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Axial dispersion of Brownian colloids in microfluidic channels

Michael P. Howard1, Aishwarya Gautam1, Athanassios Z. Panagiotopoulos1, and Arash Nikoubashman2,*

  • 1Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 2Institute of Physics, Johannes Gutenberg University Mainz, Staudingerweg 7, 55128 Mainz, Germany

  • *anikouba@uni-mainz.de
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Phys. Rev. Fluids 1, 044203 – Published 19 August, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.044203

Abstract

We present a complete theoretical framework for the axial dispersion of a Brownian colloidal suspension confined in a parallel plate channel, extending the Taylor-Aris treatment to particles with diameters comparable to the channel width. The theoretical model incorporates the effects of confinement on the colloid distribution, corrections to the velocity profile due to the effects of colloid concentration on the suspension viscosity, and position-dependent diffusivities. We test the theoretical model using explicit-solvent molecular dynamics simulations that fully incorporate hydrodynamic correlations and thermal fluctuations and obtain good quantitative agreement between theory and simulations. We find that the nonuniform colloid distributions that arise in confinement due to excluded volume between the colloids and channel walls significantly impact the axial dispersion.

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Information

Phys. Rev. Fluids 1, 044203– Published 19 August, 2016
  • Received 29 April 2016
Article part of CHORUS

©2016 American Physical Society

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