Accumulating Particles at the Boundaries of a Laminar Flow

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dc.creatorSchindler, Michael
dc.creatorTalkner, Peter
dc.creatorKostur, Marcin
dc.creatorHanggi, Peter
dc.date2006-08-01
dc.date2007-06-25
dc.date.accessioned2026-07-07T09:48:52Z
dc.date.available2026-07-07T09:48:52Z
dc.descriptionThe accumulation of small particles is analyzed in stationary flows through channels of variable width at small Reynolds number. The combined influence of pressure, viscous drag and thermal fluctuations is described by means of a Fokker-Planck equation for the particle density. It is shown that in the limit of vanishing particle size a uniform particle distribution is always approached in the long time limit. For extended spherical particles, conditions are specified that lead to inhomogeneous densities and consequently to particle accumulation and depletion. Hereby the boundary conditions for the particle density play a decisive role: The centers of spherical particles must keep the minimal distance of their radius from the fluid boundaries. The normal components of the forces acting on the sphere then may assume finite values which are diffusively transported into the bulk of the fluid.
dc.descriptionfinal version, accepted by Physica A
dc.identifierhttps://arxiv.org/abs/cond-mat/0608019
dc.identifierhttp://arxiv.org/abs/cond-mat/0608019
dc.identifierPhysica A 385, 46 (2007)
dc.identifierdoi:10.1016/j.physa.2007.06.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164375
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectFluid Dynamics
dc.titleAccumulating Particles at the Boundaries of a Laminar Flow
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