Horvai, P., Nazarenko, Sergey and Stein, Thorwald H. M. (2008) Coalescence of particles by differential sedimentation. Journal of Statistical Physics, Vol.130 (No.6). pp. 1177-1195. doi:10.1007/s10955-007-9466-y

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Abstract

We consider a three dimensional system consisting of a large number of small spherical particles, distributed in a range of sizes and heights (with uniform distribution in the horizontal direction). Particles move vertically at a size-dependent terminal velocity. They are either allowed to merge whenever they cross or there is a size ratio criterion enforced to account for collision efficiency. Such a system may be described, in mean field approximation, by the Smoluchowski kinetic equation with a differential sedimentation kernel. We obtain self-similar steady-state and time-dependent solutions to the kinetic equation, using methods borrowed from weak turbulence theory. Analytical results are compared with direct numerical simulations (DNS) of moving and merging particles, and a good agreement is found.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of Statistical Physics
Publisher:	Springer New York LLC
ISSN:	0022-4715
Official Date:	March 2008
Dates:	Date Event March 2008 Published
Volume:	Vol.130
Number:	No.6
Number of Pages:	19
Page Range:	pp. 1177-1195
DOI:	10.1007/s10955-007-9466-y
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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