Dynamic particle trapping, release, and sorting by microvortices on a substrate

Shui Jin Liu, Hsien Hung Wei, Shyh Hong Hwang, Hsueh Chia Chang

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

This paper examines particle trapping and release in confined microvortex flows, including those near a solid surface due to variations in the electrokinetic slip velocity and those at a liquid-gas interface due to an external momentum source. We derive a general analytical solution for a two-dimensional microvortex flow within a semicircular cap. We also use a bifurcation theory on the kinetic equation of particles under various velocity and force fields to delineate the conditions for a vortex trap, a point trap, a limit cycle trap, and the selective sorting of the particles into different traps. In the presence of only divergence-free forces on suspended particles, we find that two parameters, such as those related to Stokes drag, gravity, and flow vorticity, are sufficient to classify all the trap topologies for a given slip velocity distribution. We also show that nondivergence-free forces such as nonuniform repulsion or attraction can capture suspended particles in one trap and selectively sort a binary suspension into different traps.

Original languageEnglish
Article number026308
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number2
DOIs
Publication statusPublished - 2010 Aug 16

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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