Cartridge & Rotor
Feed Solution
Stirred Cell (Sterlitech HP4750)
• Colton & Smith (1972): Sh = 0.285 × Re0.567 × Sc0.33
• Koutsou & Karabelas (2012): Stirrer diameter 21 mm, geometry & assumptions
CP factor Γ vs Jv
Log scale 0.01–10. Five reference membrane classes (SWRO → Loose NF). Green band: reliable window (Γ < 0.20). Dots: operating point at the specified ΔP.
Solute passage (1−R) vs Jv
Solid line: Rint(Jv) = Jv/(Jv+B). At the operating ΔP, each class operates at a different Jv: open circle = Rint, filled = Robs. The gap between them shows the CP correction — larger for classes that require lower RPM.
Model: Geraldes V., Fan H., Yang M., Rodrigues M., Elimelech M. — "Predicting concentration polarization in Ortho-Centrifugal Membrane Filters for NF/RO membrane screening." Preprint under review, Journal of Membrane Science (2026). Thermo-physical properties at 20 °C from Table 1 of the same work. Correlation kc/U* = 0.28 𝒢1/4 Sc−1/4, validated for Sc ∈ [700, 2200] and 𝒢 ∈ [7×10⁻⁹, 5×10⁻⁶]. Mean relative deviation ~7%, maximum ~22% vs DNS data.