Abstract
In electromembrane systems, a theoretical study of salt ion transfer usually uses mathematical models of salt ion transfer in the depleted diffusion layer of ion-exchange membranes. In this paper, a new mathematical model of ion transport in the cross-section of the desalination channel formed by two ion-exchange membranes – anion-exchange (AEM) and cation-exchange (CEM), taking into account the non-catalytic dissociation/recombination reaction of water molecules. The model is a boundary value problem for a non-stationary system of Nernst-Planck and Poisson equations. A numerical analysis of the boundary value problem is performed and the main regularities of the 1:1 salt ion transfer process are established, in particular, the occurrence and development of space charge breakdown is shown. The interaction of the space charge and the noncatalytic dissociation/recombination reaction of water molecules are theoretically investigated.
Highlights
Studies [1, 2] show the appearance and development of an extended space charge region in electromembrane systems under overlimiting current conditions
We showed theoretically using a mathematical model of 1:1 ion transport of salt ions [3], the occurrence of a space charge breakdown [1], in which the space charge of the cation-exchange membrane (CEM) and the space charge of the anion-exchange membrane (AEM) touch and the space charge of both membranes decreases, but the conduction channel consisting of salt ions is preserved
Studies [2, 4] shown, that the dissociation/recombination reaction of water molecules occurs in electromembrane systems, which has a significant effect on the processes of salt ion transfer
Summary
Studies [1, 2] show the appearance and development of an extended space charge region in electromembrane systems under overlimiting current conditions. Studies [2, 4] shown, that the dissociation/recombination reaction of water molecules occurs in electromembrane systems, which has a significant effect on the processes of salt ion transfer. The occurrence and development of the space charge and the dissociation/recombination reactions of water molecules that occur under overlimiting current conditions have been studied. The appearance of new charge carriers during the dissociation of water molecules, namely hydrogen and hydroxyl ions, should strongly affect the formation and development of the space charge and, the breakdown of the space charge. This raises an actual problem of theoretical investigation of the effect of dissociation/recombination of water molecules on space charge breakdown. The interaction of the space charge and the non-catalytic dissociation/recombination reaction of water molecules on the transport of salt ions are theoretically investigated
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