Theoretical prediction of flow regime transition in bubble columns by the population balance model

Chemical Engineering Science

Volumn 60, Issue 22, 2005, Pages 6199-6209

  Wang, Tiefeng ^a   Wang, Jinfu ^a   Jin, Yong ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Breakup; Bubble column; Bubble size distribution; Coalescence; Population balance model (PBM); Regime transition

Indexed keywords

BUBBLE COLUMNS; COALESCENCE; COMPUTER SIMULATION; MATHEMATICAL MODELS; TURBULENCE;

BUBBLE SIZE DISTRIBUTION; FLOW REGIME TRANSITION; POPULATION BALANCE MODEL (PBM); TURBULENT EDDIES;

FLUID DYNAMICS;

BUBBLE COLUMN; BUBBLE SIZE DISTRIBUTION; COALESCENCE;

EID: 22744455164     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2005.04.027     Document Type: Conference Paper

References (37)

1. A. Bilicki, and J. Kestin Transition criteria for two-phase flow patterns in vertical upward flow International Journal of Multiphase Flow 13 1987 283 294
2. P.M. Carrica, and A.A. Clausse Mathematical description of the critical heat flux as nonlinear dynamic instability G. Gouesbet A. Berlemont Instabilities in Multiphase Flow 1993 Plenum Press New York
3. A.K. Chesters Modelling of coalescence processes in fluid-liquid dispersions: a review of current understanding Transactions of the Institution of Chemical Engineers 69(A) 1991 259 270
4. W.D. Deckwer, R. Bruckhhurt, and G. Zoll Mixing and mass transfer in tall bubble columns Chemical Engineering Science 29 1974 2177 2188
5. J.W.A. De Swart, R.E. Van Vliet, and R. Krishna Size, structure and dynamics of "large" bubbles in a 2-D slurry bubble column Chemical Engineering Science 51 1996 4619 4629
6. J. Drahoš, J. Zahradník, M. Puncochar, M. Fialova, and F. Bradka Effect of operating conditions of the characteristics of pressure fluctuations in a bubble column Chemical Engineering and Processing 29 2 1991 107 115
7. L.S. Fan, and K. Tsuchiya Bubble Wake Dynamics in Liquids and Liquid-Solid Suspensions 1990 Butterworth-Heinemann Stoneham, MA
8. X.Y. Fu, and M. Ishii Two-group interfacial area transport in vertical air-water flow I. Mechanistic model Nuclear Engineering and Design 219 2 2002 143 168
9. T. Hibiki, and M. Ishii Two-group interfacial area transport equations at bubbly-to-slug transition Nuclear Engineering and Design 202 1 2000 39 76
10. M. Ishii, and N. Zuber Drag coefficient and relative velocity in bubbly, droplet or particulate flows A.I.Ch.E. Journal 25 1979 843 855
11. R. Krishna, and J. Ellenberger Gas holdup in bubble column reactors operating in the churn-turbulent flow regime A.I.Ch.E. Journal 42 1996 2627 2634
12. R. Krishna, M.I. Urseanu, J.M. van Baten, and J. Ellenberger Influence of scale on the hydrodynamics of bubble columns operating in the churn-turbulent: experiments vs. Eulerian simulations Chemical Engineering Science 54 1999 4903 4911
13. S. Kumar, and D. Ramkrishna On the solution of population balance equation by discretization - I. A fixed pivot technique Chemical Engineering Science 51 8 1996 1311 1332
14. C.H. Lee, L.E. Erickson, and L.A. Glasgow Bubble break-up and coalescence in turbulent gas-liquid dispersions Chemical Engineering Communications 59 1987 65 84
15. F. Lehr, M. Millies, and D. Mewes Bubble size distributions and flow fields in bubble columns A.I.Ch.E. Journal 48 11 2002 2426 2443
16. H.M. Letzel, J.C. Schouten, R. Krishna, and C.M. van den Bleek Characterization of regimes and regime transitions in bubble columns by chaos analysis of pressure signals Chemical Engineering Science 52 1997 4447 4459
17. V.G. Levich Physicochemical Hydrodynamics 1962 Prentice-Hall Englewood Cliffs, NJ
18. M. Lopez de Bertodano, R.T. Lahey, and O.C. Jones Development of a k- ε model for bubbly two phase flow Journal of Fluids Engineering, Transactions of the ASME 116 1 1994 128 134
19. H. Luo, and H.F. Svendsen Theoretical Model for drop and bubble breakup in turbulent dispersions A.I.Ch.E. Journal 42 5 1996 1225 1233
20. H. Luo, and H.F. Svendsen Modeling and simulation of binary approach by energy conservation analysis Chemical Engineering Communications 145 1996 145 153
21. E. Maucci, C.L. Briens, R.J. Martinuzzi, and G. Wild Detection and characterization of piston flow regime in three-phase fluidized beds Powder Technology 103 1999 243 259
22. M.R. Maxey, and J.J. Riley Equation of motion for a small rigid particle in a non-uniform flow Physics of Fluids 26 1983 883 889
23. M.J. Prince, and H.W. Blanch Bubble coalescence and break-up in air-sparged bubble columns A.I.Ch.E. Journal 36 10 1990 1485 1499
24. D. Ramkrishna Population Balances 2000 Academic Press San Diego
25. J. Sanyal, S. Vásquez, S. Roy, and M.P. Dudukovic Numerical simulation of gas-liquid dynamics in cylindrical bubble column reactors Chemical Engineering Science 54 1999 5071 5083
26. A. Sarrafi, M. Jamialahmadi, H. Müller-Steinhagn, and J.M. Smith Gas holdup in homogeneous and heterogeneous gas-liquid bubble column reactors Canadian Journal of Chemical Engineering 77 1999 11 21
27. H. Schlichting Boundary-Layer Theory 1979 McGraw-Hill New York
28. K. Tsuchiya, T. Miyahara, and L.S. Fan Visualization of bubble-wake interactions for a stream of bubble in a two-dimensional liquid solid fluidized bed International Journal of Multiphase Flow 15 1989 35 49
29. Ch. Vial, S. Poncina, G. Wild, and N. Midoux Experimental and theoretical analysis of the hydrodynamics in the riser of an external loop airlift reactor Chemical Engineering Science 57 2002 4745 4762
30. T.F. Wang, J.F. Wang, and Y. Jin Novel theoretical breakup kernel function of bubbles/droplets in a turbulent flow Chemical Engineering Science 58 2003 4629 4637
31. T.F. Wang, J.F. Wang, and Y. Jin An efficient numerical algorithm for 'A novel theoretical breakup kernel function of bubble/droplet in a turbulent flow' Chemical Engineering Science 59 2004 2593 2595
32. T.F. Wang, J.F. Wang, and Y. Jin Experimental study and CFD simulation of hydrodynamic behaviors in an external loop airlift slurry reactor Canadian Journal of Chemical Engineering 82 2004 1183 1190
33. Q. Wu, S. Kim, and M. Ishii One-group interfacial area transport in vertical bubbly flow International Journal of Heat and Mass Transfer 41 1998 1103 1112
34. D.H. Ying, E.N. Givens, and R.F. Weimer Gas holdup in gas-liquid and gas-liquid-solid flow reactors Industrial and Engineering Chemistry, Process Design and Development 19 1980 635 638
35. J. Zahradník, and M. Fialová The effect of bubbling regime on gas and liquid phase mixing in bubble column reactors Chemical Engineering Science 51 10 1996 2491 2500
36. J.P. Zhang, J.R. Grace, N. Epstein, and K.S. Lim Flow regime identification in gas-liquid flow and three-phase fluidized beds Chemical Engineering Science 52 21/22 1997 3979 3992
37. N. Zuber, and J.A. Findlay Average volumetric concentration in two-phase flow systems Journal of Heat Transfer 87 1965 453 468