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A semianalytical model of mass transfer impedance in microfluidic electrochemical chips (MEC) is developed using Fourier-Laplace integral transforms and quadrupole formalism, validated with MFC operando concentration fields, and can be used for various applications.

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System
MEC

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Abstract

In this paper we report a semianalytical model of the mass transfer impedance in microfluidic electrochemical chips (MEC). It is based on the molar advection diffusion equation in a microfluidic channel with a Poiseuille flow and an electrochemical reaction at the interface of deposited electrodes. Using the Fourier-Laplace integral transforms and the quadrupole formalism, a solution to these equations is found and the three dimensional (3D) transient concentration and current density fields are computed. This solution is validated using MFC operando concentration fields measured by visible spectroscopic imaging technique, and several equivalent electrical circuits are also proposed to model the mass transfer in MEC. This work reports the fastest way to compute the 3D transient mass transfer impedance which can be used in large variety of applications such as MEC based cytometry measurements or fuel cell current density prediction.

Keywords

Mass transferElectrical impedanceMicrofluidicsLaplace transformAnalytical Chemistry (journal)Scanning electrochemical microscopy

Identifiers

DOI
10.48550/arxiv.2210.08867
Journal
arXiv (Cornell University)
Year
2022