Development of One-Group and Two-Group Interfacial Area Transport Equation

Nuclear Science and Engineering

Volumn 146, Issue 3, 2004, Pages 257-273

  Ishii, M ^a   Kim, S ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); DATABASE SYSTEMS; ELECTRIC CONDUCTIVITY; HYDRAULICS; NUCLEAR ENERGY; PROBLEM SOLVING; SHEAR STRESS; TURBULENCE; TURBULENT FLOW;

INTERFACIAL STRUCTURES; THERMAL-HYDRAULIC SYSTEMS;

TWO PHASE FLOW;

EID: 1642587207     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE01-69     Document Type: Article

References (29)

1. M. ISHII, Thermo-Fluid Dynamic Theory of Two-Phase Flow, Collection de la Direction des Études et Recherches d'Électricité de France, Eyrolles, Paris (1975).
2. M. ISHII and K. MISHIMA, "Two-Fluid Model and Hydrodynamic Constitutive Relations," Nucl. Eng. Des., 82, 107 (1984).
3. G. KOCAMUSTAFAOGULLARI and M. ISHII, "Foundation of the Interfacial Area Transport Equation and Its Closure Relations," Int. J. Heat Mass Transfer, 38, 3, 481 (1995).
4. J. N. REYES, Jr., "Statistically Derived Conservation Equations for Fluid Particle Flows," 5th Proc. Nuclear Thermal Hydraulics, San Francisco, California, November 26-30, p. 12, American Nuclear Society (1989).
5. Q. WU, S. KIM, M. ISHII, and S. G. BEUS, "One-Group Interfacial Area Transport in Vertical Bubbly Flow," Int. J. Heat Mass Transfer, 41, 8-9, 1103 (1998).
6. M. MILLIES, D. A. DREW, and R. T. LAHEY, Jr., "A First Relaxation Model for the Prediction of the Local Interfacial Area Density in Two-Phase Flows, Int. J. Multiphase Flow, 22, 6, 1073 (1996).
7. C. MOREL, N. GOREAUD, and J. M. DELHAYE, "The Local Volumetric Interfacial Area Transport Equation: Derivation and Physical Significance, " Int. J. Multiphase Flow, 25, 1099 (1999).
8. S. KIM, "Interfacial Area Transport Equation and Measurement of Local Interfacial Characteristics," PhD Thesis, School of Nuclear Engineering, Purdue University (Nov. 1999).
9. M. ISHII, S. KIM, and J. UHLE, "Interfacial Area Transport: Data and Models," Workshop Advanced Thermal-Hydraulics and Neutronics Codes: Current and Future Applications, Barcelona, Spain, April 10-13, 2000, Organization for Economic Cooperation and Development/Committee on the Safety of Nuclear Installations (2000).
10. X. SUN, S. KIM, M. ISHII, and S. G. BEUS, "Development of Two-Group Interfacial Transport Equation for Confined Flow - I: Modeling of Bubble Interactions, Proc. 11th Int. Conf. Nuclear Engineering (ICONE-11), Tokyo, Japan, April 20-23 (2003).
11. M. ISHII and N. ZUBER, "Drag Coefficient and Relative Velocity in Bubbly, Droplet or Particulate Flows, AIChE J., 25, 843 (1979).
12. E. H. KENNARD, Kinetic Theory of Gases, McGraw-Hill Book Company, New York (1938).
13. C. A. COULALOGLOU and L. L. TAVLARIDES, "Description of Interaction Process in Agitated Liquid-Liquid Dispersions," Chem. Eng. Sci., 32, 1289 (1977).
14. M. J. PRINCE and H. W. BLANCH, "Bubble Coalescence and Break-Up in Air-Sparged Bubble Columns," AIChE J., 36, 10, 1485 (1990).
15. J. R. CRABTREE and J. DRIDGWATER, "Bubble Coalescence in Viscous Liquids," Chem. Eng. Sci., 26, 839 (1971).
16. N. DE NEVERS and J. L. WU, "Bubble Coalescence in Viscous Fluids, AIChE J., 17, 182 (1971).
17. T. OTAKE, S. TONE, K. NAKAO, and Y. MITSUHASHI, "Coalescence and Breakup of Bubbles in Liquid," Chem. Eng. Sci., 32, 377 (1977).
18. J. F. WALTER and H. W. BLANCH, "Bubble Break-Up in Gas-Liquid Bio-Reactors: Break-Up in Turbulent Flows," Chem. Eng. J., 32, B7-B17 (1986).
19. M. LANCE and J. BATTAILLE, "Turbulence in the Liquid Phase of a Uniform Bubbly Air-Water Flow," J. Fluid Mech, 222, 95 (1991).
20. C. W. STEWART, "Bubble Interaction in Low-Viscosity Liquids," Int. J. Multiphase Flow, 21, 6, 1037 (1995).
21. P. P. WAGNER and J. Y. PARLANGE, "Spherical Cap Bubbles," Ann. Rev. Fluid Mech., 5, 79 (1973).
22. J. G. HNAT and J. D. BUCKMASTER, "Spherical Cap Bubbles and Skirt Formation," Phys. Fluids, 19, 2, 182 (1976).
23. R. COLLINS, F. F. DE MORASE, J. F. DAVIDSON, and D. HARRISON, "The Motion of a Large Gas Bubble Rising Through Liquid Flowing in a Tube," J. Fluid Mech., 89, Part 3, 497 (1978).
24. R. CLIFT, J. R. GRACE, and M. E. WEBER, Bubbles, Drops, and Particles, Academic Press, New York (1978).
25. G. KOCAMUSTAFAOGULLARI, M. ISHII, and I. Y. CHEN, "Unified Theory for Predicting Maximum Fluid Particle Size for Drops and Bubbles," NUREG/CR-4028, Argonne National Laboratory (1984).
26. J. W. MILLER, M. ISHII, and S. T. REVANKAR, "An Experimental Analysis of Larger Spherical Cap Bubbles Rising in an Extended Liquid," PU-NE-93-5, Purdue University (1993).
27. S. K. FRIENDLANDER, Smoke, Dust and Haze, John Wiley & Sons, New York (1977).
28. Y. T. SHAH and W. D. DECKWER, Hydrodynamics of Bubble Columns, Handbook of Fluids in Motion, p. 583, Ann Arbor Science Publisher, Ann Arbor, Michigan (1983).
29. M. ISHII and S. KIM, "Micro Four-Sensor Probe Measurement of Interfacial Area Transport for Bubbly Flow in Round Pipes," Nucl. Eng. Des., 205, 123 (2001).