Lattice Boltzmann simulation of the rise and dissolution of two-dimensional immiscible droplets

Physics of Fluids

Volumn 21, Issue 10, 2009, Pages

  Chen, Cheng ^a   Zhang, Dongxiao ^a  

^a University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISSOLUTION; SOLUTE TRANSPORT;

DISSOLUTION PROCESS; DROPLET TRAJECTORIES; EMPIRICAL CORRELATIONS; IMMISCIBLE LIQUIDS; INCREASING FUNCTIONS; LATTICE BOLTZMANN MODELS; LATTICE BOLTZMANN SIMULATIONS; POWER LAW RELATIONSHIP;

DROP FORMATION;

EID: 71049171176     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3253385     Document Type: Article

References (28)

1. X. Xu, S. Chen, and D. Zhang, "Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers," Adv. Water Resour. AWREDI0309-1708 29, 397 (2006). 10.1016/ j.advwatres.2005.05.008
2. S. Rapaka, S. Chen, R. Pawar, P. Stauffer, and D. Zhang, "Nonmodal growth of perturbations in density-driven convection in porous media," J. Fluid Mech. JFLSA70022-1120 609, 285 (2008). 10.1017/ S0022112008002607
3. D. W. Moore, "The rise of a gas bubble in a viscous liquid," J. Fluid Mech. JFLSA70022-1120 6, 113 (1959). 10.1017/S0022112059000520
4. T. D. Taylor and A. Acrivos, "On the deformation and drag of a falling viscous drop at low Reynolds number," J. Fluid Mech. JFLSA70022-1120 18, 466 (1964). 10.1017/S0022112064000349
5. J. G. Hnat and J. D. Buckmaster, "Spherical cap bubbles and skirt formation," Phys. Fluids PHFLE61070-6631 19, 182 (1976). 10.1063/ 1.861445
6. X. Frank, D. Funfschilling, N. Midoux, and H. Z. Li, "Bubbles in a viscous liquid: Lattice Boltzmann simulation and experimental validation," J. Fluid Mech. JFLSA70022-1120 546, 113 (2005). 10.1017/S0022112005007135
7. S. E. Kentish, G. W. Stevens, and H. R. C. Pratt, "Measurement of drop rise velocities within a Kühni extraction column," Ind. Eng. Chem. Res. IECRED0888-5885 36, 4928 (1997). 10.1021/ie9702690
8. M. R. Snyder, O. M. Knio, J. Katz, and O. P. Le Maître, "Numerical study on the motion of microscopic oil droplets in high intensity isotropic turbulence," Phys. Fluids PHFLE61070-6631 20, 073301 (2008). 10.1063/1.2946445
9. D. Rodrigue, "Generalized correlation for bubble motion," AIChE J. AICEAC0001-1541 47, 39 (2001). 10.1002/aic.690470106
10. S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flows," Annu. Rev. Fluid Mech. ARVFA30066-4189 30, 329 (1998). 10.1146/annurev.fluid.30.1.329
11. D. Zhang, R. Zhang, S. Chen, and W. E. Soll, "Pore scale study of flow in porous media: Scale dependency, REV, and statistical REV," Geophys. Res. Lett. GPRLAJ0094-8276 27, 1195, doi:10.1029/1999GL011101 (2000). 10.1029/1999GL011101
12. C. Chen, A. I. Packman, and J. F. Gaillard, "Pore-scale analysis of permeability reduction resulting from colloid deposition," Geophys. Res. Lett. GPRLAJ0094-8276 35, L07404, doi:10.1029/2007GL033077 (2008). 10.1029/2007GL033077
13. X. Shan and H. Chen, "Lattice Boltzmann model for simulation flows with multiple phases and components," Phys. Rev. E PLEEE81063-651X 47, 1815 (1993). 10.1103/PhysRevE.47.1815
14. X. Shan and H. Chen, "Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation," Phys. Rev. E PLEEE81063-651X 49, 2941 (1994). 10.1103/PhysRevE.49.2941
15. Q. Kang, D. Zhang, and S. Chen, "Displacement of a two-dimensional immiscible droplet in a channel," Phys. Fluids PHFLE61070-6631 14, 3203 (2002). 10.1063/1.1499125
16. C. Pan, M. Hilpert, and C. T. Miller, "Lattice-Boltzmann simulation of two-phase flow in porous media," Water Resour. Res. WRERAQ0043-1397 40, W01501, doi:10.1029/2003WR002120 (2004). 10.1029/ 2003WR002120
17. M. G. Schaap, M. L. Porter, B. S. B. Christensen, and D. Wildenschild, "Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations," Water Resour. Res. WRERAQ0043-1397 43, W12S06, doi:10.1029/2006WR005730 (2007). 10.1029/2006WR005730
18. N. Takada, M. Misawa, A. Tomiyama, and S. Hosokawa, "Simulation of bubble motion under gravity by lattice Boltzmann method," J. Nucl. Sci. Technol. JNSTAX0022-3131 38, 330 (2001). 10.3327/jnst.38.330
19. Q. Kang, D. Zhang, S. Chen, and X. He, "Lattice Boltzmann simulations of chemical dissolution in porous media," Phys. Rev. E PLEEE81063-651X 65, 036318 (2002). 10.1103/PhysRevE.65.036318
20. Q. Kang, D. Zhang, and S. Chen, "Simulation of dissolution and precipitation in porous media," J. Geophys. Res. JGREA20148-0227 108, 2505, doi:10.1029/2003JB002504 (2003). 10.1029/2003JB002504
21. T. Sato, R. T. Jung, and S. Abe, "Direct simulation of droplet flow with mass transfer at interface," J. Fluids Eng. JFEGA40098-2202 122, 510 (2000). 10.1115/1.1287504
22. S. Ponce Dawson, S. Chen, and G. D. Doolen, "Lattice Boltzmann computations for reaction-diffusion equations," J. Chem. Phys. JCPSA60021-9606 98, 1514 (1993). 10.1063/1.464316
23. C. Chen, B. L. T. Lau, J. Gaillard, and A. I. Packman, "Temporal evolution of pore geometry, fluid flow, and solute transport resulting from colloid deposition," Water Resour. Res. WRERAQ0043-1397 45, W06416, doi:10.1029/2008WR007252 (2009). 10.1029/2008WR007252
24. H. Uchida. editor, JSME Data Book: The Thermophysical Properties of Fluids (JSME, Tokyo, 1982).
25. I. Aya, Direct Ocean Disposal of Carbon Dioxide, edited by N. Handa and T. Ohsumi (TERRAPUB, Tokyo, 1995), pp. 233-238.
26. F. Takemura and A. Yabe, "Rising speed and dissolution rate of a carbon dioxide bubble in slightly contaminated water," J. Fluid Mech. JFLSA70022-1120 378, 319 (1999). 10.1017/S0022112098003358
27. K. Sankaranarayanan, X. Shany, I. G. Kevrekidis, and S. Sundaresan, "Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method," J. Fluid Mech. JFLSA70022-1120 452, 61 (2002). 10.1017/S0022112001006619
28. X. Zhang and M. Lv, "Persistence of anomalous dispersion in uniform porous media demonstrated by pore-scale simulations," Water Resour. Res. WRERAQ0043-1397 43, W07437, doi:10.1029/2006WR005557 (2007). 10.1029/2006WR005557