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Lattice-Boltzmann simulation of the sedimentation of charged disks

2005/06/24 by Fabrizio Capuani, Ignacio Pagonabarraga, Daan Frenkel · 1 citation
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Lattice Boltzmann Simulation Studies #Microfluidic and Bio-sensing Technologies #cond-mat.mtrl-sci #cond-mat.soft

paper · pdf · doi:10.1063/1.2178804

arxiv created 2005/06/24 · openalex publication_date 2006/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We report a series of lattice-Boltzmann simulations of the sedimentation velocity of charged disks. In these simulations, we explicitly account for the hydrodynamic and electrostatic forces on disks and on their electrical double layer. By comparing our results with those for spheres with equal surface and charge, we can clarify the effect of the particle shape on the sedimentation process. We find that disks and spheres exhibit a different dependence of the sedimentation velocity on the Debye screening length. An analysis of the behavior of highly charged disks (beyond the scope of the linearized Poisson-Boltzmann equation) shows that, in that regime, the charge dependence of the sedimentation velocity of disks and spheres is similar. This suggests that, at high charge, the effective hydrodynamic shape of the disks becomes more spherical.

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