Multi-fluid CFD analysis of chemical reactors

CISM International Centre for Mechanical Sciences, Courses and Lectures

Volumn 492, Issue , 2007, Pages 125-179

  Hjertager, Bjørn H ^a  

^a Chemical Engineering Laboratory Aalborg   (Denmark)

Author keywords

Bubble column; Bubbly flow; Granular flow; Large eddy simulation; Multiphase flow

Indexed keywords

EID: 84855426285     PISSN: 02541971     EISSN: 23093706     Source Type: Book Series    
DOI: 10.1007/978-3-211-72464-4_4     Document Type: Chapter

References (90)

1. K. Agrawal, P.N. Loezos, M. Syamlal and S.Sundaresan (2001). The role of meso-scale structures in rapid gas-solid flows. Journal of Fluid Mechanics, 445:151-185.
2. A. Albrecht, O. Simonin, D. Earthed and D. Vedrine (2001). Multidimensional numerical simulation of the liquid feed injection in an Industrial FCC Riser, in: M. Kwauk, J. Li, W.-C. Yang (Eds.), Fluidization X. Engineering Foundation 349-356.
3. A. A. Aris, (1962). Introduction to fluid Mechanics. Springer-Verlag. New York.
4. S. Benyahia, A.G. Ortiz and J.I.P. Paredes (2003). Numerical analysis of a reacting gas/solid flow in the riser of an industrial fluid catalytic cracking unit. IntemationalJoumal of Chemical Reactor Engineering, 1 (A.41).
5. G.A. Bokkers, M. van Sint Annaland and J.A.M. Kuipers (2004). Mixing and segregation in a bidisperse gas-solid fluidised bed: a numerical and experimental study. Powder Technology, 140:176-186.
6. S. Bove (2005). Computational fluid dynamics of gas-liquid flows including bubble population balances, PhD thesis, Aalborg University Esbjerg.
7. S. Bove, T. Solberg and B. H. Hjertager (2004). Numerical aspects of bubble column simulations. International Journal of Chemical Reactor Engineering, 2: Al.
8. A. Brucato, M. Ciofalo, F. Grisafi and G. Micale (1994). Complete numerical simulation of flow fields in baffled stirred vessels: the inner-outer approach. IChemE Symposium Series. 136:155-162.
9. P.H. Calderbank (1958). Physical rate processes in industrial fermentation. Part 1. The interfacial area in gas-liquid contacting with mechanical agitation. Transaction of IChemE, 36:443-463.
10. J. Chahed, V. Roig, and L. Masbemat (2003). Eulerian-eulerian two-fluid model for turbulent gas-liquid bubbly flows. International Journal of Multiphase Flow, 29:23-49.
11. S. Chapman and G. Cowling (1970). The mathematical theory of non-uniform gases. 3 ed.. Cambridge University Press.
12. R. Clift, J. R. Grace and M. E. Weber (1978). Bubbles, drops and particles. Academic Press. London.
13. T.L Cook and F.H. Harlow (1986). Vortices in bubbly two-phase flow, International Journal of Multiphase F/ow, 12:35-61.
14. J.W. Deardorff (1971). On the magnitude of the subgrid scale eddy coefficient. Journal of Computaional Physics, 7:120-133.
15. N.G. Deen, T, Solberg and B. H. Hjertager (2001). Large eddy simulations of the gas-liquid flow in a square cross-sectioned bubble column. Chemical Engineering Science, 56:6341-6349.
16. N.G. Deen, T. Solberg and B.H. Hjertager (2003). Flow generated by an aerated rushton impeller: two-phase PIV experiments and numerical simulations. The Canadian Journal of Chemical Engineering, 80(4):638-652.
17. J. Derksen and H.E.A. van den Akker (1999). Large eddy simulations on the flow driven by a Rushton turbine. AIChE Journal 45:209-221.
18. J. Ding and D. Gidaspow (1990). A Bubbling fluidization model using kinetic theory of granular flow. AIChE Journal, 36:523-538.
19. D.A. Drew, (1983). Mathematical modeling of two-phase flow. Annual Review of Fluid Mechanics, 15:261-291.
20. D.A. Drew and S.L. Passman (1999). Theory of multicomponentfluids. Springer-Verlag. New York.
21. H. Enwald, E. Peirano and A.-E. Almstedt (1996) Eulerian two-fluid flow theory applied to fluidization. InternationalJournal of Multiphase Flow, 22 (l):21-66.
22. S.O. Enfors, S. George and G. Larson (1992). KTH, Private communications
23. S. Ergun, (1952). Fluid flow through packed bed columns. Chemical Engineering Progress, 48 (2), 89-98.
24. J. Gao, C. Xu, S. Lin, G. Yang and Y. Guo (1999). Advanced model for turbulent gas-solid flow and reaction in FCC riser reactors. AIChE Journal, 45 (5):1095-1113.
25. D. Geldart, ed. (1986). Gas fluidization technology, J. Wiley, Chichester.
26. L.G. Gibilaro, R. di Felice and S.P. Waldram (1985). Generalized friction factor coefficient correlations for fluid-particle interactions. Chemical Engineering Science, 40 (10): 1817-1823.
27. D. Gidaspow (1994). Multiphase flow and fluidization, Academic Press, London.
28. D. Gidaspow, L. Huilin, E. Manger (1996). Kinetic theory of multiphase flow and fluidization. Validation and extension to binaries, In: Proceedings of XlXth Inemational Congress of theoretical and applied mechanics.
29. C. Guenther, T. O'Brien and M. Syamlal (2001). A numerical model of silane pyrolysis in a gas-solids fluidized bed. Proceedings of the International Conference on Multiphase Flow 2001, New Orleans.
30. K.G. Hansen, C.H. Ibsen, T. Solberg and B.H. Hjertager (2003). Eulerian/Eulerian CFD simulation of a cold flowing FCC riser. International Journal of Chemical Reactor Engineering, 1: A31.
31. K.G. Hansen, T. Solberg and B. H. Hjertager (2004). A three-dimensional simulation of gas/particle flow and ozone decomposition the riser of a circulating fluidized bed. Chemical Engineering Sci-ence,59(22-23):52ll-5224.
32. T. Hibiki, and M. Ishii (2002). Distribution parameter and drift velocity of drift-flux model in bubbly flow. International Journal of Heat and Mass Transfer, 45:707-721.
33. B.H. Hjertager (1986). Three-dimensional modeling of flow, heat transfer and combustion, in: Handbook of Heat and Mass Transfer, Gulf Publishing, Houston, 1303-1350
34. C.H. Ibsen, T. Solberg and B.H. Hjertager (2001). Evaluation of a three-dimensional numerical model of a scaled circulating fluidized bed. Industrial & Engineering Chemistry Research, 40 (23):5081-5086.
35. M Ishii (1975) Thermo fluid dynamic theory of two-phase flow. Eyrolles, Paris.
36. M. Ishii and N. Zuber (2002). Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE Journal, 45:707-721.
37. I. Kataoka and A. Serizawa (1989). Basic equations of turbulence in gas-liquid two-phase flow. International Journal of Multiphase Flow, 15(5):843-855.
38. S.M. Kresta and P.E. Wood (1991). Prediction of the three-dimensional turbulent flow in stirred tanks. AIChE Journal, 37:44S-A60.
39. H.A. Jakobsen (1993). On the modelling and simulation of bubble column reactors using a two-fluid Model, Dr. ing. Thesis, Norwegian Institute of Technology, Trondheim, Norway.
40. J.T. Jenkins and F. Mancini (1987). Balance laws and constitutive relations for plane flows of a dense mixture of smooth, nearly elastic, circular disks. Journal of Applied Mechanics, 54:27-34.
41. J.T. Jenkins and S. B. Savage (1983) A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. Journal of Fluid Mechanics, 130:187-202.
42. M. Jenne and M. Reuss (1999). A critical assessment of the use of ^-e turbulence models for simulation of the turbulent liquid flow induced by a Rushton-turbine in baffled stirred-tank reactors. Chemical Engineering Science, 54:3921-3941.
43. S.T. Johansen and F. Boysan (1988). Fluid dynamics in bubble stirred ladles. Part II. Mathematical modeling. Metallurgical Transactions B, 193:755-764.
44. D.D. Joseph, T. S. Lundgren, R. Jackson and D. A. Saville (1990). Ensemble average and mixture theory quations for incompressible fluid-particle suspension. International Journal of Multiphase Flow, 16(l):35-42.
45. D.L. Koch and R. Hill (2001). Inertial effects in suspension and porous-media flows. Annual Review of Fluid Mechanics, 619-647.
46. R.T. Lahey, M. Lopez de Bertodano and O.C. Jones (1993). Phase distribution in complex geometry ducts, Nuclear Engineering Design, 141:177-701.
47. A. Lapin, C. Maul, K. Junghans and A. Lubbert (2001). Industrial-scale bubble column reactors: gas-liquid flow and chemical reaction. Chemical Engineering Science, 56:239-246.
48. M. Lopez de Bertodano (1998). Two fluid model for two-phase turbulent jets. Nuclear Engineering and Design, 179:65-74.
49. M. Lopez de Bertodano, R. T. Lahey and O. C. Jones (1994). Development of a k-8 model for bubbly two-phase flow. Journal of Fluids Engineering, 116:128-134.
50. J.Y. Luo, A.D. Gosman, R.I. Issa, J.C. Middleton and M.K. Fitzgerald (1993). Full flow field computation of mixing in baffled stirred vessels. Transactions oflChemE 71 A:342-344.
51. J.Y. Luo, R.I. Issa, and A.D. Gosman (1994). Prediction of impeller induced flows in mixing vessels using multiple frames of reference. IChemE Symposium Series, 136:549-556.
52. C.K.K. Lun, S. B. Savage, D. J. Jeffrey andN. Chepumiy (1984). Kinetic theories for granular flow: inelastic particles in couette flow and slightly inelastic particles in a general flow field. Journal of Fluid Mechanics, 140:223-256.
53. E. Manger (1996). Modelling and simulation of gas/solids flow in curvilinear coordinates, PhD thesis, Telemark Institute of Technology, 1996:64
54. M. Manninen, and V. Taivassalo (1996). On the mixture model for multiphase flow. VTT publications, 288.
55. V. Mathiesen, T. Solberg, E. Manger and B.H. Hjertager (1996). Modelling and predictions of multiphase flow in a pilot scale circulating fluidized bed, 5th International conference on circulating fluidized beds. May 28-31, Beijing, China.
56. V. Mathiesen, T. Solberg and B. H. Hjertager (2000a). An experimental and computational study of multiphase flow behavior in a circulating fluidized bed. International Journal of Multiphase flow, 26:387^19.
57. V. Mathiesen, T. Solberg and B.H. Hjertager (2000b). Prediction of gas/particle flow with an Eulerian model including a realistic particle size distribution. Powder Technology, 112:34-45.
58. D. Migdal and V.D. Agosta (1967). A source flow model for continuum gas-particle flow. Applied Mechanics, Vol. 35, pp 860-865.
59. M. Milelli (2002). A numerical analysis of confined turbulent bubble plumes. PhD thesis, dissertation eth n. 14799, Swiss Federal Institute of Technology (ETH).
60. F.J. Moraga, A.E. Larreteguy, D.A. Drew and R.T. Lahey (2003). Assessment of turbulent dispersion models for bubbly flows in the low stokes number limit. Int. Journal of Multiphase Flow, 29:655-673.
61. B.D. Nichols, C.W. Hirt and RS. Hotshkiss (1980). A solution algorithm for transient fluid flow with multiple free boundaries, LASL Report LA-8355.
62. M.S. Nigam (2003). Numerical simulation of buoyant mixture flows. International Journal, of Multiphase F/ow, 29:983-1015.
63. R.I. Nigmatulin (1979). Spatial averaging in the mechanics of heterogeneous and dispersed systems. International Journal of Multiphase Flow, 5:353-385.
64. S. Ouyang, J. Lin and O.E. Potter (1993). Ozone decomposition in a 0.254 m diameter circulating fluidized bedrQSLCtOY. Powder Technology, 15:73-7S.
65. S.V. Patankar (1980). Numerical heat transfer and fluid flow, McGraw-Hill.
66. S.V. Patankar and Spalding D.B. (1972). A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer, 15:1787-1800.
67. V.V. Ranade (1997). An efficient computational model for simulating flow in stirred vessels: a case of Rushton turbine. Chemical Engineering Science, 52:4473-4484.
68. V.V. Ranade, Y. Tayalia and H. Krishnan (2002). CFD predictions of flow near impeller blades in baffled stirred vessels: assessment of computational snapshot approach. Chemical Engineering Communications 189(7):895-922.
69. V.V. Ranade and J.B. Joshi (1990a). Flow generated by a disc turbine, part I.-experimental. Chemical Engineering Research Design, 68A: 19-33.
70. V.V. Ranade and J.B. Joshi (1990). Flow generated by a disc turbine, part II.-mathematical modelling and comparison with experimental data. Chemical Engineering Research Design, 68A:34—50.
71. J. Revstedt, L. Fuchs and C. Tragardh (1998). Large eddy simulations of the turbulent flow in a stirred reactor. Chemical Engineering Science, 53:4041-053.
72. P.N. Rowe (1961). Drag forces in a hydraulic model of a fluidized bed, part ii. Transaction of IChemE, 39:175-180.
73. Y. Sato and K. Sekoguchi (1975). Liquid velocity distribution in two-phase bubble flow. International Journal of Multiphase Flow. 2:79-95.
74. D.B. Spalding (1977). The calculation of free-convection phenomena in gas-liquid mixtures, ICHMT seminar 1976, in: Turbulent Bouyant Convection, Hemisphere, 569-586
75. D.B. Spalding (1980). Numerical computation of multi-phase fluid flow and heat transfer, in Recent Advances in Numerical Methods in Fluids, Pineridge Press, 139-168.
76. D.B. Spalding (1985). Computer simulation of two-phase flows with special reference to nuclear reactor systems, in Computational Techniques in Heat Transfer, Ed.: R. W. Lewis, K. Morgan, J.A. Johnson,W. R. Smith, Pineridge Press, 1-44.
77. A. Samuelsberg and B.H. Hjertager (1995). Simulation of two-phase gas/particle flow and ozone decomposition in a 0.25 I.D. riser. In: Advances in Multiphase Flow, 679-688.
78. A. Samuelsberg and B.H. Hjertager (1996). Computational fluid dynamic simulation of an oxy-chlorination reaction in a full-scale fluidized bed reactor, 5th International conference on circulating fluidized beds. May 28-31, Beijing, China.
79. J. Smagorinsky (1963). General circulation experiments with the primitive equations: I. the basic equations. Monthly Weather Review, 91:99-164.
80. M. Syamlal and T.J. O'Brien (1988). Simulation of granular layer inversion in liquid fluidized beds. International Journal of Multiphase Flow, 14 (4):473-481.
81. M. Syamlal and T. O'Brien (2003). Fluid dynamic simulation of O3 decomposition in a bubbling fluidized bed. AIChE Journal, 49 (11):2793-2801.
82. A. Sokolichin and G. Eigenberger (1999). Applicability of the standard k-8 turbulence model to the dynamic simulation of bubble columns: Part i. detailed numerical simulations. Chemical Engineering Science, 54:2273-2284.
83. A. Sokolichin, G. Eigenberger and A. Lapin (2004). Simulation of buoyancy driven bubbly flow: established simplification and open questions. Fluid Mechanics and Transport Phenomena, 50(l):24-45.
84. K.N. Theologos, I.D. Nikou, A.I. Lygeros and N.C. Markatos (1996). Simulation and design of fluid-catalytic cracking riser-type reactors. Computers and Chemical Engineering, 20(supple-ment):S757-S763.
85. A. Tomiyama (2004). Drag, lift and virtual mass forces acting on a single bubble. In: 3rd International Symposium on Two-Phase Flow Modelling and Experimentation, 22-24 September 2004, Pisa, Italy.
86. A. Tomiyama, G. P. Celata, S. Hosokawa and S. Yoshida (2002). Terminal velocity of single bubbles in surface tension force dominant regime. International Journal of Multiphase Flow, 28:1497-1519.
87. C. Tragardh (1988). A hydrodynamic model for the simulation of an aerated agitated fed-batch fermenter, in Bioreactor Fluid Dynamics, Elsevier Applied Science Publ., 117-134.
88. E.I. V. van den Hengel, N. G. Deen, and J. A. M. Kuipers (2005). Application of coalescence and breakup models in a discrete bubble model for bubble columns, Industrial Engineering Chemistry Research, 44(14):5233-5245.
89. M.A. van der Hoef, M. Van Sint Annaland and J. A.M. Kuipers (2004). Computational fluid dynamics for dense gas-solid fluidized beds: a multi-scale modeling strategy, Chemical Engineering Science, 59(22-23):5157-5165.
90. C.Y. Wen and Y.H. Yu (1966). Mechanics of fluidization. Chemical Engineering Progress Symposium Series, 62:100-111