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Transport of ions and solvent in confined media

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Abstract

A new theoretical approach is used to model the transport properties of a cation-exchange membrane. By using the Navier-Stokes equation related to the Poisson-Boltzmann relation, it is thus possible to determine the solvent velocity in a membrane pore, and the influence of electroosmosis on the transport properties of the polymer. The variation of the transport coefficients with salt concentration in the membrane pore was modeled as for simple electrolytes: taking electrophoretic interactions and relaxation effect into account, we used MSA analytical expressions. We have investigated membrane conductivity and electrophoretic sodium mobility measurements when the membrane was equilibrated with NaCl solution. Good agreement was found between the experimental results and our theoretical model.

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Authors and Affiliations

  1. Laboratoire d’Electrochimie URA CNRS 430, Université Pierre et Marie Curie, 75252, Paris Cedex 05, France

    Albert Lehmani, Olivier Bernard & Pierre Turq

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  1. Albert Lehmani
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  2. Olivier Bernard
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  3. Pierre Turq
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Lehmani, A., Bernard, O. & Turq, P. Transport of ions and solvent in confined media. J Stat Phys 89, 379–402 (1997). https://doi.org/10.1007/BF02770771

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