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A mathematical model of multiple ion transport across an ion-selective membrane under current load conditions

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Abstract

A macrohomogeneous mathematical model of the simultaneous transport of multiple ions across an ion exchange membrane based on the Nernst–Planck equation was developed. Schlögl's equation of motion was used to evaluate the convective term of the mass-transfer inside the membrane. The model accounts for the external diffusion of the ions through the Nernst diffusion layer to the phase boundary on both sides of the membrane. Donnan equilibrium is used to describe the potential and the concentration discontinuity on the membrane-solution interface. The results document the importance of the external diffusion layers for ion transport across the membrane.

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Authors and Affiliations

  1. Department of Inorganic Technology, Institute of Chemical Technology, Technická, 5, 16628, Prague 6, Czech Republic

    V. Fíla & K. Bouzek

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  1. V. Fíla
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  2. K. Bouzek
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Correspondence to K. Bouzek.

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Fíla, V., Bouzek, K. A mathematical model of multiple ion transport across an ion-selective membrane under current load conditions. Journal of Applied Electrochemistry 33, 675–684 (2003). https://doi.org/10.1023/A:1025018726112

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