This research presents a 2D mathematical modeling based on finite difference method (FDM) for absorption of CO₂ into aqueous solution of ionic liquids ([bmim][BF₄] and [bmim][PF₆]) by means of hydrophobic polypropylene hollow fiber membrane contactor (HFMC). Governing equations with their corresponding boundary conditions were solved and the results were validated against reported experimental data and excellent agreement was found. This study has provided an opportunity to investigate the effects of various ionic liquids with different concentrations as well as liquid and gas flow rate on CO₂ absorption system in membrane contactors. The results demonstrated that molar flux of carbon dioxide for 25 wt% and 50 wt% solution of [bmim][PF₆] is 1.29 and 1.98 times that of pure water, respectively. Also [bmim][BF₄] has a weaker performance than [bmim][PF₆] due to lower carbon dioxide solubility, and the addition of 50 wt% of it to the pure water has increased the absorption rate by 32 %. Overall and liquid phase mass transfer coefficient has decreased in ionic liquid solutions. Reynolds number in tubes has been decreased by increasing of ionic liquid mass fraction and also a sharp decrease in the Reynolds number can be observed in the ionic liquids mass fractions greater than 60 wt%.

这项研究提出了一种基于有限差分法（FDM）的二维数学模型，该模型利用疏水性聚丙烯中空纤维将CO ₂吸收到离子液体（[bmim] [BF ₄ ]和[bmim] [PF ₆ ]）的水溶液中膜接触器（HFMC）。解决了具有相应边界条件的控制方程，并根据报告的实验数据验证了结果，并找到了极好的一致性。这项研究为研究不同浓度的各种离子液体以及液体和气体流速对CO ₂的影响提供了机会。膜接触器中的吸收系统。结果表明，对于[bmim] [PF ₆ ]的25重量％和50重量％的溶液，二氧化碳的摩尔通量分别是纯水的摩尔通量的1.29倍和1.98倍。此外，由于二氧化碳溶解度较低，[bmim] [BF ₄ ]具有比[bmim] [PF ₆ ]弱的性能，并且将其50wt％添加到纯水中使吸收率增加了32％。在离子液体溶液中，整体和液相的传质系数已经降低。管中的雷诺数已通过增加离子液体质量分数而降低，并且在大于60 wt％的离子液体质量分数中也可观察到雷诺数急剧下降。