Modeling of volumetric debit in nanofiltration membrane process
摘要
This study introduces a transport model for nanofiltration systems, focusing on the influence of transmembrane pressure, membrane permeability, fluid viscosity, and solute concentration on the volumetric flow rate. By simulating the random motion of fluid particles and their interactions with the membrane, the model provides insight into clogging mechanisms and their impact on filtration performance. Our results indicate that increasing the transmembrane pressure from 1 to 5 bar produces an exponential increase in volumetric flow rate, whereas doubling the viscosity reduces the flow by more than half. Similarly, raising the membrane permeability from 0.1 to 0.3 L·m⁻²·h⁻¹·bar⁻¹ enhances the permeate flux and decreases fouling sensitivity, highlighting the importance of optimizing these operational parameters. Fluid viscosity and solute concentration also play critical roles, as higher values significantly reduce flow rate and increase the probability of clogging. Furthermore, our analysis of fouling behavior shows that particle accumulation on the membrane surface progressively decreases performance over time, offering useful insights for clogging-mitigation strategies. These findings contribute to a better optimization of nanofiltration processes, particularly in water treatment and industrial applications, and provide guidance for improving permeate-flow behavior and ensuring long-term operational sustainability.