This study presents an extended thermodynamic and phenomenological combined model to mitigate the environmental hazardous acid gas over composite membranes. The model has been applied to an acid gas such as carbon dioxide (CO₂) for its permeation through polyetherimide incorporated montmorillonite (Mt) nanoparticles hollow fiber asymmetric composite membranes. The well-established non-equilibrium lattice fluid (NELF) model for penetrating low molecular weight penetrant in a glassy polyetherimide (PEI) was extended to incorporate the other important polymer/filler system features such as tortuosity in acid gas diffusion pathways resulted from layered filler aspect ratio and concentration. The model mentioned above predicts the behavior of acid gas in PEI-Mt composite membranes based on thermodynamic characteristics of CO₂ and PEI and tortuosity due to Mt. The calculated results are compared to experimentally determined values of CO₂ permeability through PEI-Mt composite asymmetric hollow fiber membranes at varying transmembrane pressures and Mt concentrations. A reasonable agreement was found between the model predicted behavior and experimentally determined data in terms of CO₂ solubility, Mt concentration and aspect ratio were calculated based on average absolute relative error (%AARE). The proposed modified model efficiently predicts the CO₂ permeance across MMMs up to 3 wt% Mt loadings and 6 bar pressure with ± 10%AARE.

这项研究提出了扩展的热力学和现象学组合模型，以减轻复合膜上的环境有害酸性气体。该模型已应用于酸性气体，例如二氧化碳（CO ₂）可以通过掺入聚醚酰亚胺的蒙脱土（Mt）纳米粒子中空纤维不对称复合膜渗透。扩展了完善的在玻璃状聚醚酰亚胺（PEI）中渗透低分子量渗透剂的非平衡晶格液（NELF）模型，以合并其他重要的聚合物/填充剂系统功能，例如层状填充剂导致的酸性气体扩散路径中的曲折性长宽比和浓度。上述模型基于CO ₂和PEI的热力学特性以及Mt引起的曲折来预测PEI-Mt复合膜中酸性气体的行为。将计算结果与实验确定的CO ₂值进行比较在变化的跨膜压力和Mt浓度下通过PEI-Mt复合不对称中空纤维膜的渗透性 在模型预测行为和实验确定的数据之间，在CO ₂溶解度，Mt浓度和纵横比的计算上，根据平均绝对相对误差（％AARE）计算出合理的一致性。提出的改进模型可以有效地预测MMM的CO ₂渗透率，最高Mt负载为3 wt％，压力为6 bar，AARE为±10％。