Nucleation and spinodal decomposition of liquid mixtures

Physics of Fluids

Volumn 17, Issue 3, 2005, Pages

  Lamorgese, Andrea G ^a,b   Mauri, Roberto ^a  

^a UNIVERSITY OF PISA   (Italy)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; COMPUTER SIMULATION; DECOMPOSITION; DIFFUSION; EQUATIONS OF MOTION; FREE ENERGY; HEAT CONVECTION; INTERFACES (MATERIALS); NUCLEATION; PHASE SEPARATION; QUENCHING; VISCOSITY;

METASTABILITY; MOLECULAR DIFFUSION; NONEQUILIBRIUM CAPILLARY FORCE; VISCOUS FORCES;

BINARY MIXTURES;

LIQUID-LIQUID MIXING;

EID: 15844390930     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1863752     Document Type: Article

References (35)

1. G. P. Beretta and E. P. Gyftopoulos, Thermodynamics: Foundations and Applications (MacMillan, New York, 1991).
2. J. W. Gibbs, Collected Works (Yale University Press, New Haven, 1948), Vol. 1, pp. 105-115 and 252-258.
3. J. D. Gunton, "Homogeneous nucleation," J. Stat. Phys. JSTPBS0022-471510.1023/A:1004598332758 95, 903 (1999).
4. J. W. Cahn and J. E. Hilliard, "Free energy of a nonuniform system: III. Nucleation in a two-component incompressible fluid," J. Chem. Phys. JCPSA60021-960610.1063/1.1730447 31, 688 (1959).
5. J. D. van der Waals, "The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density," Z. Phys. Chem., Stoechiom. Verwandtschaftsl. ZEPCAC0372-8501 13, 657 (1894) J. Stat. Phys. JSTPBS0022-4715 20, 200 (1979) (translated and reprinted)
6. P. C. Hohenberg and B. I. Halperin, "Theory of dynamic critical phenomena," Rev. Mod. Phys. RMPHAT0034-686110.1103/ RevModPhys.49.435 49, 435 (1977).
7. D. Jasnow and J. Viñals, "Coarse-grained description of thermo-capillary flow," Phys. Fluids PHFLE61070-663110.1063/ 1.868851 8, 660 (1996).
8. D. M. Anderson, G. B. McFadden, and A. A. Wheeler, "Diffuse interface methods in fluid mechanics," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.30.1.139 30, 139 (1998).
9. J. Lowengrub and L. Truskinovsky, "Quasi-incompressble Cahn-Hilliard fluids and topological transitions," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 454, 2617 (1998).
10. D. Jacqmin, "Contact line dynamics of a diffuse fluid interface," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099006874 402, 57 (2000).
11. R. Mauri, R. Shinnar, and G. Triantafyllou, "Spinodal decomposition in binary mixtures," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.53.2613 53, 2613 (1996).
12. N. Vladimirova, A. Malagoli, and R. Mauri, "Diffusion driven phase separation of deeply quenched mixtures," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.58.7691 58, 7691 (1998).
13. E. Siggia, "Late stages of spinodal decomposition in binary mixtures," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.20.595 20, 595 (1979).
14. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, New York, 1984).
15. H. Furukawa, "Effect of inertia on droplet growth in a fluid," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.31.1103 31, 1103 (1985).
16. N. Vladimirova, A. Malagoli, and R. Mauri, "Two-dimensional model of phase segregation in liquid binary mixtures," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.60.6968 60, 6968 (1999).
17. N. Vladimirova, A. Malagoli, and R. Mauri, "Diffusiophoresis of two-dimensional liquid droplets in a phase-separating system," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.60.2037 60, 2037 (1999).
18. N. Vladimirova, A. Malagoli, and R. Mauri, "Two-dimensional model of phase segregation in liquid binary mixtures with an initial concentration gradient," Chem. Eng. Sci. CESCAC0009-250910.1016/ S0009-2509(00)00412-7 55, 6109 (2000).
19. W.-J. Ma, A. Maritan, J. R. Banavar, and J. Koplik, "Dynamics of phase separation of binary fluids," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.45.R5347 45, R5347 (1992).
20. V. M. Kendon, "Scaling theory of three-dimensional spinodal turbulence," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.61.R6071 61, R6071 (2000).
21. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1953), Chap. 6
22. M. Le Bellac, Quantum and Statistical Field Theory (Clarendon, Oxford, 1991), Chaps. 2 and 3
23. O. T. Valls and J. E. Farrell, "Spinodal decomposition in a three-dimensional fluid model," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.47.R36 47, R36 (1993), and references therein.
24. H. Tanaka, "Coarsening mechanisms of droplet spinodal decomposition in binary fluid mixtures," J. Chem. Phys. JCPSA60021-960610.1063/ 1.472839 105, 10099 (1996).
25. G. M. Santonicola, R. Mauri, and R. Shinnar, "Phase separation of initially non-homogeneous liquid mixtures," Ind. Eng. Chem. Res. IECRED0888-588510.1021/ie000798v 40, 2004 (2001).
26. R. Gupta, R. Mauri, and R. Shinnar, "Phase separation of liquid mixtures in the presence of surfactants," Ind. Eng. Chem. Res. IECRED0888-588510.1021/ie9807699 38, 2418 (1999).
27. H. Tanaka and T. Araki, "Spontaneous double phase separation induced by rapid hydrodynamic coarsening in two-dimensional fluid mixtures," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.81.389 81, 389 (1998).
28. M. San Miguel, M. Grant, and J. D. Gunton, "Phase separation in two-dimensional binary fluids," Phys. Rev. A PLRAAN1050-294710.1103/ PhysRevA.31.1001 31, 1001 (1985).
29. P. Guenoun, R. Gastaud, F. Perrot, and D. Beysens, "Spinodal decomposition patterns in an isodensity critical binary fluid," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.36.4876 36, 4876 (1987).
30. V. M. Kendon, M. E. Cates, I. Pagonabarraga, J.-C. Desplat, and P. Bladon, "Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture," J. Fluid Mech. JFLSA70022-112010.1017/S0022112001004682 440, 147 (2001).
31. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, New York, 1978), Sec. 162, Problem 2.
32. J. M. Smith and H. C. Van Ness, Introduction to Chemical Engineering Thermodynamics (McGraw-Hill, New York, 1987), Chap. 13.
33. A. G. Lamorgese and R. Mauri, "Phase separation of liquid mixtures," in Nonlinear Dynamics and Control in Process Engineering, edited by G. Continillo, S. Crescitelli, and M. Giona (Springer, Rome, 2002), pp. 139-152.
34. J. C. Tannehill, D. A. Anderson, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer (Taylor and Francis, London, 1997).
35. P. Yue, J. J. Feng, C. Liu, and J. Shen, "A diffuse interface method for simulating two-phase flows of complex fluids," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004000370 515, 293 (2004).