modeling and simulation of kuhni extraction column using a rate-based model

in this study, liquid-liquid extraction process in a kuhni extraction column was modeled and simulated. a non-equilibrium dynamic model was developed for modeling liquid-liquid extraction processes based on a rate-based model. the model equations are inclusive of partial and ordinary differential equations which were discretized in column height direction. the population balance model was used for the calculation of droplet size distribution in the dispersed phase and the column hydrodynamic parameters. the equations were solved simultaneously through the finite difference method and the numerical method of lines. experimental data on a bench scale kuhni extraction column was used to evaluate the simulation results. the average correlation coefficient error of the mean diameter of the dispersed phase and mass transfer in various operating conditions are less than 2% 4 % respectively. a comparison between the experimental data and the simulation results proves the better productivity of the presented non-equilibrium dynamic model.