[1] SUN T, LI W Z, YANG B C, et al. Three-dimensional numerical simulation of multiple bubbles rising and interaction with lattice Boltzmann method[J]. CIESC Journal, 2013, 64(5):1586-1591. [2] DARMANA D, DEEN N G, KUIPERS J A M. Detailed modeling of hydrodynamics, mass transfer and chemical reactions in a bubble column using a discrete bubble model[J]. Chemical Engineering Science, 2005, 60(12):3383-3404. [3] BHAGA D, WEBER M E. Bubbles in viscous liquids:Shapes, wakes and velocities[J]. Journal of Fluid Mechanics, 1981, 105(1):61-85. [4] HNAT J G, BUCKMASTER J D. Spherical cap bubbles and skirt formation[J]. Physics of Fluids, 1976, 19:182. [5] HABERMAN W L, MORTON R K. An experimental study of bubbles moving in liquids[J]. Transaction of the American Society of Civil Engineers, 1956, 121(1):227-250. [6] ROTHMAN D H, KELLER J M. Immiscible cellular-automaton fluids[J]. Journal of Statistical Physics, 1988, 52(3):1119-1127. [7] GNNSTENSEN A K, ROTHMAN D H, ZALESKI S. Lattice Boltzmann model of immiscible fluids[J]. Physical Review A, 1991, 43(8):4320-4327. [8] SHAN X, CHEN H. Lattice Boltzmann model for simulating flows with multiple phases and components[J]. Physical Review E, 1993, 47(3):1815. [9] HE X, CHEN S, ZHANG R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability[J]. Journal of Computational Physics, 1999, 152(2):642-663. [10] SWIFT M R, OSBORN W R, YEOMANS J M. Lattice Boltzmann simulation of nonideal fluids[J]. Physical Review Letters, 1995, 75(5):830-833. [11] GUPTA A, KUMAR R. Lattice Boltzmann simulation to study multiple bubble dynamics[J]. International Journal of Heat and Mass Transfer, 2008, 51(21/22):5192-5203. [12] CHENG M, HUA J, LOU J. Simulation of bubble-bubble interaction using a lattice Boltzmann method[J]. Computers & Fluids, 2010, 39(2):260-270. [13] YU Z, YANG H, FAN L S. Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method[J]. Chemical Engineering Science, 2011, 66(14):3441-3451. [14] YANG Z L, DINH T N, NOURGALIEV R R, et al. Numerical investigation of bubble growth and detachment by the lattice-Boltzmann method[J]. International Journal of Heat and Mass Transfer, 2001, 44(1):195-206. [15] HAZI G, MARKUS A. On the bubble departure diameter and release frequency based on numerical simulation results[J]. International Journal of Heat and Mass Transfer, 2009, 52(5/6):1472-1480. [16] GONG S, CHENG P. A lattice Boltzmann method for simulation of liquid-vapor phase-change heat transfer[J]. International Journal of Heat and Mass Transfer, 2012, 55(S17/18):4923-4927. [17] GONG S, CHENG P. Lattice Boltzmann simulation of periodic bubble nucleation, growth and departure from a heated surface in pool boiling[J]. International Journal of Heat and Mass Transfer, 2013, 64:122-132. [18] DONG Z Q, LI W Z, SONG Y C. Lattice Boltzmann simulation of growth and deformation for a rising vapor bubble through superheated liquid[J]. Numerical Heat Transfer, Part A:Applications, 2009, 55(4):381-400. [19] ZHENG H W, SHU C, CHEW Y T. A lattice Boltzmann model for multiphase flows with large density ratio[J]. Journal of Computational Physics, 2006, 218(1):353-371. [20] INAMURO T, YOSHINO M, INOUE H, et al. A lattice Boltzmann method for a binary miscible fluid mixture and its application to a heat-transfer problem[J]. Journal of Computational Physics, 2002, 179(1):201-215. [21] SUN T, LI W Z. Three-dimensional numerical simulation of nucleate boiling bubble by lattice Boltzmann method[J]. Computers & Fluids, 2013, 88:400-409. |