Theoretical Analysis of the Stationary Transport of 1:1 Salt Ions in a Cross-Section of a Desalination Channel, Taking into Account the Non-Catalytic Dissociation/Recombination Reaction of Water Molecules

Membranes

Natalia Chubyr¹  Vitaly Gudza²  Makhamet Urtenov²  Inna Shkorkina² 

[1] Department of Applied Mathematics, Kuban State Technological University, 350042 Krasnodar, Russia;Department of Applied Mathematics, Kuban State University, 350040 Krasnodar, Russia;

关键词: ion-exchange membrane;    mathematical modelling;    using overlimiting current modes;    membrane systems;    cation-exchange membrane;    effect of the breakdown of the space charge;   

DOI  :  10.3390/membranes10110342

来源: DOAJ

【 摘 要 】

In electromembrane systems, the theoretical study of salt ion transport usually uses mathematical models of salt ion transport in the depleted diffusion layer of ion-exchange membranes. This study uses a one-dimensional mathematical model of salt ion transport in a cross-section of a desalination channel formed by anion-exchange and cation-exchange membranes, taking into account an effect of a dissociation/recombination reaction of water molecules. The reaction on the one hand leads to an overlimiting mass transfer due to the effect of exaltation of the limiting current. On the other hand, an appearance of new electric charge carriers (hydrogen and hydroxyl ions) can reduce the space charge that occurs in membranes and suppress an electroconvective mechanism of overlimiting transport. Thus, there is a problem of studying these phenomena together, taking into account their mutual influence, and this article is devoted to the solution of this problem. Theoretically, using a method of mathematical modeling and numerical research, main regularities are established; in particular, it is shown that the dissociation/recombination reaction of water molecules does not lead to the destruction of the double electric layer at the membranes, but also creates a new double electric layer in the middle of the desalination channel. Thus, the space charge and the dissociation/recombination reaction significantly affect each other and simultaneously the transport of salt ions.

【 授权许可】

Unknown