Experimental study on the number density distribution function in turbulent bubbly flows with coalescence and break-up

Experimental Thermal and Fluid Science

Volumn 27, Issue 7, 2003, Pages 803-816

  Gnotke, O ^a   Benk, H ^a   Loth, R ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Break up; Bubble size distribution; Coalescence; Fibre optical probe; Gas liquid flow; Interfacial area concentration; Population balance equation; Turbulence; X hotfilm probe

Indexed keywords

COALESCENCE; PIPE; SUPERCRITICAL FLUIDS; SURFACE CHEMISTRY; TURBULENT FLOW;

BUBBLY FLOWS;

BUBBLES (IN FLUIDS);

BUBBLY FLOW; COALESCENCE; DENSITY; GAS-LIQUID TWO-PHASE FLOW; TURBULENCE;

EID: 0043206140     PISSN: 08941777     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0894-1777(03)00002-5     Document Type: Article

References (30)

1. Ishii M. Mishima K. Two-fluid model and hydrodynamic constitutive relations Nucl. Eng. Design 82 1984 107-126
2. Akita K. Yoshida F. Bubble size, interfacial area and liquid-phase mass tranfer coefficient in bubble columns Ind. Eng. Chem., Process Des. Develop. 13-1 1974 84-91
3. R.T. Lahey Jr., D.A. Drew, An Analysis of two-phase flow and heat transfer using a multidimensional, multi-field, two fluid computational fluid dynamics model, in: Japan/US Seminar on Two-Phase Flow Dynamics, Santa Barbara, California, 5-8 June 2000
4. Wang S.K. Lee S.J. Lahey R.T.Jr. Jones O.C. 3-D Turbulence structure and phase distribution measurements in bubbly two-phase flows Int. J. Multiphase Flow 13 3 1987 327-343
5. Lance M. Bataille J. Turbulence in the liquid phase of a uniform bubbly air-water flow J. Fluid Mech. 222 1991 95-118
6. Herringe R.A. Davis M.R. Structural development of gas-liquid mixture flows J. Fluid Mech. 73 1 1976 97-123
7. Liu T.J. Bubble size and entrance length effects on void development in a vertical channel Int. J. Multiphase Flow 19 1 1993 99-113
8. Kocamustafaogullari G. Ishii M. Foundation of the interfacial area transport equation and its closure relations Int. J. Heat Mass Transfer 38 3 1995 481-493
9. Wu Q. Kim S. Ishii M. Beus S.G. One-group interfacial are transport in vertical bubbly flow Int. J. Heat Mass Transfer 41 8-9 1998 1103-1112
10. Lehr F. Mewes D. A transport equation for the interfacial area density applied to bubble columns Chem. Eng. Sci. 56 2001 1159-1166
11. Hibiki T. Ishii M. Experimental study on interfacial area transport in bubbly two-phase flows Int. J. Heat Mass Transfer 42 1999 2711-2726
12. Kataoka I. Serizawa A. Interfacial area concentration in bubbly flow Nucl. Eng. Design 120 1999 163-180
13. Millies M. Mewes D. Interfacial area density in bubbly flow Chem. Eng. Process. 38 1999 307-319
14. Kolev N.I. Fragmentation and coalescence dynamics in multiphase flows Exp. Therm. Fluid Sci. 6 1993 211-251
15. G. Drogaris, Koaleszenz von Gasblasen in wässrigen Lösungen, Ph.D. Thesis, Universität Dortmund, Germany, 1982.
16. Prince M.J. Blanch H.W. Bubble coalescence and break-up in air-sparged bubble-columns AIChE J. 36 1990 1485-1499
17. Hesketh R.P. Etchells A.W. Russel T.W.F. Bubble breakage in pipeline flow Chem. Eng. Sci. 46 1 1990 1-9
18. Luo H. Svendsen H.F. Theoretical model for drop and bubble breakup in turbulent dispersions AIChE J. 42 5 1996
19. Kalkach-Navarro S. Lahey R.T.Jr. Meyder R. Interfacial area density, mean radius and number density measurements in bubbly two-phase flow Nucl. Eng. Design 142 1993 341-351
20. Randolph A.D. A Population Balance for Countable Entities 1964 American Potash and Chemical Corporation
21. Rinne A. Loth R. Development of local two-phase flow for vertical bubbly flow in a pipe with sudden expansion Int. J. Exp. Therm. Fluid Sci. 13 1996 152-166
22. Clark N.N. Liu W. Turton R. Data interpretation techniques for inferring bubble size distribution from probe signals in fluidized systems Powder Technol. 88 1996 179-188
23. Liu W. Clark N.N. Karamavruc A.I. General method for the transformation of chord-length data to a local bubble-size distribution AIChE J. 42 10 1996 2713-2720
24. Lee S. Soria A. Lasa H. Evolution of bubble length distribution in three phase fluidized beds AICHE J. 40 1990 1763
25. M. Samstag, 1996, Experimentelle Untersuchungen von Transportvorgängen in vertikalen turbulenten Luft Wasser-Blasenströmungen, Institut für Reaktorsicherheit, Forschungszentrum Karlsruhe, Technik und Umwelt, Wissenschaftliche Berichte, 1996
26. H. Benk, R. Loth, Investigations of the interactions between the dispersed and continuous phase in air/water two-phase flow with grid turbulence, in: 3rd European Thermal Sciences Conference, 2000, Heidelberg, Germany, pp. 977-983
27. Hinze J.O. Turbulence 1975 McGraw-Hill New York
28. H. Benk, Zum Turbulenzeinfluss auf die Phasenwechselwirkungen im Ausbildungsbereich vertikaler Gas/Flüssigkeits-Zweiphasenströmungen, Ph.D. Thesis, Technical Universität Darmstadt, 2001
29. A. Rinne, Experimentelle und numerische Bestimmung lokaler Größen adiabater vertikaler Flüsigkeits-Gas-Zweiphasenströmungen in einem Rohr mit plötzlicher Querschnittserweiterung, Ph.D. Thesis, Technology Universität Darmstadt, 1997
30. I.N. Bronstein, Taschenbuch der Mathematik, Unver. Nachdr. der 5. Aufl. - Frankfurt am Main [u.a.], Deutsch, 2001