, References

K. Gonda and T. Matsuda, Solvent Extraction Calculation Model for Purex Process in Pulsed Sieve Plate Column, Journal of Nuclear Science and Technology, vol.2428, issue.10, pp.883-895, 1986.
DOI : 10.1021/i260005a008

A. B. Jahya, G. W. Stevens, and H. R. Pratt, Pulsed Disc???and???Doughnut Column Performance, Solvent Extraction and Ion Exchange, vol.31, issue.1, pp.63-82, 2009.
DOI : 10.1021/ie00018a023

M. Jaradat, M. Attarakih, and H. Bart, Advanced prediction of pulsed (packed and sieve plate) extraction columns performance using population balance modelling, Chemical Engineering Research and Design, vol.89, issue.12, pp.2752-2760, 2010.
DOI : 10.1016/j.cherd.2011.05.009

M. Montuir, C. Sorel, V. Pacary, X. Heres, H. Roussel et al., PAREX simulation code: an efficient tool to model and simulate solvent extraction operations, Recents progrès en génie des procédés, 2011.

M. Attarakih, A. Mazen, and H. Bart, Modeling and dynamic analysis of a rotating disc contactor (RDC) extraction column using one primary and one secondary particle method (OPOSPM), Chemical Engineering Science, vol.91, pp.180-196, 2013.
DOI : 10.1016/j.ces.2013.01.032

A. Kumar and S. Harland, A Unified Correlation for the Prediction of Dispersed-Phase Hold-Up in Liquid-Liquid Extraction Columns, Industrial & Engineering Chemistry Research, vol.34, issue.11, pp.3925-3940, 1995.
DOI : 10.1021/ie00038a032

A. Kumar and S. Harland, Unified Correlations for the Prediction of Drop Size in Liquid???Liquid Extraction Columns, Industrial & Engineering Chemistry Research, vol.35, issue.8, pp.2682-2695, 1996.
DOI : 10.1021/ie950674w

O. Syll, I. Mabille, M. Moscosa-santillan, M. Traore, and J. Amouroux, Study of mass transfer and determination of drop size distribution in a pulsed extraction column, Chemical Engineering Research and Design, vol.89, pp.60-68, 2011.

S. A. Schmidt, M. Simon, M. Attarakih, G. Lagar, and H. Bart, Droplet population balance modelling???hydrodynamics and mass transfer, Chemical Engineering Science, vol.61, issue.1, pp.61-246, 2006.
DOI : 10.1016/j.ces.2005.02.075

N. B. Wyatt, T. J. O-'hern, and B. Shelden, Drop-size distributions and spatial distributions in an annular centrifugal contactor, AIChE Journal, vol.33, issue.6, pp.2219-2226, 2013.
DOI : 10.1002/aic.690330611

M. Nakase and K. Takeshita, Numerical and Experimental Study on Oil-water Dispersion in New Countercurrent Centrifugal Extractor, Procedia Chemistry, vol.7, pp.288-294, 2012.
DOI : 10.1016/j.proche.2012.10.046

D. Garthe, Fluid dynamics and mass transfer of single particles and swarms of particles in extraction columns, 2006.

E. Lobry, T. Lasuye, C. Gourdon, and X. C. , Liquid???liquid dispersion in a continuous oscillatory baffled reactor ??? Application to suspension polymerization, Chemical Engineering Journal, vol.259, pp.505-518, 2015.
DOI : 10.1016/j.cej.2014.08.014

URL : https://hal.archives-ouvertes.fr/hal-01061567

A. Khalil, F. Puel, Y. Chevalier, J. Galvan, A. Rivoire et al., Study of droplet size distribution during an emulsification process using in situ video probe coupled with an automatic image analysis, Chemical Engineering Journal, vol.165, issue.3, p.957, 2010.
DOI : 10.1016/j.cej.2010.10.031

URL : https://hal.archives-ouvertes.fr/hal-01271793

S. Maaß, J. Rojahn, R. Hänsch, and M. Kraume, Automated drop detection using image analysis for online particle size monitoring in multiphase systems, Computers & Chemical Engineering, vol.45, pp.27-37, 2012.
DOI : 10.1016/j.compchemeng.2012.05.014

M. M. Ribeiro, C. Gonçalves, P. F. Regueiras, M. M. Guimarães, J. J. et al., Measurements of toluene???water dispersions hold-up using a non-invasive ultrasonic technique, Chemical Engineering Journal, vol.118, issue.1-2, pp.47-54, 2006.
DOI : 10.1016/j.cej.2006.01.013

A. O-'rourke and P. Macloughlin, A comparison of measurement techniques used in analysis of evolving liquid-liquid dispersions, Chemical Engineering and Processing, vol.44, pp.885-894, 2005.

S. Maaß, S. Wollny, A. Voigt, and M. Kraume, Experimental comparison of measurement techniques for drop size distributions in liquid/liquid dispersions, Experiments in Fluids, vol.12, issue.4, pp.259-269, 2011.
DOI : 10.1021/op800063n

A. Amokrane, S. Charton, N. Sheibat-othman, J. Becker, J. Klein et al., Development of a CFD-PBE coupled model for the simulation of the drops behaviour in a pulsed column, The Canadian Journal of Chemical Engineering, vol.91, issue.2, pp.220-233, 2014.
DOI : 10.1016/j.cherd.2013.02.001

URL : https://hal.archives-ouvertes.fr/hal-01273007

N. Verrier, S. Cotmellec, M. Brunel, and D. Lebrun, , p.33

, raphy in thick optical systems: application to visualization in pipes, Applied optics, vol.47, issue.22, pp.4147-4157, 2008.

A. W. Pacek, I. P. Moore, A. W. Nienow, and R. V. Calabrese, Video technique for measuring dynamics of liquid-liquid dispersion during phase inversion, AIChE Journal, vol.40, issue.12, pp.12-1940, 1994.
DOI : 10.1002/aic.690401203

B. Hu, P. Angeli, O. K. Matar, C. J. Lawrence, and G. F. Hewitt, Evaluation of drop size distribution from chord length measurements, AIChE Journal, vol.39, issue.3, pp.931-939, 2006.
DOI : 10.1002/aic.10714

J. A. Boxall, C. A. Koh, E. D. Sloan, A. K. Sum, and D. T. Wu, Measurement and Calibration of Droplet Size Distributions in Water-in-Oil Emulsions by Particle Video Microscope and a Focused Beam Reflectance Method, Industrial & Engineering Chemistry Research, vol.49, issue.3, pp.1412-1418, 2010.
DOI : 10.1021/ie901228e

A. Amokrane, S. Maaß, H. Roussel, F. Lamadie, and S. Charton, In-situ droplets monitoring in a lab-scale pulsed column, International Solvent Extraction Conference ISEC, 2014.

J. Illingworth and J. Kittler, A survey of the Hough transform, Computer vision, graphics and image processing, pp.44-87, 1988.

M. Mickler, B. Boecker, and H. Bart, Drop swarm analysis in dispersions with incident-light and transmitted-light illumination, Flow Measurement and Instrumentation, pp.30-81, 2013.

M. Mickler, S. Didas, M. Jaradat, M. Attarakih, and H. Bart, Tropfenschwarmanalytik mittels Bildverarbeitung zur Simulation von Extraktionskolonnen mit Populationsbilanzen, Chemie Ingenieur Technik, vol.68, issue.4, pp.227-236, 2011.
DOI : 10.1016/j.jpdc.2008.05.010

F. B. Alban, S. Sajjadi, and M. Yianneskis, Dynamic Tracking of Fast Liquid???Liquid Dispersion Processes with a Real-Time in-Situ Optical Technique, Chemical Engineering Research and Design, vol.82, issue.8, pp.1054-1060, 2004.
DOI : 10.1205/0263876041580631

L. M. Brás, E. F. Gomes, M. M. Ribeiro, and M. M. Guimarães, Drop Distribution Determination in a Liquid-Liquid Dispersion by Image Processing, International Journal of Chemical Engineering, vol.60, issue.1, 2009.
DOI : 10.1002/aic.690401203

R. Gopalan and D. Jacobs, Comparing and combining lighting insensitive approaches for face recognition, Computer Vision and Image Understanding, vol.114, issue.1, pp.135-145, 2010.
DOI : 10.1016/j.cviu.2009.07.005

J. P. Lewis, Fast Normalized Cross-Correlation, Vision Interface, pp.120-123, 1995.

C. A. Coulaloglou and L. L. Tavlarides, Description of interaction processes in agitated liquid-liquid dispersions, Chemical Engineering Science, vol.32, issue.11, pp.1289-1297, 1977.
DOI : 10.1016/0009-2509(77)85023-9

M. A. Hsia and L. L. Tavlarides, A simulation model for homogeneous dispersions in stirred tanks, The Chemical Engineering Journal, vol.20, issue.3, pp.225-236, 1980.
DOI : 10.1016/0300-9467(80)80007-4

P. M. Bapat and L. L. Tavlarides, Mass transfer in a liquid-liquid CFSTR, AIChE Journal, vol.31, issue.4, pp.31-659, 1985.
DOI : 10.1002/aic.690310416

J. Per-becker, F. Puel, Y. Chevalier, and N. Sheibat-othman, Monitoring silicone oil droplets during emulsification in stirred vessel: Effect of dispersed phase concentration and viscosity, The Canadian Journal of Chemical Engineering, vol.57, issue.2, pp.296-306, 2014.
DOI : 10.1016/S0009-2509(02)00067-2

K. J. Valentas, O. Bilous, and N. R. Amundson, Analysis of Breakage in Dispersed Phase Systems, Industrial & Engineering Chemistry Fundamentals, vol.5, issue.2, pp.1103-1111, 1966.
DOI : 10.1021/i160018a019

A. Amokrane, S. Charton, F. Lamadie, F. Paisant, and J. Puel, Single-phase flow in a pulsed column: Particle Image Velocimetry validation of a CFD based model, Chemical Engineering Science, vol.114, pp.40-50, 2014.
DOI : 10.1016/j.ces.2014.04.003

URL : https://hal.archives-ouvertes.fr/hal-01273152

D. L. Marchisio, J. T. Pikturna, R. O. Fox, R. D. Vigil, and A. A. Barresi, Quadrature method of moments for population-balance equations, AIChE Journal, vol.55, issue.5, pp.49-1266, 2003.
DOI : 10.1016/S0009-2509(00)00059-2

D. L. Marchisio, R. D. Vigil, and R. O. Fox, Implementation of the quadrature method of moments in CFD codes for aggregation???breakage problems, Chemical Engineering Science, vol.58, issue.15, pp.3337-3351, 2003.
DOI : 10.1016/S0009-2509(03)00211-2

J. Solsvik, J. Per-becker, N. Sheibat-othman, I. Mohallick, R. Farzad et al., Viscous Drop Breakage in Liquid???Liquid Stirred Dispersions: Population Balance Modeling, Journal of Dispersion Science and Technology, vol.26, issue.4, pp.577-594, 2015.
DOI : 10.1080/01932691.2014.909318

C. Martinez-bazan, J. L. Montanes, and J. C. Lasheras, On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency, Journal of Fluid Mechanics, vol.401, pp.157-182, 1999.
DOI : 10.1017/S0022112099006680

M. Aoun-nabli, P. Guiraud, and C. Gourdon, Numerical experimentation: a tool to calculate the axial dispersion coefficient in discs and doughnuts pulsed solvent extraction columns, Chemical Engineering Science, vol.52, issue.14, pp.2353-22368, 1997.
DOI : 10.1016/S0009-2509(96)00517-9

A. Amokrane, S. Charton, F. Lamadie, J. Becker, J. Klein et al., Study of the dispersed phase behavior in a pulsed column for oxalate precipitation in emulsion, 9th International conference on CFD in the mineral and process industries, 2012.

J. Podgórska and W. , Scale-up effects on the drop size distribution of liquid???liquid dispersions in agitated vessels, Chemical Engineering Science, vol.56, issue.3, pp.741-746, 2001.
DOI : 10.1016/S0009-2509(00)00284-0

J. Kamp and M. Kraume, Influence of drop size and superimposed mass transfer on coalescence in liquid/liquid dispersions ??? Test cell design for single drop investigations, Chemical Engineering Research and Design, vol.92, issue.4, pp.635-643, 2014.
DOI : 10.1016/j.cherd.2013.12.023

J. Villwock, F. Gebauer, J. Kamp, H. Bart, and M. Kraume, Systematic Analysis of Single Droplet Coalescence, Chemical Engineering & Technology, vol.77, issue.6, pp.271-279, 2014.
DOI : 10.1002/cjce.5450770603

, Then, the coarse iterative process described in the manuscript has been implemented