Modification to solution-diffusion model for performance prediction of nanofiltration of long-alkyl-chain ionic liquids aqueous solutions based on ion cluster

Mathematical modeling for nanofiltration of ionic liquids (ILs) solutions could assist to understand transfer mechanism and predict experimental values. In this work, modeling by solution-diffusion model for nanofiltration of long-alkyl-chain ILs aqueous solutions was proposed. Molecular simulations were performed to validate the existence of ion cluster in long-alkyl-chain ILs aqueous solution. Based on the results of simulations, parameters used in the solution-diffusion model were modified, such as concentration of ILs and diameter of ion cluster. The modeling process was developed for three long-alkyl-chain ILs aqueous solutions with different concentrations (1-alkyl-3-methylimidazolium chloride: [C 6 mim]Cl, [C 8 mim]Cl, [C 10 mim]Cl). The calculated values obtained from modified solution-diffusion model could well match the experimental values.