Received 8 May 2002; accepted 9 September 2002; published 6 November 2002. The authors are grateful to A. J. Majda for helpful suggestions. H.S. was supported by the Department of Energy under the ASCI, Program. A.M.S. was supported by the Engineering and Physical Sciences Research Council of the UK.Attached Files
Published - 1_2E1517603.pdf
Files
Name | Size | Download all |
---|---|---|
md5:fb445f3e6b97739fd06ffaa55ebfeeff
|
784.3 kB | Preview Download |
Additional details
- Eprint ID
- 78070
- Resolver ID
- CaltechAUTHORS:20170609-152746245
- Department of Energy (DOE)
- Engineering and Physical Sciences Research Council (EPSRC)
- Created
-
2017-06-09Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- J55