On the validity of ion selective membrane simplification in concentration polarization

Ion selective membrane (ISM) is widely used in electrochemical engineering and micro-fluidic processes, yet accurate modeling of the ISM still challenging due to many scientific issues. So far, assumptions on “ideal ISM” have been most simulation studies involving ion transport electrokinetic flow concentration polarization systems, but validity or accuracy those has never investigated. In this paper, using a two-dimensional nanochannel system with practical significance, we verify ideal model by making comparisons between idealized more realistic permselective terms simplifications over electrical potential, counter-ion concentration, zero co-ion flux. Our results show that fixed voltage are largely situations, especially under high applied and/or charge density inside ISM. However, flux simplification not exactly occasions. Significant errors may be incurred assumption when steady state solutions sought model. Some discussions influences structures also added. The obtained will help obtaining detailed understanding features nanoporous ISM, comparison experimental data necessary.