Multiscale Model for Electrokinetic Transport in Networks of Pores, Part I: Model Derivation

Langmuir : the ACS Journal of Surfaces and Colloids
Shima Alizadeh, Ali Mani

Abstract

We present an efficient and robust numerical model for the simulation of electrokinetic phenomena in porous media and microstructure networks considering a wide range of applications including energy conversion, deionization, and microfluidic-based lab-on-a-chip systems. Coupling between fluid flow and ion transport in these networks is governed by the Poisson-Nernst-Planck-Stokes equations. These equations describe a wide range of phenomena that can interact in a complex fashion when coupled in networks involving multiple pores with variable properties. Capturing these phenomena by direct simulation of the governing equations in multidimensions is prohibitively expensive. We present here a reduced-order model that treats a network of many pores via solutions to 1D equations. Assuming that each pore in the network is long and thin, we derive a 1D model describing the transport in the pore's longitudinal direction. We take into account the cross-sectional nonuniformity of potential and ion concentration fields in the form of area-averaged coefficients in different flux terms representing fluid flow, electric current, and ion fluxes. These coefficients are obtained from the solutions to the Poisson-Boltzmann equation and are tabu...Continue Reading

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Citations

Mar 12, 2020·Soft Matter·Jian ZhangXu Hou
Feb 8, 2021·Journal of Colloid and Interface Science·Huanhuan TianMartin Z Bazant
Jun 9, 2018·Langmuir : the ACS Journal of Surfaces and Colloids·Seoyun SohnSung Jae Kim

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