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 |
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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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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.</description><subject>Competitive transport</subject><subject>Concentration polarization</subject><subject>Ion-exchange membranes</subject><subject>Mathematical modeling</subject><subject>Space charge region</subject><issn>0011-9164</issn><issn>1873-4464</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkMtOwzAQRS0EEqXwCUhZIVgYPI7jJCuEKl5SpS4KaytxJq1REwfbqeDvcVvEltU8dO_VzCHkEtgtMJB3S8YAaAlSXDN-w5gEQYsjMoEiT6kQUhyTyZ_klJx5_xFHXqbphCyWQ6Ux0evKrTDBtkUdEtsn2nYDBhPMFhMT5-Cq3g_WhSSsnR1X692W4lc09tHYYVdHBfpzctJWG48Xv3VK3p8e32YvdL54fp09zKkWTASqed2UWYEaBSs4QJ4VIFBnDTAudJry2CGvMZMll6hbAW1a10zKhjdlXufplFwdcgdnP0f0QXXGa9xs4hF29AoiBJFJEYXZQaid9d5hqwZnusp9K2Bqh0_t8akdG8W42uNTRfTdH3wYv9gadMprg73GxrjISDXW_JPwAwAvd3w</recordid><startdate>20020910</startdate><enddate>20020910</enddate><creator>Zabolotsky, V.I.</creator><creator>Manzanares, J.A.</creator><creator>Nikonenko, V.V.</creator><creator>Lebedev, K.A.</creator><creator>Lovtsov, E.G.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7UA</scope><scope>C1K</scope></search><sort><creationdate>20020910</creationdate><title>Space charge effect on competitive ion transport through ion-exchange membranes</title><author>Zabolotsky, V.I. ; Manzanares, J.A. ; Nikonenko, V.V. ; Lebedev, K.A. ; Lovtsov, E.G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c404t-c2bd958ece40821175814ec5d1024c3325d1e2be56926ecf41f3bb066d2d97b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Competitive transport</topic><topic>Concentration polarization</topic><topic>Ion-exchange membranes</topic><topic>Mathematical modeling</topic><topic>Space charge region</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zabolotsky, V.I.</creatorcontrib><creatorcontrib>Manzanares, J.A.</creatorcontrib><creatorcontrib>Nikonenko, V.V.</creatorcontrib><creatorcontrib>Lebedev, K.A.</creatorcontrib><creatorcontrib>Lovtsov, E.G.</creatorcontrib><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><jtitle>Desalination</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zabolotsky, V.I.</au><au>Manzanares, J.A.</au><au>Nikonenko, V.V.</au><au>Lebedev, K.A.</au><au>Lovtsov, E.G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Space charge effect on competitive ion transport through ion-exchange membranes</atitle><jtitle>Desalination</jtitle><date>2002-09-10</date><risdate>2002</risdate><volume>147</volume><issue>1</issue><spage>387</spage><epage>392</epage><pages>387-392</pages><issn>0011-9164</issn><eissn>1873-4464</eissn><abstract>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. 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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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