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Steady state of ion transport in homopolar ion-exchange membrane: a theoretical study

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Abstract

We conducted a theoretical study of ion transport through a polar cationic membrane subjected to the action of an electric field. We solved the transport equation without the usual electroneutrality assumption. We investigated the validity of the constant field approximation in the study of ion transport across a membrane and analyzed the case in which the membrane’s charge density is constant. We have shown, by numerical simulations, that the PS model (Sistat and Pourcelly, J Elec Chem 460:53, 1999) does not reproduce the three regimes of polarization curve mode. We also proposed an alternative approach to the problem based on Mean Field approximation. Our approach reproduces qualitatively better the well-known behavior of the polarization curve.

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Acknowledgments

The authors would like to thank the editor and the referee for the valuable comments on our submitted manuscript. A. C. O. acknowledges FAPEMIG for the partial financial support. F. D. R. A. acknowledges CNPq for the partial financial support.

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Authors and Affiliations

  1. Departamento de Física e Matemática, Universidade Federal de São João Del Rei, C.P. 131, Ouro Branco, MG, 36420-000, Brazil

    Adélcio C. Oliveira

  2. Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Ilhéus, Bahia, 45662 000, Brazil

    Franco D. R. Amado & Ruan C. A. Moura

Authors
  1. Adélcio C. Oliveira
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  2. Franco D. R. Amado
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  3. Ruan C. A. Moura
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Correspondence to Adélcio C. Oliveira.

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Technical Editor: Francisco Ricardo Cunha.

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Oliveira, A.C., Amado, F.D.R. & Moura, R.C.A. Steady state of ion transport in homopolar ion-exchange membrane: a theoretical study. J Braz. Soc. Mech. Sci. Eng. 38, 1165–1170 (2016). https://doi.org/10.1007/s40430-015-0357-x

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  • DOI: https://doi.org/10.1007/s40430-015-0357-x

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