Coupled lattice-Boltzmann and finite-difference simulation of electroosmosis in microfluidic channels

In this article we are concerned with an extension of the lattice‐Boltzmann method for the numerical simulation of three‐dimensional electroosmotic flow problems in porous media. Our description is evaluated using simple geometries as those encountered in open‐channel microfluidic devices. In partic...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2004-10, Vol.46 (5), p.507-532
Main Authors: Hlushkou, Dzmitry, Kandhai, Drona, Tallarek, Ulrich
Format: Article
Language:English
Subjects:
Applied fluid mechanics
Computational methods in fluid dynamics
electroosmotic flow
Exact sciences and technology
finite-difference method
Fluid dynamics
Fluidics
Fundamental areas of phenomenology (including applications)
lattice-Boltzmann method
microfluidics
Physics
porous media
surface charge distribution
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Summary:In this article we are concerned with an extension of the lattice‐Boltzmann method for the numerical simulation of three‐dimensional electroosmotic flow problems in porous media. Our description is evaluated using simple geometries as those encountered in open‐channel microfluidic devices. In particular, we consider electroosmosis in straight cylindrical capillaries with a (non)uniform zeta‐potential distribution for ratios of the capillary inner radius to the thickness of the electrical double layer from 10 to 100. The general case of heterogeneous zeta‐potential distributions at the surface of a capillary requires solution of the following coupled equations in three dimensions: Navier–Stokes equation for liquid flow, Poisson equation for electrical potential distribution, and the Nernst–Planck equation for distribution of ionic species. The hydrodynamic problem has been treated with high efficiency by code parallelization through the lattice‐Boltzmann method. For validation velocity fields were simulated in several microcapillary systems and good agreement with results predicted either theoretically or obtained by alternative numerical methods could be established. Results are also discussed with respect to the use of a slip boundary condition for the velocity field at the surface. Copyright © 2004 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.765