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Coalescence of particles by differential sedimentation
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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 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-007-9466-y
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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0022-4715 | ||||
Official Date: | March 2008 | ||||
Dates: |
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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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