Pairwise interactions in inertially driven one-dimensional microfluidic crystals
Name
PhysRevFluids.3.094201.pdf
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651.86 KB
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Adobe PDF
Checksum (MD5)
16891a064068aac7a937c861d72da964
Author(s)
Roper, Marcus
Hood, Kaitlyn Tuley
Date Issued
September 2018
Journal
Physical Review Fluids
Publisher
American Physical Society
Citation
Hood, Kaitlyn, and Marcus Roper. “Pairwise Interactions in Inertially Driven One-Dimensional Microfluidic Crystals.” Physical Review Fluids, vol. 3, no. 9, Sept. 2018. © 2018 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevFluids.3.094201
