CFD modeling of the mixing of water in oil emulsions

Computers and Chemical Engineering

Volumn 45, Issue , 2012, Pages 124-136

  Fathi Roudsari, Shideh ^a   Turcotte, Ginette ^a   Dhib, Ramdhane ^a   Ein Mozaffari, Farhad ^a  

^a RYERSON UNIVERSITY   (Canada)

Author keywords

Computational fluid dynamics; Droplet size distribution; Emulsion; Mixing; Population balance

Indexed keywords

CFD MODELING; CFD MODELS; CUMULATIVE PROBABILITIES; DISCRETE METHOD; DISPERSED PHASE; DROPLET SIZE DISTRIBUTIONS; EULERIAN-EULERIAN APPROACH; IMPELLER ROTATION; IMPELLER SPEED; MIXING TANKS; MULTIPLE-REFERENCE FRAMES; NUMBER DENSITY; POPULATION BALANCE APPROACH; POPULATION BALANCES; RUSHTON TURBINE IMPELLERS; WATER DROPLETS; WATER IN OIL EMULSIONS;

COALESCENCE; COMPUTATIONAL FLUID DYNAMICS; DROPS; EMULSIFICATION; EMULSIONS; IMPELLERS; MULTIPHASE FLOW; SIZE DISTRIBUTION; STRUCTURAL FRAMES; TANKS (CONTAINERS); WATER DISTRIBUTION SYSTEMS;

MIXING;

EID: 84863522667     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2012.06.013     Document Type: Article

References (80)

1. Agterof W.G.M., Vaessen G.E.J., Haagh G.A.A.V., Klahn J.K., Janssen J.J.M. Prediction of emulsion particles sizes using a computational fluid dynamics approach. Colloids and Surfaces B: Biointerfaces 2003, 31:141-148.
2. Aichele C.P., Chapman W.G., Rhyne L.D., Subramani H.J., House W.V. Analysis of formation of water-in-oil emulsions. Energy & Fuels 2009, 23(7):3674-3680.
3. Alvarez J., Alvarez J., Hernandez M. A population approach for the description of particle size distribution in suspension polymerization reactors. Chemical Engineering Science 1994, 49(1):99-113.
4. ANSYS FLUENT 12.0 Theory guide 2009, April, ANSYS, Inc.
5. Baldyga J., Podgórska W. Drop break-up in intermittent turbulence: Maximum stable and transient sizes of drops. The Canadian Journal of Chemical Engineering 1998, 76(3):456-470.
6. Bayraktar E., Mierka O., Platte F., Kuzmin D., Turek S. Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics. Computers and Chemical Engineering 2011, 35:2204-2217.
7. Bird R.B., Stewart W.E., Lightfoot E.N. Transport phenomena 2007, John Wiley & Sons, USA.
8. Blazek J. Computational fluid dynamics: Principles and applications 2005, Elsevier Inc., Amsterdam. 2nd ed.
9. Boxall J.A., Koh C.A., Sloan E.D., Sum A.K., Wu D.T. Measurement and calibration of droplet size distribution in water-in-oil emulsions by particle video microscope and a focused beam reflectance method. Industrial & Engineering Chemistry Research 2010, 49:1412-1418.
10. Brucato A., Ciofalo M., Crisfi F., Micale G. Numerical prediction of flow fields in baffled stirred vessels: A comparison of alternative modeling approaches. Chemical Engineering Science 1998, 53:3653-3684.
11. Coulaloglou C.A., Tavlarides L.L. Description of interaction processes in agitated liquid-liquid dispersions. Chemical Engineering Science 1977, 32:1289-1297.
12. Deen N.G., Solberg T., Hjertager B.H. Flow generated by an aerated Rushton impeller: Two-phase PIV experiments and numerical simulations. Canadian Journal of Chemical Engineering 2002, 80:1-15.
13. Drew D.A., Lahey R.T. In particulate two phase flow 1993, Butterworth-Heinemann, Boston.
14. Elghobashi S. Particle-laden turbulent flows: Direct simulation and closure models. Applied Scientific Research 1991, 48(3-4):301-314.
15. Fox R.O. Optimal moment sets for multivariate direct quadrature method of moments. Industrial and Engineering Chemistry Research 2009, 48(21):9686-9696.
16. Hagesaether L., Jakobsen H.A., Svendsen H.F. A model for turbulent binary breakup of dispersed fluid particles. Chemical Engineering Science 2002, 57:3251-3267.
17. Harvey A.D., Rogers S.E. Steady and unsteady computation of impeller stirred reactors. AICHE Journal 1996, 42:2701-2712.
18. Hayworth C.B., Treybal R.E. Drop formation in two-liquid-phase systems. Industrial and Engineering Chemistry 1950, 42(6):1174-1181.
19. Heath A.R., Koh P.T.L. Combined population balance and CFD modeling of particle and aggregation by polymeric flocculant. Third International Conference on CFD in the Minerals and Process Industries CSIRO 2003, 339-344.
20. Henkes R.A.W.M., van der Flugt F.F., Hoogendoorn C.J. Natural convection flow in a square cavity calculated with low-Reynolds-number turbulence models. International Journal of Heat and Mass Transfer 1991, 34:1543-1557.
21. Hill P.J., Ng K.M. New discretization procedure for the breakage equation. AIChE Journal 1995, 41(5):1204-1216.
22. Hoffmann K.A., Chiang S.T. Computational fluid dynamics: Volume III 2000, Engineering Education System, USA.
23. Hounslow M.J., Ryall R.L., Marshall V.R. A discretized population balance for nucleation, growth, and aggregation. AIChE Journal 1988, 34(11):1821-1832.
24. Ishii M., Zuber N. Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE Journal 1979, 25(5):843-855.
25. Kerdouss F., Bannari A., Proulx P., Bannari R., Skrga M., Labrecque Y. Two-phase mass transfer coefficient prediction in stirred vessel with a CFD model. Computers and Chemical Engineering 2008, 32:1943-1955.
26. Kostoglou M., Dovas S., Karabelas A.J. On the steady-state size distribution of dispersions in breakage processes. Chemical Engineering Science 1997, 52(8):1285-1299.
27. Kumar S., Ramkrishna D. On the solution of population balance equations by discretization-I. A fixed pivot technique. Chemical Engineering Science 1996, 51(8):1311-1332.
28. Laakkonen M., Moilanen P., Alopaeus V., Aittamaa J. Modelling local bubble size distributions in agitated vessels. Chemical Engineering Science 2007, 62(3):721-740.
29. Launder B.E. Second-moment closure and its use in modeling turbulent industrial flows. International Journal for Numerical Methods in Fluids 1989, 9:963-985.
30. Launder B.E., Spalding D.B. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering 1974, 3(2):269-289.
31. Lehr, F. (2001). Berechnen von Blasengrößenverteilungen und Strömungsfeldern in Blasensäulen (Ph.D. thesis). University of Hannover, Germany.
32. Lepercq-Bost E., Giorgi M., Isambert A., Arnaud C. Use of the capillary number for the prediction of droplet size in membrane emulsification. Journal of Membrane Science 2008, 314:76-89.
33. Litster J.D., Smit D.J., Hounslow M.J. Adjustable discretization population balance for growth and aggregation. AIChE Journal 1995, 41(3):591-603.
34. Loth E. Quasi-steady shape and drag of deformable bubbles and drops. International Journal of Multiphase Flow 2008, 34:523-546.
35. Luo, H. (1993). Coalescence, break up and liquid circulation in bubble column reactors (Ph.D. thesis). Norwegian Institute of Technology, Trondheim, Norway.
36. Luo H., Svendsen H.F. Theoretical model for drop and bubble breakup in turbulent dispersions. AIChE Journal 1996, 42(5):1225-1233.
37. Luo J.Y., Gosman A.D., Issa R.I., Middleton J.C., Fitzgerald M.K. Full flow field computation of mixing in baffled stirred vessels. Chemical Engineering Research and Design 1993, 71(A3):342-344.
38. Luo J.Y., Issa R.I., Gosman A.D. Prediction of impeller induced flows in mixing vessels using multiple frames of reference. IChemE Symposium Series 1994, 136:549-556.
39. Maggioris D., Goulas A., Alexopoulos A.H., Chatzi E.G., Kiparissides C. Use of CFD in prediction of particle size distribution in suspension polymer reactors. European Symposium on Computer Aided Process Engineering-8 1998, S315-S322. (Vol. 22 (S1)).
40. Maggioris D., Goulas A., Alexopoulos A.H., Chatzi E.G., Kiparissides C. Prediction of particle size distribution in suspension polymerization reactors: Effect of turbulence nonhomogeneity. Chemical Engineering Science 2000, 55(20):4611-4627.
41. Marchisio D.L., Pikturna J.T., Fox R.O., Vigil R.D., Barresi A.A. Quadrature method of moments for population-balance equations. AIChE Journal 2003, 49(5):1266-1276.
42. Martínez-Bazán C., Montanes J.L., Lasheras J.C. On the breakup of an air bubble injected into a fully developed turbulent flow: Part 1: Break up frequency. Journal of Fluid Mechanics 1999, 401:157-182.
43. Milton J.S., Arnold J.C. Introduction to probability and statistics 1995, McGraw-Hill College, New York.
44. MoŠtěk M., Kukukova A., Jahoda M., Machoň V. Comparison of different techniques for modelling of flow field and homogenization in stirred vessels. Chemical Papers 2005, 59(6a):380-385.
45. Narsimhan G., Gupta J.P., Ramkrishna D. A model for translational breakage probability of droplets in agitated lean liquid-liquid dispersions. Chemical Engineering Science 1979, 34(8):257-265.
46. Neumann H.J., Paczynska-Lahme B. Petroleum emulsions, micro-emulsions and micellar solutions. Progress in Colloids & Polymer Science 1988, 77:123-126.
47. Ohtake T., Hano T., Takagi K. Effects of viscosity on drop diameter of W/O emulsion dispersed in a stirred tank. Journal of Chemical Engineering of Japan 1987, 20(5):443-447.
48. Ohtake T., Hano T., Takagi K. Analysis of water entrainment into dispersed W/O emulsion drops. Journal of Chemical Engineering of Japan 1988, 21(3):272-276.
49. Ok T., Ookawara S., Yoshikawa S., Ogawa K. Drop size distribution in liquid-liquid mixing. Journal of Chemical Engineering of Japan 2003, 36(8):940-945.
50. Pakzad L., Ein-Mozaffari F., Chan P. Using electrical resistance tomography and computational fluid dynamics modeling to study the formation of cavern in the mixing of pseudoplastic fluids possessing yield stress. Chemical Engineering Science 2008, 63:2508-2522.
51. Patanakar S.V., Spalding D.B. A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass transfer 1972, 15(10):1787-1806.
52. Patel H., Dhib R., Ein-Mozaffari F. Computational fluid dynamics study of a styrene polymerization reactor. Chemical Engineering Technology 2010, 33(2):258-266.
53. Patel H., Ein-Mozaffari F., Dhib R. CFD analysis of mixing in thermal polymerization of styrene. Computers and Chemical Engineering 2010, 34:421-429.
54. Patruno L.E., Dorao C.A., Svendsen H.F., Jakobsen H.A. Analysis of breakage kernels for population balance modelling. Chemical Engineering Science 2009, 64(3):501-508.
55. Qamar S., Warnecke G. Solving population balance equations for two-component aggregation by a finite volume scheme. Chemical Engineering Science 2007, 62:679-693.
56. Raikar N.B., Bhatia S.R., Malone M.F., Henson M.A. Experimental studies and population balance equation models for breakage prediction of emulsion drop size distributions. Chemical Engineering Science 2009, 64(10):2433-2447.
57. Ramkrishna D. Population balances: Theory and applications to particulate systems in engineering 2000, Academic Press, San Diego.
58. Ranade V.V. Computational flow modeling for chemical reactor engineering 2002, Academic Press, India.
59. Randolph A.D., Larson M.A. Theory of particulate processes: Analysis and techniques of continuous crystallization 1971, Academic Press, New York.
60. Ruiz M.C., Lermanda P., Padilla R. Drop size distribution in a batch mixer under breakage conditions. Hydrometallurgy 2002, 63:65-74.
61. Sathyagal A.N., Ramkrishna D., Narsimhan G. Droplet breakage in stirred dispersions. Breakage functions from experimental drop-size distributions. Chemical Engineering Science 1996, 51(9):1377-1391.
62. Schiller L., Naumann Z. Uber die grundlegenden Berechnungen bei der Schwekraftaubereitung. Zeitschrift des vereins deutscher ingenieure 1933, 77(12):318-320.
63. Schütz S., Gorbach G., Piesche M. Modeling fluid behavior and droplet interactions during liquid-liquid separation in hydrocyclones. Chemical Engineering Science 2009, 64:3935-3952.
64. Selma B., Bannari R., Proulx P. Simulation of bubbly flows: Comparison between direct quadrature method of moments (DQMOM) and method of classes (CM). Chemical Engineering Science 2010, 65:1925-1941.
65. Shinnar R. On the behaviour of liquid dispersions in mixing vessels. Journal of Fluid Mechanics 1961, 10:259-275.
66. Shinnar R., Church J.M. Statistical theories of turbulence in predicting particle size in agitated dispersions. Industrial & Engineering Chemistry Research 1960, 52:253-256.
67. Silva L.F.L.R., Damian R.B., Lage P.L.C. Implementation and analysis of numerical solution of the population balance equation in CFD packages. Computers and Chemical Engineering 2008, 32(12):2933-2945.
68. Silva L.F.L.R., Rodrigues R.C., Mitre J.F., Lage P.L.C. Comparison of the accuracy and performance of quadrature-based methods for population balance problems with simultaneous breakage and aggregation. Computers and Chemical Engineering 2010, 34:286-297.
69. Silva L.F.L.R., Lage P.L.C. Development and implementation of a polydispersed multiphase flow model in OpenFOAM. Computers and Chemical Engineering 2011, 35:2653-2666.
70. Sjoblom J. Encyclopaedic handbook of emulsion technology 2001, Marcel Dekker, USA.
71. Srilatha C., Morab V.V., Mundada T.P., Patwardhan A.W. Relation between hydrodynamics and drop size distributions in pump-mix mixer. Chemical Engineering Science 2010, 65(11):3409-3426.
72. Stamatoudis M., Tavlarides L.L. The effect of continuous-phase viscosity on the unsteady state behavior of liquid-liquid agitated dispersions. The Chemical Engineering Journal 2007, 35:137-143.
73. Takahashi K., Takeuchi H. Interfacial area of liquid-liquid dispersion in a mixer-settler extraction column. Solvent Extraction 1990 1992, 1357-1362. Elsevier, Kyoto, Japan.
74. Vankova N., Tcholakova S., Denkov N.D., Ivanov I.B., Vulchev V.D., Danner T. Emulsification in turbulent flow. 1. Mean and maximum drop diameters in inertial and viscous regimes. Journal of Colloid and Interface Science 2007, 312:363-380.
75. Vladisavljević G.T., Kobayashi I., Nakajima M. Effect of dispersed phase viscosity on maximum droplet generation frequency in micro channel emulsification using asymmetric straight-through channels. Microfluid Nanofluid 2011, 10:1199-1209.
76. Walstra P. Encyclopedia of emulsion technology 1983, Dekker, New York.
77. Walstra P. Fundamentals of interface and colloid science: Soft colloids 2005, Academic Press, New York.
78. Wang T., Wang J., Jin Y. Population balance model for gas-liquid flows: Influence of bubble coalescence and breakup models. Industrial and Engineering Chemistry Research 2005, 44(19):7540-7549.
79. Yarin L.P., Hetsroni G. Turbulence intensity in dilute two-phase fows-3: The particles-turbulence interaction in dilute two-phase flow. International Journal of Multiphase Flow 1994, 20(1):27-44.
80. Zucca A., Marchisio D.L., Barresi A.A., Fox R.O. Implementation of the population balance equation in CFD codes for modelling soot formation in turbulent flames. Chemical Engineering Science 2006, 61:87-95.