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Phys Rev E. 2017 Aug;96(2):023109. doi: 10.1103/PhysRevE.96.023109. Epub 2017 Aug 31.

Suspended particle transport through constriction channel with Brownian motion.

Physical review. E

Itsuo Hanasaki, Jens H Walther

Affiliations

  1. Institute of Engineering, Tokyo University of Agriculture and Technology, Naka-cho 2-24-16, Koganei, Tokyo 184-8588, Japan.
  2. Department of Mechanical Engineering, Technical University of Denmark, Building 403, DK-2800 Kgs. Lyngby, Denmark and Swiss Federal Institute of Technology Zürich, Chair of Computational Science, ETH Zentrum, CH-8092 Zürich, Switzerland.

PMID: 28950651 DOI: 10.1103/PhysRevE.96.023109

Abstract

It is well known that translocation events of a polymer or rod through pores or narrower parts of micro- and nanochannels have a stochastic nature due to the Brownian motion. However, it is not clear whether the objects of interest need to have a larger size than the entrance to exhibit the deviation from the dynamics of the surrounding fluid. We show by numerical analysis that the particle injection into the narrower part of the channel is affected by thermal fluctuation, where the particles have spherical symmetry and are smaller than the height of the constriction. The Péclet number (Pe) is the order parameter that governs the phenomena, which clarifies the spatio-temporal significance of Brownian motion compared to hydrodynamics. Furthermore, we find that there exists an optimal condition of Pe to attain the highest flow rate of particles relative to the dispersant fluid flow. Our finding is important in science and technology from nanopore DNA sequencers and lab-on-a-chip devices to filtration by porous materials and chromatography.

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