Nonrandom Two-Liquid Model with Differential Evolution for Experimental Liquid-Liquid Equilibrium Calculation

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Document Type : Research Article

Authors

1 Dynamics, Interaction and Reactivity of Systems laboratory, University of KASDI MERBAH OUARGLA, ALGERIA

2 Department of Mathematics and Computer science. High Normal School Assia Djebar, Ali Mendjli, Constantine, Algeria.

Abstract

In this study, the Nonrandom Two-Liquid model (NRTL) was used to calculate the isoactivity equations from the experimental liquid-liquid equilibrium (LLE) data. Additionally, the original Differential Evolution method (DE_rand1) and its modifications involve the self-adaptive control parameters differential evolution (JDE), the adaptive differential evolution with optional external archive (JADE), and the composite differential evolution (CODE) have been used to estimate the binary interaction parameters. Randomization of regression parameters has been used to minimize the fitting objective function. Furthermore, the effectiveness of these optimization methods was tested in a quaternary system of water, acetic acid, 50 % dichloromethane (DCM), and 50 % methyl isobutyl ketone (MIBK) at 301.15 K. Moreover, the optimization process assessment was carried out by a regression analysis using Root Mean Square Deviation (RMSD), mean, standard deviation, and the duration of execution time spent on both the activity and the fractional objective functions. Root Mean Square Deviation (RMSD) results that were less than or equal to 0.0107 demonstrated the effectiveness of Differential Evolution methods in estimating NRTL parameters for this specific system. Finally, the original method (DE_rand1) was found to be the most efficient approach among all its variations.

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Iranian Journal of Chemistry and Chemical Engineering

Articles in Press, Accepted Manuscript
Available Online from 27 February 2024

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