Electrodiffusional free boundary problem in concentration polarization in electrodialysis Academic Article uri icon

abstract

  • A singular perturbation problem, modeling one-dimensional time-dependent electrodiffusion in an electrolyte layer flanked by charge-selective walls (electrodes, ion-exchange membranes), is analyzed for galvanostatic (fixed electric current) conditions. It is shown that, as the perturbation parameter tends to zero, the solution of the perturbed problem tends to the solution of a certain limiting problem which is, depending on the input data, either a conventional diffusion problem or a diffusional free boundary problem equivalent to the one- phase Stefan problem with superheating. Spatial boundary layers in the perturbed problem are analyzed in both cases, together with the extended space charge zone which develops for electric currents above a certain critical (“limiting”) value. In this framework, the relaxational, vanishing at steady state, components of the ionic fluxes are being …

publication date

  • August 1, 1996