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Pairwise interactions in inertially driven one-dimensional microfluidic crystals

Kaitlyn Hood1,* and Marcus Roper2

  • 1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Mathematics, University of California Los Angeles, Los Angeles, California 90095, USA

  • *kaitlyn.t.hood@gmail.com
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Phys. Rev. Fluids 3, 094201 – Published 5 September, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.094201

Abstract

In microfluidic devices, inertia drives particles to focus on a finite number of inertial focusing streamlines. Particles on the same streamline interact to form one-dimensional microfluidic crystals (or “particle trains”). Here we develop an asymptotic theory to describe the pairwise interactions underlying the formation of a one-dimensional crystal. Surprisingly, we show that particles assemble into stable equilibria, analogous to the motion of a damped spring. The damping of the spring is due to inertial focusing forces, and the spring force arises from the interplay of viscous particle-particle and particle-wall interactions. The equilibrium spacing can be represented by a quadratic function in the particle size and therefore can be controlled by tuning the particle radius.

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Phys. Rev. Fluids 3, 094201– Published 5 September, 2018
  • Received 3 July 2017
Article part of CHORUS
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