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Updated: Jun 25, 2026

Merging Ion Concentration Polarization between Juxtaposed Ion Exchange Membranes to Block the Propagation of the Polarization Zone
Published on: February 23, 2017
On the propagation of concentration polarization from microchannel-nanochannel interfaces. Part II: Numerical and
Thomas A Zangle1, Ali Mani, Juan G Santiago
1Department of Mechanical Engineering, Stanford University, 440 Escondido Mall, Building 530, Room 225, Stanford, California 94305, USA.
Abstract:
We present results of a combined computational and experimental study of the propagation of concentration polarization (CP) zones in a microchannel-nanochannel system. Our computational model considers the combined effects of bulk flow, electromigration, and diffusion and accurately captures the dynamics of CP. Using wall charge inside the nanochannel as a single fitting parameter, we predict experimentally observed enrichment and depletion shock velocities. Our model can also be used to compute the existence of CP with propagating enrichment and depletion shocks on the basis of measured ion mobility and wall properties. We present experiments where the background electrolyte consists of only a fluorescent ion and its counterion. These results are used to validate the computational model and to confirm predicted trends from an analytical model presented in the first of this two-paper series. We show experimentally that the enrichment region concentration is effectively independent of the applied current, while the enrichment and depletion shock velocities increase in proportion to current density.

