Modeling and Simulation of Pulsed Sieve-Plate Extraction Column with Droplet Population Balance

Document Type : Research Article

Authors

Liquid-liquid Extraction; Pulsed sieve-plate column; Population balance; Modeling; Simulation

Abstract

In this research, a film model, considering forward mixing for the prediction of mass transfer behavior of a pulsed sieve-plate extraction column was applied.  For modeling the column hydrodynamic, a dynamic droplet population balance model (DPBM) has been used. The model equations, including disperse phase droplet and partial differential equations, were solved simultaneously using central differential and method of lines methods. The model was studied with water-ethyl acetate as a working system. The mean drop size and its distribution (in both volume and number) were calculated by the model. The model error for mean drop size is 0.65 % whereas the error of the correlation model for the same data is 8.36 %. The exact modeling of the column applying droplet size variations by droplet mass balance during the extraction column showed that the model has good agreement with experimental data.

Keywords

Main Subjects


[1] Kislik V. S., "Solvent Extraction: Classical and Novel Approaches", Elsevier, (2012).
[2] Asadollahzadeh M., Shahhosseini Sh., Torab-Mostaedi M., Ghaemi A., Drop Behavior in a Pilot Plant Oldshue–Rushton Extraction Column for Three Various Liquid-Liquid Systems, Sep. Purif. Technol., 159: 7-17 (2016).
[3] Asadollahzadeh M., Torab-Mostaedi M., Shahhosseini Sh., Ghaemi A., Experimental Investigation of Dispersed Phase Holdup and Flooding Characteristics in a Multistage Column Extractor, Chem. Eng. Res. Design, 105: 177-187 (2016).
[4] Asadollahzadeh M., Hemmati A., Torab-Mostaedi M., Shirvani M., Ghaemi A., Mohsenzadeh Z., Use of axial Dispersion Model for Determination of Sherwood Number and Mass Transfer Coefficients in a Perforated Rotating Disc Contactor, Chinese J. Chem. Eng., 25: 53-61 (2017).
[5] Hosseinzadeh M., Shirvani M., Ghaemi A., A Study on Mean Drop Size and Drop Size Distribution in an Educator Liquid–Liquid Extractor, Sep. Purif. Technol., 201: 205-213 (2018).
[7] Mohanty, S., Vogelpohl, A., A Simplified Hydrodynamic Model for a Pulsed Sieve-Plate Extraction Column, Chem. Eng. & Proc., 36: 385-395 (1997).
[8] Khani Al, Gourdon S.D., Casamatta C., Dynamic and Steady State Simulation of Hydrodynamics and Mass Transfer in Liquid-Liquid Extraction Column, Chem. Eng. Sci., 53: 1295-1305 (1989).
[9] Haverland, H., Vogelpohl, A., Gourdon, C., Casamatta, G., Simulation of Hydrodynamics in a Pulsed Sieve-Plate Column, Chem. Eng. Technol., 10: 84-91 (1987).
[10] Luo, G.S., Li, H.B., Tang, X.J., Wang, J.D., Drop Breakage in a Coalescence-Dispersion Pulsed-Sieve-Plate Extraction Column, Chem. Eng. J., 102: 185-191 (2004).
[11] Weinstein O, Semiat R and Lewi D.R., Modeling, Simulation and Control of Liquid-Liquid Extraction Columns, Chem. Eng. Sci., 53(2): 325-339 (1998).
[12] Bastani D., Stage-Wise Modeling of Liquid-Liquid Extraction Column, IJE Transactions., 17(1):  7-17 (2004).
[13] Tang X, Luo G, and Wang J., A Dynamicforward Mixing for Evaluating the Mass Transfer Performance of an Extraction Column, Che. Eng. Sci., 59(21): 4457-4466 (2004).
[15] Ettouney R.S, El-Rifai M.A., Ghallab A.O., Steady State Modeling of Perforated Plate Extraction Columns, Chem. Eng & Process., 46(8):713-720 (2007).
[16] Morales C, Elman H, and Perez A., Modeling and Simulation of Liquid Extraction Column with Structured Packing, C&C Eng., 31(12): 1694-1701 (2007).
[17] Martunus, Helwani Z, Othman M.R., Forward Mixing Model In A Rotating Disc Contactor for Kerosene–Acetic Acid–Water System, Chem. Eng. Sci., 34(10): 2901-2909 (2010).
[18] Ettouney R.S, El-Rifai  M.A, Composition Dynamics in Perforated Plate Liquid Extraction Column, IChem E., 89(11): 2228-2235 (2011).
[19] Casamatta, G., Vogelpohl, A. Modeling of Fluid Dynamics and Mass Transfer in Extraction Column, Ger. Chem. Eng, 96-103(1985).
[20] Godfery, J.C., Slater, M.J., "Liquid-Liquid Extraction Equipment", John Wiley & Sons, Inc., (1994).
[21] Wang, T., Wang, J., Jin, Y., A Novel Theoretical Break-Up Kernel Function for Bubble/Droplets in a Turbulent Flow, Chem. Eng. Sci., 4629-4637 (2003).
[23] Usman, M.R., Hussain, S.N., Rehman, L., Bashir, M., Butt, M.A., Mass Transfer Performance in a Pulsed Sieve-Plate Extraction Column, Proc. Pakistan Acad. Sci., 173-179 (2006).
[24] Usman, M.R., Rehman, L., Bashir, M., Drop size and Drop Size Distribution in a Pulsed Sieve-Plate Extraction Column, Proc. Pakistan Acad. Sci., 41-46 (2008).