On the terminal velocity of sedimenting particles in a flowing fluid

dc.creatorAfonso, Marco Martins
dc.date2007-10-17
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:57:34Z
dc.date.available2026-07-07T09:57:34Z
dc.descriptionThe influence of an underlying carrier flow on the terminal velocity of sedimenting particles is investigated both analytically and numerically. Our theoretical framework works for a general class of (laminar or turbulent) velocity fields and, by means of an ordinary perturbation expansion at small Stokes number, leads to closed partial differential equations (PDE) whose solutions contain all relevant information on the sedimentation process. The set of PDE's are solved by means of direct numerical simulations for a class of 2D cellular flows (static and time dependent) and the resulting phenomenology is analysed and discussed.
dc.description13 pages, 2 figures, submitted to JPA
dc.identifierhttps://arxiv.org/abs/0710.3388
dc.identifierhttp://arxiv.org/abs/0710.3388
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 385501
dc.identifierdoi:10.1088/1751-8113/41/38/385501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167391
dc.subjectChaotic Dynamics
dc.titleOn the terminal velocity of sedimenting particles in a flowing fluid
dc.typetext

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