Amine-containing facilitated transport membranes (AFTMs) hold great potential in CO₂ separation and show remarkable separation performance under the existence of water. Conventional membrane gas separation models that mainly consider the effect of temperature and pressure are less effective for modeling AFTMs. In this study, we present a model that involves variable CO₂ permeance in AFTMs concerning relative humidity (RH), temperature, and CO₂ partial pressure. Sensitivity analysis and comparison of the proposed model and simplistic model highlight the significance of considering the effect of RH and CO₂ partial pressure on gas permeance of AFTMs. Case study results of post-combustion carbon capture indicate that variations in CO₂ concentration and feed pressure bring more pronounced changes on the separation performance of AFTMs than in temperature. Besides, the results of RH along the membrane module provide evidence of membrane area for module design with required RH, and the results can also be used to guide the humidification of multistage separation processes using AFTMs. Overall, the proposed model can be integrated into commercial process simulators to study the separation process with consideration of variations in operating conditions within the membrane module, overcoming the lack of rigorous models for supporting the design of membrane systems for carbon capture.

含胺的促进转运膜（AFTM）在CO ₂分离方面具有巨大潜力，在水存在下显示出显着的分离性能。传统的膜气体分离模型主要考虑温度和压力的影响，对AFTM的建模效果较差。在这项研究中，我们提出了一个模型，该模型涉及AFTM中涉及相对湿度（RH），温度和CO ₂分压的可变CO ₂渗透率。所提模型和简化模型的敏感性分析和比较突出了考虑RH和CO ₂分压对AFTM气体透过率的影响的重要性。燃烧后碳捕集的案例研究结果表明，CO的变化₂浓度和进料压力给AFTM的分离性能带来的变化要比温度带来的变化更为明显。此外，沿膜组件的RH结果为具有所需RH的组件设计提供了膜面积的证据，该结果还可用于指导使用AFTM进行多级分离过程的加湿。总体而言，可以将提出的模型集成到商业过程仿真器中，以在考虑膜组件内部操作条件变化的情况下研究分离过程，从而克服了缺乏支持碳捕集膜系统设计的严格模型的问题。