VDROP: A comprehensive model for droplet formation of oils and gases in liquids - Incorporation of the interfacial tension and droplet viscosity

Chemical Engineering Journal

Volumn 253, Issue , 2014, Pages 93-106

  Zhao, Lin ^a   Torlapati, Jagadish ^a   Boufadel, Michel C ^a   King, Thomas ^b   Robinson, Brian ^b   Lee, Kenneth ^c  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b BEDFORD INSTITUTE OF OCEANOGRAPHY   (Canada)

^c CSIRO   (Australia)

Author keywords

Breaking waves; Dispersant; Droplet size distribution; Oil droplets; Oil fate and transport; Viscous effects

Indexed keywords

BIODEGRADATION; RESIDENCE TIME DISTRIBUTION; SIZE DISTRIBUTION; VISCOSITY; WATER WAVES;

BREAKING WAVES; DISPERSANTS; DROPLET SIZE DISTRIBUTIONS; FATE AND TRANSPORT; OIL DROPLETS; VISCOUS EFFECT;

DROP BREAKUP;

EID: 84901640765     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2014.04.082     Document Type: Article

References (73)

1. Elliott A., Hurford N., Penn C. Shear diffusion and the spreading of oil slicks. Mar. Pollut. Bull. 1986, 17:308-313.
2. Boufadel M.C., Du K., Kaku V.J., Weaver J.W. Lagrangian simulation of oil droplets transport due to regular waves. Environ. Modell. Softw. 2007, 22:978-986.
3. Dean R.G., Dalrymple R.A. Water Wave Mechanics for Engineers and Scientists 1984, Prentice-Hall Inc., New Jersey.
4. C.M. Reddy, J.S. Arey, J.S. Seewald, S.P. Sylva, K.L. Lemkau, R.K. Nelson, C.A. Carmichael, C.P. Mcintyre, J. Fenwick, G.T. Ventura, Composition and fate of gas and oil released to the water column during the Deepwater Horizon oil spill, PNAS, Early Edition (2011) 1-6.
5. Nicol J.P., Wise W.R., Molz F.J., Benefield L.D. Modeling biodegradation of residual petroleum in a saturated porous column. Water Resour. Res 1994, 30:3313-3325.
6. Geng X., Boufadel M.C., Wrenn B. Mathematical modeling of the biodegradation of residual hydrocarbon in a variably-saturated sand column. Biodegradation 2013, 1-11.
7. Hinze J. Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes. AIChE J. 1955, 1:289-295.
8. Kubie J., Gardner G.C. Drop sizes and drop dispersion in straight horizontal tubes and in helical coils. Chem. Eng. Sci. 1977, 32:195-202.
9. Karabelas A.J. Droplet size spectra generated in turbulent pipe flow of dilute liquid/liquid dispersions. AIChE J. 1978, 24:170-180.
10. Hesketh R.P., Russell T.W.F., Etchells A.W. Bubble size in horizontal pipelines. AIChE J. 1987, 33:663-667.
11. Wang C., Calabrese R.V. Drop breakup in turbulent stirred-tank contactors. Part II: Relative influence of viscosity and interfacial tension. AIChE J. 1986, 32:667-676.
12. Johansen Ø., Brandvik P.J., Farooq U. Droplet breakup in subsea oil releases - Part 2: predictions of droplet size distributions with and without injection of chemical dispersants. Mar Pollut Bullet 2013.
13. Mugele R.A., Evans H.D. Droplet size distribution in sprays. Ind. Eng. Chem. 1951, 43:1317-1324.
14. Spicer P.T., Pratsinis S.E. Coagulation and fragmentation: universal steady-state particle-size distribution. AIChE J. 1996, 42:1612-1620.
15. Simmons M.J.H., Azzopardi B.J. Drop size distributions in dispersed liquid-liquid pipe flow. Int. J. Multiph. Flow 2001, 27:843-859.
16. A.H. Lefebvre, Atomization and sprays, CRC PressI Llc, 1989.
17. Azzopardi B.J. Drop sizes in annular two-phase flow. Exp. Fluids 1985, 3:53-59.
18. Oolman T.O., Blanch H.W. Bubble coalescence in air-sparged bioreactors. Biotechnol. Bioeng. 1986, 28:578-584.
19. 2 into NaOH in a bubble column. Chem. Eng. Sci. 1996, 51:1715-1724.
20. Millies M., Mewes D. Interfacial area density in bubbly flow. Chem. Eng. Process. 1999, 38:307-319.
21. Colella D., Vinci D., Bagatin R., Masi M., ABu Bakr E. A study on coalescence and breakage mechanisms in three different bubble columns. Chem. Eng. Sci. 1999, 54:4767-4777.
22. Pohorecki R., Moniuk W., Bielski P., Zdrójkowski A. Modelling of the coalescence/redispersion processes in bubble columns. Chem. Eng. Sci. 2001, 56:6157-6164.
23. Prince M.J., Blanch H.W. Bubble coalescence and break-up in air-sparged bubble columns. AIChE J. 1990, 36:1485-1499.
24. Tsouris C., Tavlarides L. Breakage and coalescence models for drops in turbulent dispersions. AIChE J. 1994, 40:395-406.
25. Bandara U.C., Yapa P.D. Bubble sizes, breakup, and coalescence in deepwater gas/oil plumes. J. Hydraulic Eng. 2011, 137:729-738.
26. Coulaloglou C.A., Tavlarides L.L. Description of interaction processes in agitated liquid-liquid dispersions. Chem. Eng. Sci. 1977, 32:1289-1297.
27. Eley D.D., Hey M.J., Symonds J.D. Emulsions of water in asphaltene-containing oils 1. Droplet size distribution and emulsification rates. Colloids Surf. 1988, 32:87-101.
28. Daling P.S., Mackay D., Mackay N., Brandvik P.J. Droplet size distributions in chemical dispersion of oil spills: towards a mathematical model. Oil Chem. Pollut. 1990, 7:173-198.
29. Li Z., Lee K., King T., Boufadel M.C., Venosa A.D. Assessment of chemical dispersant effectiveness in a wave tank under regular non-breaking and breaking wave conditions. Mar. Pollut. Bull. 2008, 56:903-912.
30. Luo H., Svendsen H.F. Theoretical model for drop and bubble breakup in turbulent dispersions. AIChE J. 1996, 42:1225-1233.
31. Walter J.G., Blanch H.W. Bubble break-up in gas - liquid bioreactors: Break-up in turbulent flows. Chem. Eng. J. 1986, 32:B7-B17.
32. E.H. Kennard, Kinetic Theory of Gases, McGraw-hill, New York, 1938.
33. A.N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds number, Dokl. Akad. Nauk., SSSR 30 (1941) 301-305. Reprinted in 1991: Proc. R. Sco. Lond. A1434, 1999-1913.
34. Azbel D.S. Two Phase Flows in Chemical Engineering 1981, Cambridge University Press.
35. Calabrese R.V., Chang T.P.K., Dang P.T. Drop breakup in turbulent stirred-tank contactors. Part I: Effect of dispersed-phase viscosity. AIChE J. 1986, 32:657-666.
36. Nambiar D.K.R., Kumar R., Das T.R., Gandhi K.S. A new model for the breakage frequency of drops in turbulent stirred dispersions. Chem. Eng. Sci. 1992, 47:2989-3002.
37. H. Tennekes, J.L. Lumley, First Course in Turbulence, MIT Press, 1972.
38. Narsimhan G., Gupta J.P., Ramkrishna D. A model for transitional breakage probability of droplets in agitated lean liquid-liquid dispersions. Chem. Eng. Sci. 1979, 34:257-265.
39. NRC, Oil Spill Dispersants: Efficacy and Effects, National Academic Press, 2005.
40. Taylor G. The formation of emulsions in definable fields of flow. Proc Royal Soc Lond. Series A 1934, 146:501-523.
41. Frisch U., Parisi G. Fully developed turbulence and intermittency, Turbulence and predictability in geophysical fluid dynamics and climate dynamics. International School of Physics "Enrico Fermi", course 1985, 84-88. M. Ghil (Ed.).
42. Frisch U., Sulem P.-L., Nelkin M. A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech. 1978, 87:719-736.
43. Mandelbrot B.B. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J. Fluid Mech. 1974, 62:331-358.
44. Kirkpatrick R., Lockett M. The influence of approach velocity on bubble coalescence. Chem. Eng. Sci. 1974, 29:2363-2373.
45. Cutter L.A. Flow and turbulence in stirred tank. AIChE J. 1966, 12:35-45.
46. Kim W.J., Manning F.S. Trubulence energy and intensity spectra in a baffled stirred vessel. AIChE J. 1964, 10:747-752.
47. Schwartzberg H.G., Treybal R.E. Fluid and particle motion in turbulent stirred tanks. Fluid motion. Ind. Eng. Chem. Fundam. 1968, 7:1-6.
48. Komasawa I., Kuboi R., Otake T. Fluid and particle motion in turbulent dispersion-I: measurement of turbulence of liquid by continual pursuit of tracer particle motion. Chem. Eng. Sci. 1974, 29:641-650.
49. Kresta S., Wood P. The flow field produced by a pitched blade turbine: changes in the circulation pattern due to off bottom clearance. Can. J. Chem. Eng. 1993, 71:42-53.
50. Narsimhan G., Ramkrishna D., Gupta J.P. Analysis of drop size distributions in lean liquid-liquid dispersions. AIChE J. 1980, 26:991-1000.
51. Tobin T., Muralidhar R., Wright H., Ramkrishna D. Determination of coalescence frequencies in liquid-liquid dispersions: effect of drop size dependence. Chem. Eng. Sci. 1990, 45:3491-3504.
52. Podgórska W. Modelling of high viscosity oil drop breakage process in intermittent turbulence. Chem. Eng. Sci. 2006, 61:2986-2993.
53. Fay J.A. The spread of oil slicks on a calm sea. Oil on the Sea 1969, 53-63. Springer Science+Business Media, New York. D.P. Hoult (Ed.).
54. Hoult D.P. Oil spreading on the sea. Annu. Rev. Fluid Mech. 1972, 4:341-368.
55. Delvigne G.A.L., Sweeney C.E. Natural dispersion of oil. Oil Chem. Pollut. 1988, 4:281-310.
56. M.C. Boufadel, E. Wickley-Olsen, T. King, Z. Li, K. Lee, A.D. Venosa, Theoretical foundation for predicting dispersion effectiveness due to waves, in: International Oil Spill Conference, American Petroleum Institute, 2008, pp. 509-513.
57. L. Metcalf, H.P. Eddy, Wastewater Engineering: Collection, Treatment, Disposal, McGraw-Hill Inc., US, 1972.
58. Montgomery J.M. Water Treatment: Principles and Design 1985, John Wiley & Sons, New York.
59. Kaku V.J., Boufadel M.C., Venosa A.D. Evaluation of mixing energy in laboratory flasks used for dispersant effectiveness testing. J. Environ. Eng. 2006, 132:93-101.
60. Kaku V.J., Boufadel M.C., Venosa A.D., Weaver J. Flow dynamics in eccentrically rotating flasks used for dispersant effectiveness testing. Environ. Fluid Mech. 2006, 6:385-406.
61. Rapp R.J., Melville W.K. Laboratory measurements of deep-water breaking waves. Philosophical Trans. Royal Soc. Lond. Series A, Math. Phys. Sci. 1990, A331:735-800.
62. Chen G., Kharif C., Zaleski S., Li J. Two-dimensional Navier-Stokes simulation of breaking waves. Phys. Fluids 1999, 11:121-133.
63. P.J. Brandvik et al., Sub-surface oil releases-experimental study of droplet distributions and different dispersant injection techniques. A scaled experimental approach using the SINTEF Tower basin, SINTEF Mater. Chem. (2013).
64. J.O. Hinze, Turbulence, second ed., McGraw Hill, New York, 1975.
65. Kolmogorov A.N. A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 1962, 13:82-85.
66. Boufadel M.C., Lu S.-L., Molz F.J., Lavallee D. Multifractal scaling of the intrinsic permeability. Water Resour. Res. 2000, 36:3211-3222.
67. Vassilicos J.C. Intermittency in Turbulent Flows 2000, Cambridge University Press, Cambridge, UK.
68. C. Meneveau, K.R. Sreenivasan, The multifractal spectrum of the dissipation field in turbulent flows, Nucl. Phys. B. (Proc. Suppl.) 2 (1987) 49-76.
69. Baldyga J., Podgórska W. Drop break-up in intermittent turbulence: maximum stable and transient sizes of drops. Can. J. Chem. Eng. 1998, 76:456-470.
70. She Z.S., Leveque E. Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 1994, 72:336-339.
71. Chhabra A., Jensen R. Direct determination of the F(α) spectrum. Phys. Rev. Lett. 1989, 62:1327-1330.
72. Baldyga J., Bourne J.R. Interpretation of turbulent mixing using fractals and multifractals. Chem. Eng. Sci. 1995, 50:381-400.
73. L. Zhao, M.C. Boufadel, S.A. Socolofsky, E. Adams, T. King, K. Lee, Evolution of droplets in subsea oil and gas blowouts: development and validation of the numerical model VDROP-J, Mar. Pollut. Bullet., in press, 2014, doi:10.1016/j.marpolbul.2014.04.020.