Euler’s Numerical Method for Ions Rejection Reassessment of a Defect-Free Synthesized Nanofiltration Membrane with Ultrathin Titania Film as the Selective Layer

Titanium (Ti) nanoparticles (NPs) were successfully seeded on the platform of a polyacrylonitrile (PAN) ultrafiltration (UF) membrane previously coated with bio-glue (a co-deposition dopamine hydrochloric bicarbonate buffer having undergone pyrocatechol deprotonation). The tools in vogue, especially field emission scanning electron microscopy (FESEM), energy dispersive spectroscopy (EDS), and atomic force (AFM), have made it possible to fully characterize structure new organic-inorganic nanofiltration (NF) membrane, namely NF_PAN_Ti. A soft computing model has been applied make commonplace complex implicit extended Nernst–Planck equations that govern transport ions through NF membranes. Euler’s numerical method was small step-size results obtained very interesting. filtration velocity approach GUEROUT-ELFORD-FERRY helped estimate average pore size NF_PAN_Ti rp = 0.538 nm. six-day test carried out demonstrated its long-term stability showed steady-rejection rate 89.3% MgCl2 salt permeate flux 56 L·m−2·h−1. Euler’ corroborated perfectly experimental findings since relative error found be low at 0.33% for Cl− 0.09% Mg2+ (RE << 0.1). These practical prediction may henceforth help choice calibration next-generation membranes’ synthesis.