Abstract
In this paper, a new mathematical approach is proposed for the solution of the ionic transport through a homopolar membrane subjected to the action of an electric field in the electrodialysis process. Given a more realistic approach to the diffusion phenomena acting on ion transport, the usual electroneutrality assumption is not adopted, since it is not effectively valid throughout the separation process in electrodialysis; instead, one deals with the Nernst–Planck equations by employing the mean field approach. In addition, it is intended to make clear the relationships between the parameters involved in the diffusion process by taking into account the geometric factors in the model composition, justifying the use of a three-dimensional one. Besides that, a more accurate representation of the electrodialysis characteristics will favor, naturally, intervention regarding the optimization of the separation process through possible changes in the mechanical and chemical properties of the membranes.
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