Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method

Chemical Engineering Science

Volumn 66, Issue 14, 2011, Pages 3441-3451

  Yu, Zhao ^a   Yang, Hui ^a   Fan, Liang Shih ^a  

^a The Ohio State University   (United States)

Author keywords

Adaptive mesh refinement; Bubble dynamics; Bubble interaction; Gas liquid flow; Lattice Boltzmann method; Multiphase flow

Indexed keywords

ADAPTIVE MESH REFINEMENT; BUBBLE DYNAMICS; BUBBLE INTERACTION; GAS LIQUID FLOWS; LATTICE BOLTZMANN METHOD;

ALGORITHMS; BUBBLES (IN FLUIDS); BUOYANCY; COMPUTER SIMULATION; MULTIPHASE FLOW; REYNOLDS NUMBER;

NUMERICAL METHODS;

EID: 79958699225     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.01.019     Document Type: Article

References (32)

1. Bhaga D., Weber M.E. Bubbles in viscous liquids: shapes, wakes, velocities. Journal of Fluid Mechanics 1981, 105:61-85.
2. Bunner B., Tryggvason G. Dynamics of homogeneous bubbly flows Part 1. Rise velocity and microstructure of the bubbles. Journal of Fluid Mechanics 2002, 466:17-52.
3. Bunner B., Tryggvason G. Effect of bubble deformation on the properties of bubbly flows. Journal of Fluid Mechanics 2003, 495:77-118.
4. Cheng M., Hua J., Lou J. Simulation of bubble-bubble interaction using a lattice Boltzmann method. Computers and Fluids 2010, 39:260-270.
5. Chin J., Coveney P.V. Lattice Boltzmann study of spinodal decomposition in two dimensions. Physical Review E 2002, 66:016303.
6. Dupuy P.M., Fernandino M., Jakobsen H.A., Svendsen H.F. Using Cahn-Hilliard mobility to simulate coalescence dynamics. Computers and Mathematics with Applications 2010, 59:2246-2259.
7. Esmaeeli A., Tryggvason G. A DNS study of the buoyant rise of bubbles at O(100) Reynolds numbers. Physics of Fluids 2005, 17:093303.
8. Fan, L.-S., Tsuchiya, K., 1990. Bubble Wake Dynamics in Liquids and Liquid-Solid Suspensions, Butterworth-Heinemann, Boston.
9. Grace J.R. Shapes and velocities of bubbles in rising in infinite liquids. Transactions of the Institution of Chemical Engineers 1973, 51:116-120.
10. Gupta A., Kumar R. Lattice Boltzmann simulation to study multiple bubble dynamics. International Journal of Heat and Mass Transfer 2008, 51:5192-5203.
11. Huang H., Zheng H., Lu X., shu C. An evaluation of a 3D free-energy-based lattice Boltzmann model for multiphase flows with large density ratio. International Journal for Numerical Methods in Fluids 2010, 63:1193-1207.
12. Ilic, M., Wörner, M., Cacuci, D.G., 2007. Evaluation of energy spectra in bubble driven liquid flows form direct numerical simulations. In: ICMF2007, Leipzig, Germany, July 9-13, 2007.
13. Jakobsen H.A., Lindborg H., Dorao C.A. Modeling of bubble column reactors: progress and limitations. Industrial & Engineering Chemistry Research 2005, 44(14):5107-5151.
14. Katz J., Meneveau C. Wake-induced relative motion of bubbles rising in line. International Journal of Multiphase Flow 1996, 22(2):239-258.
15. Krishna R., Urseanu M.I., van Baten J.M., Ellenberger J. Rise velocity of a swarm of large gas bubbles in liquid. Chemical Engineering Science 1999, 54:171-183.
16. Legendre D., Magnaudet J., Mougin G. Hydrodynamic interactions between two spherical bubbles rising side by side in a viscous liquid. Journal of Fluid Mechanics 2003, 497:133-166.
17. Liu M., Yu Z., Wang T., Wang J., Fan L.-S. A modified pseudopotential for a lattice Boltzmann simulation of bubbly flow. Chemical Engineering Science 2010, 65:5615-5623.
18. MacNeice P., Olson K.M., Mobarry C., deFainchtein R., Packer C. PARAMESH: a parallel adaptive mesh refi{ligature}nement community toolkit. Computer Physics Communications 2000, 126:330-354.
19. Martínez-Mercado J., Palacios-Morales C.A., Zenit R. Measurement of pseudoturbulence intensity in monodispersed bubbly liquids for 10
20. Premnath K.N., Abraham J. Three-dimensional multi-relaxation time (MRT) lattice Boltzmann models for multiphase flow. Journal of Computational Physics 2007, 224:539-559.
21. Rabha S.S., Buwa V.V. Volume-of-fluid (VOF) simulations of rise of single/multiple bubbles in sheared liquids. Chemical Engineering Science 2010, 65:527-537.
22. Sanada T., Sato A., Shirota M., Watanabe M. Motion and coalescence of a pair of bubbles rising side by side. Chemical Engineering Science 2009, 64:2659-2671.
23. Sankaranarayanan J., Shan X., Kevrekidis I.G., Sundaresan S. Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method. Journal of Fluid Mechanics 2002, 452:61-96.
24. Shan X.W., Chen H.D. Lattice Boltzmann model for simulating fl{ligature}ows with multiple phase and components. Physical Review E 1993, 47:1815-1819.
25. Simonnet M., Gentric C., Olmos E., Midoux N. Experimental determination of the drag coeffi{ligature}cient in a swarm of bubbles. Chemical Engineering Science 2007, 62:858-866.
26. Stewart C.W. Bubble interaction in low-viscosity liquids. International Journal of Multiphase Flow 1995, 21(6):1037-1046.
27. Theodoropoulos C., Sankaranarayanan K., Sundaresan S., Kevrekidis I.G. Chemical Engineering Science 2004, 59:2357-2362.
28. Tsuchiya K., Ohsaki K., Taguchi K. Large and small bubble interaction patterns in a bubble column. International Journal of Multiphase Flow 1996, 22:121-132.
29. Yu Z., Fan L.-S. Direct simulation of the buoyant rise of bubbles in infinite liquid using level set method. Canadian Journal of Chemical Engineering 2008, 86:267-275.
30. Yu Z., Fan L.-S. An interaction potential based lattice Boltzmann method with adaptive mesh refinement (amr) for two-phase flow simulation. Journal of Computational Physics 2009, 228:6456-6478.
31. Yu Z., Fan L.-S. Multirelaxation-time interaction-potential based lattice Boltzmann model for two-phase flow. Physical Review E 2010, 82:046708.
32. Zenit, Jacques Magnaudet Path instability of rising spheroidal air bubbles: a shape-controlled process. Physics of Fluids 2008, 20:061702.