Population balances combined with computational fluid dynamics: A modeling approach for dispersive mixing in a high pressure homogenizer

Chemical Engineering Science

Volumn 117, Issue , 2014, Pages 376-388

  Dubbelboer, Arend ^a   Janssen, Jo ^b   Hoogland, Hans ^b   Mudaliar, Ashvin ^b   Maindarkar, Shashank ^c   Zondervan, Edwin ^a   Meuldijk, Jan ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNILEVER RESEARCH VLAARDINGEN   (Netherlands)

^c University of Massachusetts   (United States)

Author keywords

Computational fluid dynamics; Emulsification; High pressure homogenizer; Population balance equations; Turbulence

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; EMULSIFICATION; HYDRODYNAMICS; OILS AND FATS; SIZE DISTRIBUTION; TURBULENCE;

DROPLET SIZE DISTRIBUTIONS; HIGH PRESSURE HOMOGENIZATION; HIGH PRESSURE HOMOGENIZER; HYDRODYNAMIC CONDITIONS; PHARMACEUTICAL INDUSTRY; POPULATION BALANCE EQUATION; POPULATION BALANCE MODELING; TURBULENT DISSIPATION RATES;

DROPS;

EID: 84904545379     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2014.06.047     Document Type: Article

References (55)

1. ANSYS® Fluent, 14.0, Help system, 2011. Ch. 4.13: Near-Wall Treatments for Wall-Bounded Turbulent flows, ANSYS, Inc.
2. Agterof W., Vaessen G., Haagh G., Klahn J., Janssen J. Prediction of emulsion particle sizes using a computational fluid dynamics approach. Colloids Surf. B: Biointerfaces 2003, 31(1-4):141-148.
3. Alexopoulos A., Maggioris D., Kiparissides.C. CFD analysis of turbulence non-homogeneity in mixing vessels a two-compartment model. Chem. Eng. Sci. 2002, 57(10):1735-1752.
4. Almeida-Rivera C., Bongers P. Modelling and experimental validation of emulsification processes in continuous rotor-stator units. Comput. Chem. Eng. 2010, 34(5):592-597.
5. Alopaeus V., Koskinen J., Keskinen K. Simulation of the population balances for liquid-liquid systems in a nonideal stirred tank. Part 1 description and qualitative validation of the model. Chem. Eng. Sci. 1999, 54(24):5887-5899.
6. Andersson R., Andersson B. On the breakup of fluid particles in turbulent flows. AIChE J. 2006, 52(6):2020-2030.
7. Azizi F., Al Taweel A.M. Turbulently flowing liquid-liquid dispersions. Part I: Drop breakage and coalescence. Chem. Eng. J. 2011, 166:715-725.
8. Becker P., Dubbelboer A., Sheibat-Othman N. A coupled population balance cfd framework in openfoam for a high pressure homogenizer. Récents Prog. Génie Procédés 2013, 104:2981-2988.
9. Blonski S., Korczyk P., Kowalewski T. Analysis of turbulence in a micro-channel emulsifier. Int. J. Ther. Sci. 2007, 46(11):1126-1141.
10. Casoli P., Vacca A., Berta G. A numerical procedure for predicting the performance of high pressure homogenizing valves. Simul. Model. Pract. Theory 2010, 18(2):125-138.
11. Chen H.C., Patel V.C. Near-wall turbulence models for complex flows including separation. AIAA J. 1988, 26(6):641-648.
12. Chesters A.K. The modelling of coalescence processes in fluid-liquid dispersions: a review of current understanding. Trans. IChemE 1991, 69(Part A):259-270.
13. Coulaloglou C., Tavlarides L. Description of interaction processes in agitated liquid-liquid dispersions. Chem. Eng. Sci. 1977, 32(11):1289-1297.
14. Davidson P.A. Turbulence: An Introduction for Scientists and Engineers 2006, Oxford University Press, Great Claredon Street, Oxford, (Chapter 4). third ed.
15. Drumm C., Attarakih M., Bart H.J. Coupling of cfd with dpbm for an rdc extractor. Chem. Eng. Sci. 2009, 64(4):721-732.
16. Dubbelboer A., Janssen J., Hoogland H., Mudaliar A., Zondervan E., Bongers P., Meuldijk.J. A modeling approach for dispersive mixing of oil in water emulsions. Comput. Aided Chem. Eng. 2013, 32:841-846.
17. Durbin P.A., Pettersson-Reif B.A. Statistical Theory and Modeling for Turbulent Flows 2001, (Chapter 6), John Wiley And Sons Ltd. First ed.
18. Fathi Roudsari S., Turcotte G., Dhib R., Ein-Mozaffari.F. Cfd modeling of the mixing of water in oil emulsions. Comput. Chem. Eng. 2012, 45:124-136.
19. Floury J., Bellettre J., Legrand J., Desrumaux A. Analysis of a new type of high pressure homogeniser. A study of the flow pattern. Chem. Eng. Sci. 2004, 59(4):843-853.
20. Floury J., Legrand J., Desrumaux A. Analysis of a new type of high pressure homogeniser. Part b. Study of droplet break-up and recoalescence phenomena. Chem. Eng. Sci. 2004, 59(6):1285-1294.
21. Håkansson A., Trägårdh C., Bergenståhl B. Studying the effects of adsorption, recoalescence and fragmentation in a high pressure homogenizer using a dynamic simulation model. Food Hydrocoll. 2009, 23(4):1177-1183.
22. Håkansson A., Fuchs L., Innings F., Revstedt J., Trägårdh C., Bergenståhl B. High resolution experimental measurement of turbulent flow field in a high pressure homogenizer model and its implications on turbulent drop fragmentation. Chem. Eng. Sci. 2011, 66(8):1790-1801.
23. Håkansson A., Fuchs L., Innings F., Revstedt J., Trägårdh C., Bergenståhl B. Experimental validation of k-ε rans-cfd on a highpressure homogenizer valve. Chem. Eng. Sci. 2012, 71:264-273.
24. Håkansson A., Innings F., Trägårdh C., Bergenståhl B. A high pressure homogenization emulsification model-improved emulsifier transport and hydrodynamic coupling. Chem. Eng. Sci. 2013, 91:44-53.
25. Håkansson A., Fuchs L., Innings F., Revstedt J., Trägårdh C., Bergenståhl B. Velocity measurements of turbulent two-phase flow in a high-pressure homogenizer model. Chem. Eng. Commun. 2013, 200(1):93-114.
26. Hill P., Ng K. Statistics of multiple particle breakage. AIChE J. 1996, 42(6):1600-1611.
27. Innings F., Trägårdh C. Analysis of the flow field in a high pressure homogenizer. Exp. Ther. Fluid Sci. 2007, 32(2):345-354.
28. Janssen J.M.H., Meijer H.E.H. Dynamics of liquid-liquid mixing: a 2-zone model. Polym. Eng. Sci. 1995, 35(22):1766-1780.
29. John V., Angelov I., Öncül A., Thévenin D. Techniques for the reconstruction of a distribution from a finite number of its moments. Chem. Eng. Sci. 2007, 62(11):2890-2904.
30. Karbstein H., Schubert H. Developments in the continuous mechanical production of oil-in-water macro-emulsions. Chem. Eng. Process.: Process Intensif. 1995, 34(3):205-211.
31. Kumar S., Ramkrishna D. On the solution of population balance equations by discretization - I. A fixed pivot technique. Chem. Eng. Sci. 1996, 51(8):1311-1332.
32. Levich V.G. Physicochemical Hydrodynamics 1962, Prentice-Hall, Englewood Cliffs.
33. Liao Y., Lucas D. A Literature review of theoretical models for drop and bubble breakup in turbulent dispersions. Chem. Eng. Sci. 2009, 64(15):3389-3406.
34. Liao Y., Lucas D. A Literature review on mechanisms and models for the coalescence process of fluid particles. Chem. Eng. Sci. 2010, 65(10):2851-2864.
35. Luckham Paul F., Ukeje Michael A. Effect of particle size distribution on the rheology of dispersed systems. J. Colloid Interface Sci. 1999, 220:347-356.
36. Luo H., Svendsen H.F. Theoretical model for drop and bubble breakup in turbulent dispersions. AIChE J. 1996, 42(5):1225-1233.
37. MATLAB and Global Optimization Toolbox R, 2013. The MathWorks, Inc., Natick, Massachusetts, United States.
38. Maaß S., Kraume M. Determination of breakage rates using single drop experiments. Chem. Eng. Sci. 2012, 70:146-164.
39. Maindarkar S., Raikar N., Bongers P., Henson M. Incorporating emulsion drop coalescence into population balance equation models of high pressure homogenization. Colloids Surf. A: Physicochem. Eng. Asp. 2012, 396:63-73.
40. Maindarkar S., Bongers P., Henson M. Predicting the effects of surfactant coverage on drop size distributions of homogenized emulsions. Chem. Eng. Sci. 2013, 89:102-114.
41. McClements D.J., Chanamai R. Physicochemical properties of monodisperse oil-in-water emulsions. J. Dispers. Sci. Technol. 2002, 23(1-3):125-134.
42. McClements David Julian, Yan Li Structured emulsion-based delivery systems: controlling the digestion and release of lipophilic food components. Adv. Colloid Interface Sci. 2010, 159:213-228.
43. Phipps L. The fragmentation of oil drops in emulsions by a high pressure homogenizer. J. Phys. D: Appl. Phys. 1975, 8(4):448-462.
44. Raikar N., Bhatia S., Malone M., Henson M. Experimental studies and population balance equation models for breakage prediction of emulsion drop size distributions. Chem. Eng. Sci. 2009, 64(10):2433-2447.
45. Raikar N., Bhatia S., Malone M., McClements D., Almeida-Rivera C., Bongers P., Henson M. Prediction of emulsion drop size distributions with population balance equation models of multiple drop breakage. Colloids Surf. A: Physicochem. Eng. Asp. 2010, 361(1-3):96-108.
46. Raikar N., Bhatia S., Malone M., McClements D., Henson M. Predicting the effect of the homogenization pressure on emulsion drop size distributions. Ind. Eng. Chem. Res. 2011, 50(10):6089-6100.
47. Scheffold F., Cardinaux F., Mason T.G. Linear and nonlinear rheology of dense emulsions across the glass and the jamming regimes. J. Phys.: Condens. Matter 2013, 25:502101. (5 pp.).
48. Schuchmann H., Schubert H. Emulsification in high-pressure homogenizers. Chem. Eng. Technol. 2001, 24(10):151-157.
49. Schultz S., Wagner G., Urban K., Ulrich J. High-pressure homogenization as a process for emulsion formation. Chem. Eng. Technol. 2004, 27(4):361-368.
50. Silva L., Damian R., Lage P. Implementation and analysis of numerical solution of the population balance equation in cfd packages. Comput. Chem. Eng. 2008, 32(12):2933-2945.
51. de Souza L., Janiga G., John V., Thévenin D. Reconstruction of a distribution from a finite number of moments with an adaptive splinebased algorithm. Chem. Eng. Sci. 2010, 65(9):2741-2750.
52. Steiner H., Teppner R., Brenn G., Vankova N., Tcholakova S., Denkov N. Numerical simulation and experimental study of emulsification in a narrow-gap homogenizer. Chem. Eng. Sci. 2006, 61(17):5841-5855.
53. Taisne Laurent, Walstra Pieter, Cabane Bernard Transfer of oil between emulsion droplets. J. Colloid Interface Sci. 1996, 184:378-390.
54. Vankova N., Tcholakova S., Denkov N., Ivanov I., Vulchev V., Danner T. Emulsification in turbulent flow. 1. mean and maximum drop diameters in inertial and viscous regimes. J. Colloid Interface Sci. 2007, 312(2):363-380.
55. Walstra P. Principles of emulsion formation. Chem. Eng. Sci. 1993, 48(2):333-349.