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Simulation of hydrodynamically interacting particles near a no-slip boundary

Swan, James W. and Brady, John F. (2007) Simulation of hydrodynamically interacting particles near a no-slip boundary. Physics of Fluids, 19 (11). Art. No. 113306. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:WApof07

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Abstract

The dynamics of spherical particles near a single plane wall are computed using an extension of the Stokesian dynamics method that includes long-range many-body and pairwise lubrication interactions between the spheres and the wall in Stokes flow. Extra care is taken to ensure that the mobility and resistance tensors are symmetric, positive, and definite—something which is ineluctable for particles in low-Reynolds-number flows. We discuss why two previous simulation methods for particles near a plane wall, one using multipole expansions and the other using the Rotne-Prager tensor, fail to produce symmetric resistance and mobility tensors. Additionally, we offer some insight on how the Stokesian dynamics paradigm might be extended to study the dynamics of particles in any confining geometry.


Item Type:Article
Additional Information:©2007 American Institute of Physics. Received: 9 May 2007; accepted: 6 September 2007; published: 14 November 2007. This work was supported in part by NSF Grant No. CBET 0506701.
Subject Keywords:Brownian motion, colloids, lubrication, multiphase flow, suspensions, tensors
Issue or Number:11
Record Number:CaltechAUTHORS:SWApof07
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WApof07
Alternative URL:http://dx.doi.org/10.1063/1.2803837
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9196
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Nov 2007
Last Modified:26 Dec 2012 09:46

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