Numerical simulation of coalescence and breakup of rising droplets

Computers and Fluids

Volumn 32, Issue 6, 2003, Pages 823-834

  Watanabe, T ^a   Ebihara, K ^a  

^a JAPAN ATOMIC ENERGY AGENCY   (Japan)

Author keywords

Breakup; Coalescence; Critical Weber number; Droplet; Lattice BGK method

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; DROP BREAKUP; VELOCITY MEASUREMENT;

WEBER NUMBERS;

COALESCENCE;

COALESCENCE; COMPUTER MODELING; DROPLET; GAS-LIQUID TWO-PHASE FLOW;

EID: 0037411254     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(02)00022-1     Document Type: Article

References (29)

1. The RELAP5 Development Team. RELAP5/MOD3 Code Manual. NUREG/CR-5535, 1995.
2. Safety Code Development Group. TRAC-PF1/MOD1: An Advanced Best Estimate Computer Program for Pressurized Water Reactor Thermal-Hydraulic Analysis. NUREG/CR-3858, 1986.
3. Sato T, Jung RT, Abe S. Direct simulation of droplet flow with mass transfer at interface. ASME J Fluids Eng 2000;122:510-6.
4. Farshchi M, Rahimian MH. Unsteady deformation and internal circulation of a liquid drop in a zero gravity uniform flow. J Fluids Eng 1999;121:665-72.
5. Manga M, Stone HA. Buoyancy-driven interactions between two deformable viscous drops. J Fluid Mech 1993;256:647-83.
6. Eggers J. Nonlinear dynamics and breakup of free-surface flows. Rev Modern Phys 1997;69:865-929.
7. Xi H, Duncan C. Lattice Boltzmann simulations of three-dimensional single droplet deformation and breakup under simple shear flow. Phys Rev E 1999;59:3022-6.
8. Li J, Renardy YY, Renardy M. Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Phys Fluids 2000;12:269-82.
9. Renardy YY, Cristini V. E.ect of inertia on drop breakup under shear. Phys Fluids 2001;13:7-13.
10. Schelke M, Frohn A. Three-dimensional lattice Boltzmann simulations of binary collisions between equal droplets. J Aerosol Sci 1995;26(Suppl 1):S145-6.
11. Rieber M, Frohn A. Three-dimensional Navier-Stokes simulation of binary collisions between droplets of equal size. J Aerosol Sci 1995;26(Suppl 1):S929-30.
12. Schelkle M, Rieber M, Frohn A. Comparison of lattice Boltzmann and Navier-Stokes simulations of threedimensional free surface flows. 1996 Fluids Engineering Division Conference Volume 1 ASME 1996;FED-Vol. 236:207-12.
13. Frisch U, Hasslacher B, Pomeau Y. Lattice-gas automata for the Navier-Stokes equation. Phys Rev Lett 1986;56:1505-8.
14. McNamara GG, Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Phys Rev Lett 1988;61:2332-5.
15. Bhatnagar PL, Gross EP, Krook M. A model for collision processes in gases. I: Small amplitude processes in charged and neutral one-component system. Phys Rev 1954;94:511-25.
16. Chen H, Chen S, Matthaeus WH. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Phys Rev A 1992;45:R5339-42.
17. Benzi R, Succi S, Vergassola M. The lattice Boltzmann-equation-theory and applications. Phys Report 1992;222:145-97.
18. Rothman DH, Zaleski S. Lattice-gas models of phase separation: Interfaces, phase transitions, and multiphase flow. Rev Modern Phys 1994;66:1417-79.
19. Chen H, Doolen GD. Lattice Boltzmann method for fluid flows. Ann Rev Fluid Mech 1998;30:329-64.
20. Succi S. The lattice Boltzmann equation for fluid dynamics and beyond. Oxford: Clarendon Press; 2001.
21. Grunau D, Chen S, Eggert K. A lattice Boltzmann model for multiphase fluid flows. Phys Fluids A 1993;5:2557-62.
22. He X, Zhang R, Chen S, Doolen GD. On the three-dimensional Rayleigh-Taylor instability. Phys Fluids 1999;11:1143-52.
23. Hou S, Shan X, Zou Q, Doolen GD, Soll WE. Evaluation of two lattice Boltzmann models for multiphase flows. J Comput Phys 1997;138:695-713.
24. Rothman DH, Keller JM. Immiscible cellular-automaton fluids. J Stat Phys 1988;52:1119-27.
25. Kandhai D, Koponen A, Hoekstra A, Kataja M, Timonen J, Sloot PMA. Implementation aspects of 3D lattice- BGK: Boundaries, accuracy, and a new fast relaxation method. J Comput Phys 1999;150:482-501.
26. Clift R, Grace JR, Weber ME. Bubbles, drops, and particles. New York: Academic Press; 1978.
27. Levich VG. Physicochemical hydrodynamics. New Jersey: Prentice Hall; 1962.
28. Crabtree JR, Bridgwater J. Bubble coalescence in viscous liquids. Chem Eng Sci 1971;26:839-51.
29. Wallis GB. One-dimensional two-phase flow. New York: McGraw-Hill; 1969.