Response Surface Methodology Based on Central Composite Design for Investigation of the Mean Drop Behaviors in Reactive Extraction System with Presence of Uranium in a Horizontal Pulsed Column

Document Type : Research Article


1 Faculty of Nuclear Engineering, Shahid Beheshti University, P.O. Box 1983969411, Tehran, I.R. IRAN

2 Material and Nuclear Fuel Research School, Nuclear Science and Technology Research Institute, PO Box 14155–1339, Tehran, I.R. IRAN


To carry out this investigation, drop behavior in a horizontal pulsed sieve-plated column was measured under with and without reactive extraction situations. Central composite design, a subcategory of response surface methodology, was utilized to survey the influence of the operational parameters on the drop behavior. The effect of the reactive extraction situation was also observed on droplet behavior. According to the experimental results, the effect of pulse intensity on the droplet behavior was greater than the phase flow rates. For the prediction of the Sauter mean drop diameter in a reactive extraction situation, a new correlation was determined. The results obtained via the proposed correlation were closely matched with the experimental results (AARE is about 6.64%). Also, to determine a predictive correlation for drop size distribution, log-normal, and normal probability density function were examined. The constant parameters at these probability density functions are specified by the obtained results as well as the mathematical approach.


Main Subjects

[1] Kumar J. R., Kim J., Lee J., Yoon H., A Brief Review on Solvent Extraction of Uranium From Acidic Solutions, Sep. & Purify. Reviews, 40: 77-125 (2011).
[2] Rydberg J., Musikas C., Choppin G. R., “Solvent Extraction Principles Practice”, CRC Press, New York, (2004).
[3] Kislik V. S., Advances in Development of Solvents for Liquid-Liquid Extraction, “Solvent Extraction Classical and Novel Approaches", Elsevier (2012).
[4] Khanramaki F., Shirani A.S., Safdari J., Torkaman R., Investigation of Liquid Extraction and Thermodynamic Studies on Uranium from Sulfate Solution by Alamine 336 as an Extractant, International Journal of Environmental Science And Technology, 15: 1467-1476 (2017).
[5] Khanramaki F., Safdari J., Shirani A. S., Torkaman R., Investigations on the Complete Removal of Iron(Iii) Interference on the Uranium(Vi) Extraction from Sulfate Leach Liquor Using Alamine 336 in Kerosene, Radiochimica Acta, 106: 631-643 (2018).
[6] Benedict M., Pigford T. H., H. W. Levi, Nuclear Chemical Engineering, 2nd ed., Mc Graw Hill Book Company, (1981).
[7] Behera P., Mishra R., Chakravortty V., Solvent Extraction of Uranium (Vi) and Molybdenum (Vi) by Alamine 310 and Its Mixtures from Aqueous H3PO4 Solution, J. Radioanal. Nucl. Chem., 173: 161-169 (1993).
[8] Ramadevi G., Sreenivas T., Navale A.S., Padmanabhan N.P.H., Solvent Extraction of Uranium from Lean Grade Acidic Sulfate Leach Liquor with Alamine 336 Reagent, J. Radioanal Nucl. Chem., 294: 13-18 (2012).
[9] Quinn J.E., Wilkins D., Soldenhoff K.H., Solvent Extraction of Uranium from Saline Leach Liquors Using Dehpa/Alamine 336 Mixed Reagent, Hydrometallurgy, 134: 74-79 (2013).
[10] Zahakifar F., Charkhi A., Torab-Mostaedi M., Davarkhah R., Kinetic Study of Uranium Transport via a Bulk Liquid Membrane Containing Alamine 336 as a Carrier, Journal of Radioanalytical and Nuclear Chemistry, 316: 247-255 (2018).
[11] Godfrey J.C., Slater M.J., “Liquid-Liquid Extraction Equipment, New York: John Wiley & Sons, Inc. (1994).
[12] Jaradat M., Attarakih M., Bart H., Population Balance Modeling of Pulsed (Packed and Sieve-Plate) Extraction Columns: Coupled Hydrodynamic and Mass Transfer, Ind. Eng. Chem. Res., 50: 14121-14135 (2011).
[13] Samani G., Safdari J., Haghighi-Asl A., Torab-Mostaedi M., Effect of Structural Parameters on Drop Size Distribution in Pulsed Packed Columns, Chem. Eng. Technol., 37: 1155-   (2014).
[14] Hussain A.A., Liang T.-B., Slater M.J., Characteristic Velocity of Drops in a Liquid-Liquid Extraction Pulsed Sieve Plate Column, Chem. Eng. Res. Des., 66: 541-554 (1988).
[15] Brauer H., Sucker D., Biological Waste Water Treatment in a High-Efficiency Reactor, Ger. Chem. Eng., 2: 77-   (1979).
[16] Procházka J., Hafez M.M., The Analysis of the Dynamic Effects in Vibrating and Pulse Plate Extraction Columns, Collect. Czech. Chem. Commun., 37: 3725-3734 (1972).
[17] Logsdail D.H., Thornton J.D., Developments in Horizontal Pulsed Contactors for Liquid-Liquid Extraction Processes, Journal of Nuclear Energy, 1: 15-      (1959).
[19] Maaß S., Wollny S., Voigt A., Kraume M., Experimental Comparison of Measurement Techniques for Drop Size Distributions in Liquid/Liquid Dispersions, Exp. Fluids, 50: 259-269 (2011).
[20] Asadollahzadeh M., Shahhosseini S., Torab-Mostaedi M., Ghaemi A., Drop Behavior in a Pilot Plant Oldshue–Rushton Extraction Column for Three Various Liquid–Liquid Systems, Separation and Purification Technology, 159: 7-17 (2016).
[21] Thornton J.D., “Science and Practice Of Liquid-Liquid Extraction, University Press, Oxford (1992).
[22] Moreira E., Pimenta L.M., Carneiro L.L., Faria R.C.L., Mansur M.B., Ribieron J.P., Hydrodynamic Behavior of Rotating Disc Contactor Under Low Agitation Conditions, Chem. Eng. Commun., 192(8): 1017-1035 (2007).
[23] Oliveira N.S., Silva D.M., Gond M.P.C., Mansur M.B., A Study of The Drop Size Distributions and Hold-Up in Short Kühni Columns, Braz. J. Chem. Eng., 25(4): 729-  (2008).
[24] Ashrafmansouri S.S., Esfahany M.N., The Influence of Silica Nanoparticles on Hydrodynamics and Mass Transfer in Spray Liquid-Liquid Extraction Column, Sep. Purify. Technol., 151: 74-81 (2015).
[25] Ousmane S., Isabelle M., Mario M., Mamadou T., Jacques A., Study of Mass Transfer and Determination of Drop Size Distribution in a Pulsed Extraction Column, Chem. Eng. Res. Des., 89: 60-68 (2011).
[27] Yadav R.L., Patwardhan A.W., Design Aspects of Pulsed Sieve Plate Columns, Chem. Eng. J., 138: 389-415 (2008).
[28] Usman M.R., Sattar H., Hussain S.N., Muhammad H., Asghar A., Afzal W., Drop Size in a Liquid Pulsed Sieve-Plate Extraction Column, Braz. J. Chem. Eng., 26: 677-  (2009).
[29] Samani M.G., Haghighi-Asl A., Safdari J., Torab-Mostaedi M., Drop Size Distribution and Mean Drop Size in a Pulsed Packed Extraction Column, Chem. Eng. Res. Des., 90: 2148-2154 (2012).
[30] Torab-Mostaedi M., Ghaemi A., Asadollahzadeh M., Flooding and Drop Size in a Pulsed Disc and Doughnut Extraction Column, Chemical Engineering Research and Design, 89: 2742-2751 (2011).
 [31] Khajenoori M., Haghighi-Asl A., Safdari J., Mallah M.H., Prediction of Drop Size Distribution in a Horizontal Pulsed Plate Extraction Column, Chemical Engineering and Processing, 92: 25-32 (2015).
[32] Panahinia F., Ghannadi-Maragheh M., Safdari J., Amani P., Mallaha M.H., Experimental Investigation Concerning the Effect of Mass Transfer Direction on Mean Drop Size and Holdup in a Horizontal Pulsed Plate Extraction Column, Royal Society of Chemistry, RSC Advances, 7: 8908-8921 (2017).
[33] Rincon-Rubio L.M., Kumar A., Hartland S., Drop Size Distribution and Average Drop Size in a Wirz Extraction Column, Chem. Eng. Res. Des., 72: 493-502 (1994).
[34] Zhang S.H., Yu S.C., Zhou Y.C., Su Y.F., A Model for Liquid-Liquid Extraction Column Performance – the Influence of Drop Size Distribution on Extraction Efficiency, Can. J. Chem. Eng., 63: 212-226 (1985).
[35] Chen W.L., Zhong L.M., Chen L., Weiyang W., Measurement and Analysis of Bimodal Drop Size Distribution in a Rotor–Stator Homogenizer, Chem. Eng. Sci., 102: 622-631 (2013).