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Asymmetry of current-voltage characteristics of ion-exchange membranes: Model of charge density of fixed groups linear by membrane thickness

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Abstract

The model of a finely porous membrane with a linear distribution of charges of its fixed groups along its depth is used in the work to explain the phenomenon of asymmetry of current-voltage characteristics of perfluorinated MF-4SK membranes surface–modified by polyaniline or halloysite nanotubes. A new exact analytical method of solution of a system of transport equations is suggested that is based on the assumption of the monotonous behavior of the electric potential inside the membrane and allows finding current- voltage characteristics (CVCs) of the membrane using a system of two implicit algebraic equations. Algebraic equations for limiting currents are obtained for the first time for different orientations of the anisotropic membrane in an electrodyalisis cell and existence of two inflection points in CVCs is explained when its less charge side is oriented towards the anode.

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References

  1. Filippov, A.N., Starov, V.M., Kononenko, N.A., and Berezina, N.P., Adv. Colloid Interface Sci., 2008, vol. 139, p. 29.

    Article  CAS  Google Scholar 

  2. Filippov, A.N., Iksanov, R.Kh., Kononenko, N.A., and Berezina, N.P., Falina, I.V., Colloid J., 2010, vol. 72, p. 243.

    Article  CAS  Google Scholar 

  3. Berezina, N.P., Kononenko, N.A., Filippov, A.N., Shkirskaya, S.A., Falina, I.V., and Sycheva, A.A., Russ. J. Electrochem., 2010, vol. 46, p. 485.

    Article  CAS  Google Scholar 

  4. Filippov, A.N. and Iksanov, R.Kh., Russ. J. Electrochem., 2012, vol. 48, p. 181.

    Article  CAS  Google Scholar 

  5. Filippov, A.N., “Asymmetry of Voltammetric Characteristics: Bilayer Model of Modified Ion–Exchange Membrane”, Colloid J., 2016, vol. 78, p. 397.

    Article  CAS  Google Scholar 

  6. Loza, N.V., Dolgopolov, S.V., Kononenko, N.A., Andreeva, M.A., and Korshikova, Yu.S., Russ. J. Electrochem., 2015, vol. 51, p. 538.

    Article  CAS  Google Scholar 

  7. Filippov, A., Afonin, D., Kononenko, N., and Shkirskaya, S., “Application of Mathematics in Technical and Natural Sciences”: 7th Int. Conf. for Promoting the Application of Mathematics in Technical and Natural Sciences–AMiTaNS’15″, AIP Conf. Proc., 2015, vol. 1684, p. 030004.

    Google Scholar 

  8. Ramírez, P., Apel, P.Yu., Cervera, J., and Mafé, S., Nanotechnology, 2008, vol. 19, p. 315707.

    Article  Google Scholar 

  9. Apel, P.Yu., Blonskaya, I.V., Orelovitch, O.L., and Dmitriev, S.N., Nucl. Instrum. Methods Phys. Res., 2008, vol. 267, p. 1023.

    Article  Google Scholar 

  10. Kononenko, N.A., Dolgopolov, S.V., Loza, N.V., and Shel’deshov, N.V., Russ. J. Electrochem., 2015, vol. 51, p. 19.

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Gubkin Russian State University of Oil and Gas (National Research University), Leninskii pr. 65, Moscow, 119991, Russia

    A. N. Filippov

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  1. A. N. Filippov
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Correspondence to A. N. Filippov.

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Original Russian Text © A.N. Filippov, 2017, published in Elektrokhimiya, 2017, Vol. 53, No. 3, pp. 292–305.

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Filippov, A.N. Asymmetry of current-voltage characteristics of ion-exchange membranes: Model of charge density of fixed groups linear by membrane thickness. Russ J Electrochem 53, 257–269 (2017). https://doi.org/10.1134/S1023193517030053

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  • DOI: https://doi.org/10.1134/S1023193517030053

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