Mathematical modeling of nonlinear electrokinetic flow and ion transport in polyelectrolyte-coated nanopores

Abstract

This document describes the formation of a new mathematical model of nonlinear electrokinetic flow and ion transport through a polyelectrolyte-coated nanopore. This model improves upon the previously developed models by considering the ionic transport due to the confinement at the polyelectrolyte nanopore interface and the nonlinear electrokinetic interactions at high voltage. The model is numerically implemented, and the results of the simulations confirm the electrokinetic ion transport phenomena and align with experimental data. The results of our work demonstrate the advances made to the distinctively electrokinetically controlled nanopore devices and their use as versatile tools in biosensing, energy storage devices, and water treatment technologies.