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This paper reports a mass transfer model of a reactant flowing in a largeaspect ratio microfluidic chip made of a channel with electrodes on the sidewalls. A semi-analytical solution to the two-dimensional Fickian diffusion of areactant in a microchannel, including the electrochemical reaction at theelectrode interface, and the velocity profile obtained from the Navier-Stokesequations in a fully developed laminar regime is found . The solution iswritten in the Laplace domain in terms of transfer functions. The proposedsolution is an extension of the Leveque approximation describing the reactantdiffusion from the electrode to the middle of the microfluidic channel. Themain applications of this work are the use of the obtained transfer functionsfor the measurement of the Faradic current density or the chemicalconcentration at the electrode interface. The study can also be extended to theheat transfer in microfluidic electrochemical chips (temperature or heat fluxmeasurements at the electrode interface).

Semianalytical modeling of the mass transfer in microfluidic electrochemical chips