Experiments on gravitational phase separation of binary immiscible fluids

Journal of Fluid Mechanics

Volumn 591, Issue , 2007, Pages 289-319

  Sato, Misuzu ^a   Sumita, Ikuro ^a  

^a KANAZAWA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MIXTURES; POLYMER BLENDS; POROSITY; VISCOSITY;

HOMOGENEOUS MIXTURES; IMMISCIBLE FLUIDS; OIL-WATER MIXTURE; SEPARATION PROCESS; SMALL VISCOSITY RATIOS; VERTICAL GRADIENTS; VISUAL OBSERVATIONS; VOLUMETRIC FRACTIONS;

PHASE SEPARATION;

COALESCENCE; ELECTRICAL RESISTIVITY; GRAVITY; IMMISCIBLE FLUID; MODELING; POROSITY; SEPARATION; VISCOSITY;

EID: 49149112471     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008257     Document Type: Article

References (46)

1. BAZHLEKOV, I. B., CHESTERS, A. K. & VAN DE VOSSE, F. N. 2000 The effect of the dispersed to continuous-phase viscosity ratio on film drainage between interacting drops. Intl J. Multiphase Flow 26 445-466.
2. BEAR, J. 1972 Dynamics of Fluids in Porous Media. Elsevier.
3. BOTTINGA, Y. & WEILL, D. F. 1972 The viscosity of magmatic silicate liquids: A model for calculation. Am. J. Sci. 272, 438-475.
4. BRADY, J. F. & BOSSIS, G. 1988 Stokesian dynamics. Annu. Rev. Fluid Mech. 20, 111-157.
5. BRAY, A. J. 2003 Coarsening dynamics of phase-separating systems. Phil. Trans. R. Soc. Lond., A 361, 781-792.
6. CAU, F. & LACELLE, S. 1993 Late-stage phase separation and sedimentation in a binary liquid mixture. Phys. Rev. E 47, 1429-1432.
7. CHESTERS, A. K. 1991 The modelling of coalescence processes in fluid-liquid dispersions: A review of current understanding. Trans. Inst. Chem Engrs 69, 259-270.
8. COLOMBANI, J. & BERT, J. 2004 Early sedimentation and crossover kinetics in an off-critical phase-separating liquid mixture. Phys. Rev. E 69, 011402.
9. DAVIS, R. H. & ACRIVOS, A. 1985 Sedimentation of noncolloidal particles at low Reynolds numbers. Annu. Rev. Fluid Mech. 17 91-118.
10. DAVIS, R. H., SCHONBERG, J. A. & RALLISON, J. M. 1989 The lubrication force between two viscous drops. Phys. Fluids A 1 77-81.
11. DULLIEN, F. A. L. 1979 Porous Media Fluid Transport and Pore Structure. Academic.
12. FABER, T. E. 1995 Fluid Dynamics for Physicists. Cambridge University.
13. FRIEDMAN, S. P. 2005 Soil properties influencing apparent electrical conductivity: A review. Computers Electronics in Agriculture 46, 45-70.
14. HANAI, T. 1968 Electrical properties of emulsions. In Emulsion Science (ed. P. Sherman). Academic.
15. KEENE, B. J. 1995 Interfacial tension between ferrous melts and molten slags. In Slag Atlas, 2nd Edn, pp. 463-511. Verein Deutscher EisenHüttenleute.
16. KJARSGAARD, B. A. & HAMILTON, D. L. 1989 The genesis of carbonatites by immiscibility. In Carbonatites: Genesis and Evolution (ed. K. Bell), pp. 70-86. London: Unwin Hyman.
17. KOH, A., GILLIES, G., GORE, J. & SAUNDERS, B. R. 2000 Flocculation and coalescence of oil-in-water polydimethylsiloxane emulsions. J. Colloid Interface Sci. 227, 390-397.
18. KUSHNER IV, J., ROTHER, M. A. & DAVIS, R. H. 2001 Buoyancy-driven interactions of viscous drops with deforming interfaces. J. Fluid Mech. 446, 253-269.
19. LANDAU, L. D. & LIFSHITZ, E. M. 1987 Fluid Mechanics. Pergamon.
20. LARSON, R. G. 1999 The Structure and Rheology of Complex Fluids Oxford University Press.
21. LOWENBERG, M. 1998 Numerical simulation of a concentrated emulsion flows. Trans ASME: J. Fluids Engng 120, 824-832.
22. LOWENBERG, M. & HINCH, E. J. 1996 Numerical simulation of a concentrated emulsion in shear flow. J. Fluid Mech. 321, 395-419.
23. LOWENBERG, M. & HINCH, E. J. 1997 Collision of two deformable droplets in shear flow. J. Fluid Mech. 338, 299-315.
24. MARTIN, D. & NOKES, R. 1988 Crystal settling in a vigorously convecting magma chamber. Nature 332, 534-536.
25. MAVKO, G., MUKERJI, T. & DVORKIN, J. 1998 The Rock Physics Handbook. Cambridge University Press.
26. MCKENZIE, D. 1984 The generation and compaction of partially molten rock. J. Petrol. 25, 713-765.
27. OHTANI, E., RINGWOOD, A. E. & HIBBERSON, W. 1984 Composition of the core ii. effect of high pressure on solubility of FeO in molten iron. Earth Planet. Sci. Lett. 71, 94-103.
28. ONUKI, A. 1994 Domain growth and rheology in phase-separating binary mixtures with viscosity difference. Europhys. Lett. 28 175-179.
29. PHILPOTTS, A. R. 1982 Compositions of immiscible liquids in volcanic rocks. Contrib. Mineral. Petrol. 80, 201-218.
30. ROTHER, M. A., ZINCHENKO, A. Z. & DAVIS, R. H. 1997 Buoyancy-driven coalescence of slightly deformable drops. J. Fluid Mech. 346, 117-148.
31. SAFRONOV, V. S. 1978 The heating of the earth during its formation. Icarus 33, 3-12.
32. SCOTT, D. & STEVENSON, D. 1984 Magma solitons. Geophys. Res. Lett. 11, 1161-1164.
33. SEGRÉ, P. N., LIU, F., UMBANHOWAR, P. & WEITZ, D. A. 2001 An effective gravitational temperature for sedimentation. Nature 409, 594-597.
34. SOLOMATOV, V. S. 2000 Fluid dynamics of a terrestrial magma ocean. In Origin of the Earth and Moon (ed. R. Canup & K. Righter), pp. 323-338. University of Arizona Press, Tucson, Arizona.
35. SPIEGELMAN, M. 1993 Flow in deformable porous media, part 2 numerical analysis - the relationship between shock waves and solitary waves. J. Fluid Mech. 247, 39-63.
36. STEVENSON, D. J. 1980 Saturn's luminosity and magnetism. Science 208, 746-748.
37. STEVENSON, D. J. 1982 Interiors of the giant planets. Annu. Rev. Earth Planet. Sci. 10, 257-295.
38. STEVENSON, D. J. 1990 Fluid dynamics of core formation. In Origin of the Earth (ed. H. E. Newsom & J. H. Jones), pp. 231-249. Oxford University Press.
39. STEVENSON, D. J. & SALPETER, E. E. 1977 The phase diagram and transport properties for hydrogenhelium fluid planets. Astrophys. J. Suppl. 35, 221-237.
40. TO, K.-W. & CHAN, C.-K. 1992 Scaling behaviour in the demixing of a binary-liquid mixture under gravity. Europhys. Lett. 19, 311-316.
41. TO, K.-W. & CHAN, C.-K. 1994 Morphology and dynamics of a separating immiscible binary liquid mixture under gravity. Physica A 205, 320-329.
42. URAKAWA, S., KATO, M. & KUMAZAWA, M. 1987 Experimental study on the phase relations in the system Fe-Ni-O-S up to 15 GPa. In High-Pressure Research in Mineral Physics (ed. M. H. Manghnani & Y. Syono), pp. 95-111. TERRAPUB.
43. WANG, H. & DAVIS, R. H. 1995 Simultaneous sedimentation and coalescence of a dilute dispersion of small drops. J. Fluid Mech. 295, 247-261.
44. WANG, H., ZINCHENKO, A. & DAVIS, R. H. 1994 The collision rate of small drops in linear flow fields. J. Fluid Mech. 265, 161-188.
45. YIANTSIOS, S. G. & DAVIS, R. H. 1990 On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface. J. Fluid Mech. 217, 547-573.
46. YOON, Y., BORRELL, M., PARK, C. C. & LEAL, L. G. 2005 Viscosity ratio effects on the coalescence of two equal-sized drops in a two-dimensional linear flow. J. Fluid Mech. 525, 355-379.