Lattice Boltzmann simulation to study multiple bubble dynamics

International Journal of Heat and Mass Transfer

Volumn 51, Issue 21-22, 2008, Pages 5192-5203

  Gupta, Amit ^a   Kumar, Ranganathan ^a  

^a University of Central Florida   (United States)

Author keywords

Bubble; Coalescence; Lattice Boltzmann; Two phase

Indexed keywords

AERODYNAMICS; COMPUTER SIMULATION; DRAG; DROP FORMATION; FLOW VISUALIZATION; FLUID DYNAMICS; FLUID MECHANICS; LIQUID FILMS; LIQUIDS; MIXED CONVECTION; REYNOLDS NUMBER; THICK FILMS; THIN FILMS; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS; TWO PHASE FLOW; VORTEX FLOW; VORTEX SHEDDING;

BUBBLE; BUBBLE DYNAMICS; LATTICE BOLTZMANN; SINGLE BUBBLE; TWO-PHASE;

COALESCENCE;

EID: 51349087653     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.02.050     Document Type: Article

References (35)

1. Grace J.R. Shapes and velocities of bubbles rising in infinite liquids. Trans. Inst. Chem. Eng. 51 (1973) 116-120
2. Bhaga D., and Weber M.E. Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid Mech. 105 (1981) 61-85
3. Kumar R. Two-phase flow microstructures in thin geometries: Multi-field modeling. In: Faghri M., and Sunden B. (Eds). Heat and Fluid Flow in Microscale and Nanoscale Structures (2004), WIT Press, Boston 173-224
4. Ryskin G., and Leal L.G. Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148 (1984) 19-35
5. Esmaeeli A., and Tryggvason G. Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays. J. Fluid Mech. 377 (1998) 313-345
6. Esmaeeli A., and Tryggvason G. Direct numerical simulations of bubbly flows. Part 2. Moderate Reynolds number arrays. J. Fluid Mech. 385 (1999) 325-358
7. Sankaranarayanan K., Shan X., Kevrekidis I.G., and Sundaresan S. Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method. J. Fluid Mech. 452 (2002) 61-96
8. Frisch U., Hasslacher B., and Pomeau Y. Lattice gas automata for the Navier-Stokes equations. Phys. Rev. Lett. 56 (1986) 1505-1508
9. Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. first ed. (2001), Oxford University Press, Oxford pp. 17-39
10. McNamara G., and Zanetti G. Use of the Boltzmann equation to simulate lattice gas automata. Phys. Rev. Lett. 61 (1988) 2332-2335
11. Noble D.R., Chen S., Georgiadis J.G., and Buckius R.O. A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Phys. Fluids 7 1 (1995) 203-209
12. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Ann. Rev. Fluid Mech. 30 (1998) 329-364
13. Rothman D., and Keller J. Immiscible cellular-automaton fluids. J. Stat. Phys. 52 (1988) 1119-1127
14. Grunau D., Chen S., and Eggert K. A lattice Boltzmann model for multiphase fluid flows. Phys. Fluids A 5 (1993) 2557-2562
15. Shan X., and Chen H. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47 (1993) 1815-1819
16. Hou S., Shan X., Zou Q., Doolen G.D., and Soll W.E. Evaluation of two lattice Boltzmann models for multiphase flows. J. Comput. Phys. 138 (1997) 695-713
17. Yang Z.L., Dinh T.N., Nourgaliev R.R., and Sehgal B.R. Numerical investigation of bubble growth and detachment by the lattice Boltzmann method. Int. J. Heat Mass Transfer 44 (2001) 195-206
18. Lee T., and Fischer P.F. Eliminating parasitic currents in lattice Boltzmann equation method for non-ideal gases. Phys. Rev. E 74 (2006) 046709
19. Swift M., Osborne W., and Yeomans J. Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75 (1995) 830-833
20. Inamuro T., Tajima S., and Ogino F. Lattice Boltzmann simulation of droplet collision dynamics. Int. J. Heat Mass Transfer 47 (2004) 4649-4657
21. Inamuro T., Ogata T., and Ogino F. Numerical simulation of bubble flows by the lattice Boltzmann method. Future Generat. Comput. Syst. 20 (2004) 959-964
22. Lee T., and Lin C.-L. A stable discretization of the lattice Boltzmann equation method for simulation of incompressible two-phase flows at high density ratio. J. Comput. Phys. 206 (2005) 16-47
23. Zheng H.W., Shu C., and Chew Y.T. A lattice Boltzmann model for multiphase flows with large density ratio. J. Comput. Phys. 218 (2006) 353-371
24. Takada M., Misawa M., Tomiyama A., and Hosokawa S. Simulation of bubble motion under gravity by lattice Boltzmann method. J. Nucl. Sci. Technol. 38 5 (2001) 330-341
25. Kurtoglo I.O., and Lin C.L. Lattice Boltzmann simulation of bubble dynamics. Numer. Heat Transfer B 50 (2006) 333-351
26. Buick J.M., and Greated C.A. Gravity in a lattice Boltzmann model. Phys. Rev. E 61 (2000) 5307-5320
27. Chen S., Martinez D., and Mei R. On boundary conditions in the lattice Boltzmann method. Phys. Fluids 8 (1996) 2527-2536
28. Yuan P., and Schaefer L. Equations of state in a lattice Boltzmann model. Phys. Fluids 18 (2006) 042101
29. Shan X. Analysis and reduction of spurious currents in a class of multiphase lattice Boltzmann models. Phys. Rev. E 73 (2006) 047701
30. Tomiyama A. Struggle with computational bubble dynamics. Multiphase Sci. Technol. 10 (1998) 369-405
31. I. Zun, Transition from wall void peaking to core void peaking in turbulent bubbly flow, in: Proceedings of ICHMT Conference on Transport Phenomena in Multiphase Flow, Dubrovnik, Yugoslavia, 1987.
32. Joseph D.D. Rise velocity of a spherical cap bubble. J. Fluid Mech. 488 (2003) 213-223
33. Sankaranarayanan K., and Sundaresan S. Lift force in bubbly suspensions. Chem. Eng. Sci. 57 (2002) 3521-3542
34. Jones Jr. O.C., and Zuber N. The interrelation between void fraction fluctuations and flow patterns in two-phase flow. Int. J. Multiphase Flow 2 (1975) 273-306
35. K. Mishima, T. Hibiki, Flow regime transition criteria for upward two-phase flow in vertical narrow rectangular ducts, in: 3rd International Conference on Multiphase Flow, ICMF98, Lyon, France, 1998.