Abstract A model that predicts the individual and mixed fluxes of pure solvent and surfactant through PDMS organic solvent nanofiltration membranes as well as the retention of the non-ionic surfactant Marlipal 24/70 from 1-dodecene was developed based on the solution diffusion model. In contrast to available models it requires only one fitting parameter that is independent of operating conditions. The other model parameters were estimated from detailed experimental observations independent from filtration data or literature values. Dependencies of the diffusion coefficients and molar volume on temperature and pressure, as well as membrane swelling and compaction were considered. Using the model fitted to filtration data at one operating condition it was possible to predict pure solvent flux with high accuracy for four different PDMS based membranes in a temperature range of 10–45 °C at pressures of 15–35 bar. Phenomenological behaviour of mixed solvent and surfactant flux were described accurately in every case. For temperature and membrane thickness variations, the model predicted solvent and surfactant flux within experimental uncertainty. Retentions, however, were accurately described.

中文翻译：

---

有机溶剂纳滤对有机溶剂通量和表面活性剂截留的建模与预测

摘要 基于溶液扩散模型，建立了预测纯溶剂和表面活性剂通过 PDMS 有机溶剂纳滤膜的单独和混合通量以及非离子表面活性剂 Marlipal 24/70 对 1-十二碳烯的保留的模型。与现有模型相比，它只需要一个与操作条件无关的拟合参数。其他模型参数是从独立于过滤数据或文献值的详细实验观察中估计出来的。考虑了扩散系数和摩尔体积对温度和压力以及膜膨胀和压实的依赖性。使用在一种操作条件下拟合过滤数据的模型，可以在 10–45 °C 的温度范围和 15–35 bar 的压力下，高精度地预测四种不同的基于 PDMS 的膜的纯溶剂通量。在每种情况下都准确描述了混合溶剂和表面活性剂通量的现象学行为。对于温度和膜厚度变化，该模型预测了实验不确定性内的溶剂和表面活性剂通量。然而，保留被准确地描述。