Mathematical modeling of electrodynamics of bipolar membranes with water dissociation and chemical reaction of ionizable groups
UDC
519.63:[537.29:538.93+544.6.018.Abstract
The microscale electrolyte behavior both near and inside the bipolar ion-selective electric membrane in microscales under an external normal to the membrane surface electric field is scrutinized. Bipolar membrane is a combination of cation-exchange and anion-exchange membranes. Strong electric field in the junction between membranes leads to more intensive than in the monopolar membranes water dissociation process, that is why the bipolar membranes are widely used in the chemical industry. For investigation of aforementioned phenomena the three-layer system electrolyte-membrane-electrolyte is considered. The base of the mathematical model is the Nernst-Planck-Poisson system of nonlinear equations and an extra transport equations for ions of dissociated water with a source terms are added to the basic system of equations. It is found numerically that the maximal dissociation takes place within the junction between membranes. The flux of water ions not only enhances the total electric current through the system, but also leads to an exaltation effect. Taking into account the second Wien effect allows to explain the transition to the overlimiting mode in the system, which has been observed during the experiments.
Keywords:
microfluidics, bipolar membrane, Nernst-Plank-Poisson system, second Wien effect, numerical solutionAcknowledgement
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