Limiting current density of an ion-exchange membrane and of an electrodialyzer

Electrodialytic desalination of brackish water: effect of process parameters and water characteristics

“…The magnitude of the concentration polarization is a function of various parameters including the applied current density, the feed flow velocity parallel to the membrane surface, the cell design, and the membrane properties [19][20][21][22]. The transport of charged species to the anode or cathode through a set of ion exchange membranes leads to a concentration decrease of counter-ions in the laminar boundary layer at the membrane surface facing the dilute cell and an increase at the surface facing the concentrate cell.…”

Formic acid regeneration by electromembrane processes

“…The limiting current is due to the difference between the transport number of an ion in the solution (where the current is transported by cations and anions) and in the membrane (where the current is due in a large part to one ion type) [13]. Measurements of the cell voltage U versus the current I for various sodium formate concentrations in the dilute solution (between 0.1 and 0.005 mol dm −3 ) were carried out.…”

Network simulation of the electrical response of ion-exchange membranes with fixed charge varying linearly with position

“…However, these properties were obtained on the basis of the Nernst-Planck and Poisson theoretical model in which the electroneutrality condition in the membrane and bathing solutions and the Donnan equilibrium relations at the membranejsolution interfaces are taken into account. It is now well known that these assumptions are not necessarily true in certain practical situations in which the membrane thickness is comparable with the Debye length and/or an electric current passes through the system [16][17][18][19][20][21]. In such situations, a rigorous theoretical treatment of the problem requires a numerical study by examining the structure of the spatial charge regions at the membranejsolution interfaces.…”