Space charge effect on competitive ion transport through ion-exchange membranes

A mathematical model of the competitive electro-transport of two counter-ions through an ion exchange membrane based on the Nernst-Planck and Poisson equations is developed. A three-layer system is considered: the membrane and two adjacent diffusion layers. Concentration profiles in the three layers...

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Veröffentlicht in:Desalination 2002-09, Vol.147 (1), p.387-392
Hauptverfasser: Zabolotsky, V.I., Manzanares, J.A., Nikonenko, V.V., Lebedev, K.A., Lovtsov, E.G.
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container_end_page 392
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container_start_page 387
container_title Desalination
container_volume 147
creator Zabolotsky, V.I.
Manzanares, J.A.
Nikonenko, V.V.
Lebedev, K.A.
Lovtsov, E.G.
description A mathematical model of the competitive electro-transport of two counter-ions through an ion exchange membrane based on the Nernst-Planck and Poisson equations is developed. A three-layer system is considered: the membrane and two adjacent diffusion layers. Concentration profiles in the three layers, effective transport numbers as functions of the current and current-voltage characteristics are calculated. Deviation from the local electroneutrality in space charge region near the depleted solution/membrane interface is taken into account. It is shown that the space charge region grows with the voltage applied. However the fluxes of the competitive counter-ions at over-limiting currents are determined by their transfer through the electroneutral part of the depleted diffusion layer.
doi_str_mv 10.1016/S0011-9164(02)00614-8
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subjects Competitive transport
Concentration polarization
Ion-exchange membranes
Mathematical modeling
Space charge region
title Space charge effect on competitive ion transport through ion-exchange membranes
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