Two-phase binary fluids and immiscible fluids described by an order parameter

Mathematical Models and Methods in Applied Sciences

Volumn 6, Issue 6, 1996, Pages 815-831

  Gurtin, Morton E ^a   Polignone, Debra ^b   Vinals, Jorge ^c,d  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c FLORIDA STATE UNIVERSITY   (United States)

^d FAMU FSU COLLEGE OF ENGINEERING   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001575645     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000341     Document Type: Article

References (22)

1. J. Cahn, On spinodal decomposition, Acta Metal. 9, 795 (1961).
2. R. Chella and J. Viñals, Mixing of a two-phase fluid by cavity flow, Phys. Rev. E53, 3832 (1996).
3. J. Farrell and O. Valls, Spinodal decomposition in a two-dimensional fluid model, Phys. Rev. B40, 7027 (1989).
4. E. Fried and M. E. Gurtin, Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, Phys. D68, 326 (1993).
5. E. T. Gawlinski, J. Viñals and J. D. Gunton, Domain growth and scaling in the two-dimensional Langevin model, Phys. Rev. B39, 7266 (1989).
6. M. E. Gurtin, Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, to appear in Phys. D.
7. H. Haj-Hariri, Q. Shi and A. Borhan, Effect of local property smearing on global variables: Implication for numerical simulations of multiphase flows, Phys. Fluids 6, 2555 (1994).
8. E. Helfand and G. H. Fredrickson, Large fluctuations in polymer solutions under shear, Phys. Rev. Lett. 62, 2468 (1989).
9. C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comp. Phys. 39, 201 (1981).
10. P. C. Hohenberg and B. I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49, 435 (1977).
11. K. Kawasaki and T. Ohta, Kinetics of fluctuations for systems undergoing phase transitions - interfacial approach, Phys. A118, 175 (1983).
12. T. Koga and K. Kawasaki, Spinodal decomposition in binary fluids: Effects of hydrodynamic interactions, Phys. Rev. A44, R817 (1991).
13. G. Leptoukh, B. Strickland and C. Roland, Phase separation in two-dimensional fluid mixtures, Phys. Rev. Lett. 24, 3636 (1995).
14. M. S. Miguel, M. Grant and J. Gunton, Phase separation in two-dimensional binary fluids, Phys. Rev. A31, 1001 (1985).
15. W. W. Mullins and J. Viñals, Self-similarity and growth kinetics driven by surface free energy reduction, Acta. Metal. 37, 991 (1989).
16. A. Onuki and K. Kawasaki, Nonequilibrium steady state of critical fluids under shear flow: A renormalization group approach, Ann. Phys. 121, 456 (1979).
17. 4He. I. Model and correlation functions, Phys. Rev. B40, 10842 (1981).
18. E. D. Siggia, B. I. Halperin and P. C. Hohenberg, Renormalization group treatment of the critical dynamics of the binary-fluid and gas-liquid transitions, Phys. Rev. B13, 2110 (1976).
19. E. Siggia, Phys. Rev. A20, 595 (1979).
20. R. Toral, A. Chakrabarti, and J. D. Gunton, Effect of morphology of patterns on the scaling functions: Off-critical quenches, Phys. Rev. B39, 901 (1989).
21. C. Truesdell and W. Noll, in Handbuch der Physik, ed. S. Flügge (Springer, 1965), Vol. 3.
22. S. O. Unverdi and G. Trygvasson, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comp. Phys. 100, 25 (1992).