Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model

International Journal for Numerical Methods in Fluids

Volumn 60, Issue 2, 2009, Pages 203-225

  Huang, J J ^a   Shu, C ^a   Chew, Y T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Bifurcation; Contact line; Droplet; Lattice Boltzmann method; Mobility

Indexed keywords

BIFURCATION; CONTACT LINE; DROPLET; LATTICE BOLTZMANN METHOD; MOBILITY;

BIFURCATION (MATHEMATICS); CAPILLARITY; THREE DIMENSIONAL; TWO DIMENSIONAL; TWO PHASE FLOW;

DROP FORMATION;

EID: 67649908850     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1885     Document Type: Article

References (21)

1. Verberg R, Pooley CM, Yeomans JM, Balazs AC. Pattern formation in binary fluids confined between rough, chemically heterogeneous surfaces. Physical Review Letters 2004; 93:184501.
2. Anderson DM, McFadden GB, Wheeler AA. Diffuse-interface methods in fluid mechanics. Annual Review of Fluid Mechanics 1998; 30:139-165.
3. Jacqmin D. Calculation of two-phase Navier-Stokes flows using phase-field modeling. Journal of Computational Physics 1999; 155:96-127.
4. Jacqmin D. Contact-line dynamics of a diffuse fluid interface. Journal of Fluid Mechanics 2000; 402:57-88.
5. Chen H-Y, Jasnow D, Viñals J. Interface and contact line motion in a two phase fluid under shear flow. Physical Review Letters 2000; 85:1686.
6. Kendon VM, Cates ME, Pagonabarraga I, Desplat J-C, Bladon P. Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture - a lattice Boltzmann study. Journal of Fluid Mechanics 2001; 440:147-203.
7. Briant AJ, Yeomans JM. Lattice Boltzmann simulations of contact line motion. II. Binary fluids. Physical Review E 2004; 69:031603.
8. Inamuro T, Ogata T, Tajima S, Konishi N. A lattice Boltzmann method for incompressible two-phase flows with large density differences. Journal of Computational Physics 2004; 198:628-644.
9. Vladimirova N, Mauri R. Mixing of viscous liquid mixtures. Chemical Engineering Science 2004; 59:2065-2069.
10. Lamorgese AG, Mauri R. Mixing of macroscopically quiescent liquid mixtures. Physics of Fluids 2006; 18:044107.
11. Khatavkar VV, Anderson PD, Meijer HEH. On scaling of diffuse-interface models. Chemical Engineering Science 2006; 61:2364-2378.
12. Zheng HW, Shu C, Chew YT. A lattice Boltzmann model for multiphase flows with large density ratio. Journal of Computational Physics 2006; 218:353-371.
13. Swift MR, Orlandini E, Osborn WR, Yeomans JM. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Physical Review E 1996; 54:5041-5052.
14. Yuan P, Schaefer L. Equations of state in a lattice Boltzmann model. Physics of Fluids 2006; 18:042101.
15. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annual Review of Fluid Mechanics 1998; 30:329-364.
16. Briant AJ, Papatzacos P, Yeomans JM. Lattice Boltzmann simulations of contact line motion in a liquid-gas system. Philosophical Transactions of the Royal Society of London, Series A 2002; 360:485-495.
17. Pollack MG, Fair RB, Shenderov AD. Electrowetting-based actuation of liquid droplets for microfluidic applications. Applied Physics Letters 2000; 77:1725-1726.
18. Ichimura K, Oh S-K, Nakagawa M. Light-driven motion of liquids on a photoresponsive surface. Science 2000; 288:1624-1626.
19. Habenicht A, Olapinski M, Burmeister F, Leiderer P, Boneberg J. Jumping nanodroplets. Science 2005; 309: 2043-2045.
20. Ding H, Spelt PDM. Wetting condition in diffuse interface simulations of contact line motion. Physical Review E 2007; 75:046708.
21. Fetzer R, Jacobs K, Munch A, Wagner B, Witelski TP. New slip regimes and the shape of dewetting thin liquid films. Physical Review Letters 2005; 95:127801.