Extended Poisson–Nernst–Planck modeling of membrane blockage via insoluble reaction products

Visualization of Ion Fluxes in Nanopipettes: Detection and Analysis of Electro-osmosis of the Second Kind

“…15 To use the applied potential to control reaction conditions within a nanopore, it is essential that the local electric field and ion distribution are understood. Most understanding in this area comes from finite element method (FEM) simulation of the continuum Poisson−Nernst−Planck model, 1,3,4,13,16 with the Navier−Stokes equation also added to account for electroosmotic flow (EOF) 17 and speciation reactions to account for solution equilibria. 16 While providing significant insight, these models also make a number of assumptions that have not yet been tested adequately.…”

“…Most understanding in this area comes from finite element method (FEM) simulation of the continuum Poisson−Nernst−Planck model, 1,3,4,13,16 with the Navier−Stokes equation also added to account for electroosmotic flow (EOF) 17 and speciation reactions to account for solution equilibria. 16 While providing significant insight, these models also make a number of assumptions that have not yet been tested adequately. In particular, original nanopore simulation geometries focused on nanoporous membranes, where the pore wall was effectively infinitely thick and was represented with a surface charge boundary condition.…”