Runge-Kutta Numerical Method Followed by Richardson's Extrapolation for Efficient Ion Rejection Reassessment of a Novel Defect-Free Synthesized Nanofiltration Membrane.

ABSTRACT: A defect-free, loose, and strong layer consisting of zirconium (Zr) nanoparticles (NPs) has been successfully established on a polyacrylonitrile (PAN) ultrafiltration substrate by an in-situ formation process. The resulting organic-inorganic nanofiltration (NF) membrane, NF-PANZr, has been accurately characterized not only with regard to its properties but also its structure by the atomic force microscopy, field emission scanning electron microscopy, and energy dispersive spectroscopy. A sophisticated computing model consisting of the Runge-Kutta method followed by Richardson extrapolation was applied in this investigation to solve the extended Nernst-Planck equations, which govern the solute particles' transport across the active layer of NF-PANZr. A smart, adaptive step-size routine is c

SUBMITTER: Worou CN 

PROVIDER: S-EPMC7918593 | biostudies-literature | 2021 Feb

REPOSITORIES: biostudies-literature