PMID: 15244729Jul 13, 2004Paper

Sedimentation dynamics of spherical particles in confined geometries

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E KuuselaT Ala-Nissila

Abstract

We study the steady-state dynamics of sedimenting non-Brownian particles in confined geometries with full hydrodynamic interactions at small but finite Reynolds numbers. We employ extensive computer simulations using a method where a continuum liquid phase is coupled through Stokesian friction to a discrete particle phase. In particular, we consider a sedimentation box which is otherwise periodic except that it is confined by two parallel walls parallel to gravity with a spacing Lx. By systematically varying Lx we explore the change in dynamics from a quasi-two-dimensional (2D) case to a three-dimensional case. We find that in such confined geometries there is a depletion of particle number density at the walls for small volume fractions, while for large volume fractions there is an excess number of particles at the walls. For the average sedimentation velocity, we find that the Richardson-Zaki law is well obeyed but the decrease of the velocity for dilute systems is slower for smaller values of Lx. We study the anisotropy of the velocity fluctuations and find that in the direction of gravity there is excellent agreement with the predicted scaling with respect to Lx. We also find that the behavior of the corresponding diffusion...Continue Reading

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Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E Kuusela, T Ala-Nissila
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Citations

Feb 17, 2011·The Journal of Chemical Physics·Santtu T T OllilaTapio Ala-Nissila
Sep 10, 2015·Langmuir : the ACS Journal of Surfaces and Colloids·Jose R Guzman-SepulvedaAristide Dogariu
May 20, 2015·Scientific Reports·Sebastian BehrGerold A Schneider
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kun LuoKefa Cen
May 18, 2013·Physical Review Letters·S HeitkamA Salonen
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V LehtolaT Ala-Nissila
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J J Liétor-SantosM Márquez
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adnan Hamid, Ryoichi Yamamoto
Mar 26, 2010·Langmuir : the ACS Journal of Surfaces and Colloids·Sara M HashmiAbbas Firoozabadi

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