期刊
JOURNAL OF FLUID MECHANICS
卷 835, 期 -, 页码 880-897出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.772
关键词
multiphase flow; particle/fluid flow; suspensions
资金
- National Key Research and Development Program of China [2016YFB0600602]
- National Fund for Distinguished Young Scholars of China [51725601]
We investigate the evolution of spherical clouds of charged particles that migrate under the action of a uniform external electrostatic field. Hydrodynamic interactions are modelled by Oseen equations and the Coulomb repulsion is calculated through pairwise summation. It is shown that strong long-range Coulomb repulsion can prevent the breakup of the clouds covering a wide range of particle Reynolds number Re-p and cloud-to-particle size ratio R-0/r(p). A dimensionless charge parameter kappa(q) is constructed to quantify the effect of the repulsion, and a critical value kappa(q),(t) is deduced, which successfully captures the transition of a cloud from hydrodynamically controlled regime to repulsion-controlled regime. Our results also reveal that, with sufficiently strong repulsion, the cloud undergoes a universal self-similar expansion. Scaling laws of cloud radius R-cl and particle number density n are obtained by solving a continuum convection equation.
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