Coalescence of particles by differential sedimentation

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dc.creatorHorvai, P.
dc.creatorNazarenko, S. V.
dc.creatorStein, T. H. M.
dc.date2007-05-18
dc.date2007-12-05
dc.date.accessioned2026-07-07T08:47:03Z
dc.date.available2026-07-07T08:47:03Z
dc.descriptionWe 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, used to study e.g. rain initiation and particle distributions in the atmosphere. We solve the kinetic equation analytically to obtain steady state and self-similar solutions in time and in height, 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.
dc.description26 pages, 7 figures. Accepted by J.Stat.Phys., 12 November 2007. Sections 2.4 and 3.1 expanded for more elaborate derivation of equations
dc.identifierhttps://arxiv.org/abs/0705.2618
dc.identifierhttp://arxiv.org/abs/0705.2618
dc.identifierdoi:10.1007/s10955-007-9466-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143466
dc.subjectStatistical Mechanics
dc.titleCoalescence of particles by differential sedimentation
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