<p>Global warming (resulted by the abnormal emission of CO₂) has recently been an important global subject of concern due to its detrimental effects on the human well-being. Therefore, developing novel and cost-effective procedure for mitigating the CO₂ release into the atmosphere is of prime importance. Recently, the employment of ionic liquids (ILs) for increasing the removal proficiency of CO₂ in membrane-based processes has been a hot research topic among scientists. The emergence of indisputable positive points such as eco-friendliness, low flammability and negligible volatility have made the ILs a promising alternative for benchmark amine solutions. In this paper, the authors have made their effort to propose a numerical model following to a computational fluid dynamics (CFD) simulation for estimating the separation percentage of CO₂ pollutant using 1-ethyl-3-methylimidazolium dicyanamide ([emim][DCA]) and 1-ethyl-3-methylimidazolium methylsulfate ([emim][MS]) ILs in the hollow fiber membrane contactor (HFMC). Comparison of model outcomes with experimental-based results shows an appropriate agreement with absolute relative error (ARE) less than 5%.</p>