Abstract
Three-layer combination formed in dialysis systems, which comprises membrane confined between two diffusion layers, can be considered as a single whole (a fragment) included in numerous complicated electrodialysis assemblies. A mathematical model is developed for estimating the electrodiffusion transfer in such a fragment containing four operating salt ions with the allowance for the membrane heterogeneous structure. The method of solving the problem is based on the integrating of the Nernst-Planck transfer differential equations with the corresponding boundary and interfacial conditions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gnusin, N.P., Zabolotskii, V.I., Nikonenko, V.V., and Meshechkov, A.I., Zh. Fiz. Khim., 1980, vol. 54, p. 1518.
Gnusin, N.P., Kononenko, N.A., and Parshikov, S.B., Elektrokhimiya, 1994, vol. 30, p. 35 [Russ. J. Electrochem. (Engl. Transl.), vol. 30, p.].
Zabolotskii, V.I., Manzanares, Kh.A., Mafe, S., Nikonenko, V.V., and Lebedev, K.A., Elektrokhimiya, 2002, vol. 8, p. 921 [Russ. J. Electrochem. (Engl. Transl.), vol. 8, p.].
Lebedev, K.A., Nikonenko, V.V., Zabolotskii, V.I., Metaie, M., and Kovalev, I.V., Elektrokhimiya, 2002, vol. 38, p. 776 [Russ. J. Electrochem. (Engl. Transl.), vol. 38, p.].
Odelevskii, V.I., Zh. Tekh. Fiz., 1951, vol. 21, p. 678.
Kharkats, Yu.I., Elektrokhimiya, 1985, vol. 21, p. 974.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.P. Gnusin, 2009, published in Elektrokhimiya, 2009, Vol. 45, No. 10, pp. 1237–1243.
Rights and permissions
About this article
Cite this article
Gnusin, N.P. Mathematical model of electrodiffusion transfer through three-layer membrane system: Diffusion layer-ion-exchange membrane-diffusion layer. Russ J Electrochem 45, 1149–1155 (2009). https://doi.org/10.1134/S1023193509100061
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1023193509100061