Graphene Oxide Nanocapillary Filtration: 2D Flow-Field Model

This is the 2D counterpart to the 3D graphene-oxide nanocapillary sim, and it computes the physics differently rather than just flattening the same scene. A side-on cross-section shows the stacked GO sheets and the slit-shaped channels between them, each carrying a genuine parabolic Poiseuille velocity profile: particles near the channel's mid-plane are drawn faster than particles near the walls, exactly as real slit flow behaves. Instead of a single hard-cutoff test comparing a solute's hydrated diameter to the channel opening, every attempt to cross the membrane face is resolved with the continuous Renkin steric-hindrance equation, so rejection rises smoothly as the channel narrows instead of snapping between "passes" and "blocked" at one exact spacing. Water permeance is reported in the real membrane-science unit L·m⁻²·h⁻¹·bar⁻¹, computed from actual water viscosity rather than an arbitrary score. Tune interlayer spacing, laminate thickness and pressure to watch the velocity profile and the sieving curve respond together.