TY - JOUR
T1 - Axial dispersion of Brownian colloids in microfluidic channels
AU - Howard, Michael P.
AU - Gautam, Aishwarya
AU - Panagiotopoulos, Athanassios Z.
AU - Nikoubashman, Arash
N1 - Funding Information:
We thank H. A. Stone for suggesting the Taylor dispersion problem to us and for many fruitful discussions. M.P.H. received Government support under Contract No. FA9550-11-C0028 and awarded by the Department of Defense, Air Force Office of Scientific Research, National Defense Science and Engineering Graduate (NDSEG) Fellowship, 32 CFR 168a. A.N. acknowledges funding from the German Research Foundation (DFG) under the Project No. NI 1487/2-1. Additional financial support for this work was provided by the Princeton Center for Complex Materials (PCCM), a US National Science Foundation Materials Research Science and Engineering Center (Grant No. DMR-1420541). The authors gratefully acknowledge the computing time granted on the supercomputer Mogon at Johannes Gutenberg University Mainz (www.hpc.uni-mainz.de).
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/8/19
Y1 - 2016/8/19
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevFluids.1.044203
DO - 10.1103/PhysRevFluids.1.044203
M3 - Article
AN - SCOPUS:85015392219
SN - 2469-990X
VL - 1
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 4
M1 - 044203
ER -