Gravitational effects on structure development in quenched complex fluids

Annals of the New York Academy of Sciences

Volumn 1027, Issue , 2004, Pages 371-382

  Badalassi, V E ^a   Ceniceros, H D ^b   Banerjee, S ^a  

^a University of California   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cahn Hilliard equation; Model H; Navier Stokes equations; Phase separation under gravity

Indexed keywords

CONFERENCE PAPER; FORCE; GRAVITY; LIQUID; SEDIMENTATION; STRUCTURE ANALYSIS;

EID: 10644271417     PISSN: 00778923     EISSN: None     Source Type: Book Series    
DOI: 10.1196/annals.1324.031     Document Type: Conference Paper

References (19)

1. SIGGIA, E.D. 1979. Late stages of spinodal decomposition in binary mixtures, Phys. Rev. A 20(2): 595-605.
2. BADALASSI, V.E., H.D. CENICEROS & S. BANERJEE. 2003. Computation of multiphase systems with phase field models, J. Comput. Phys. 190(2): 371-397.
3. PEYRET, R. 2002. Spectral Methods for Incompressible Viscous Flow. Springer, New York.
4. PENROSE, O., & P. FIFE. 1990. Thermodynamically consistent models of phase-field type for the kinetics of phase transitions, Physica D 43: 44.
5. BRAY, A.J. 1994. Theory of phase-ordering kinetics, Adv. Phys. 43(3): 357-459.
6. CHELLA, R. & V. VIÑALS. 1996. Mixing of a two-phase fluid by a cavity flow. Phys. Rev. E 53: 3832.
7. VAN DER WAALS, J.D. 1879. The thermodynamic theory of capillarity flow under the hypothesis of a continuous variation of density. Verhandel/Konink. Akad. Weten. 1: 8. (Dutch.)
8. CAHN, J.W. & J.E. HILLIARD. 1958. Free energy of a nonuniform system I. J. Chem. Phys. 28: 258.
9. CAHN, J.W. & J.E. HILLIARD. 1959. Free energy of a nonuniform system III. J. Chem. Phys. 31: 688.
10. BATES, P.W. & P.C. FIFE. 1993. The dynamics of nucleation for the Cahn-Hilliard equation, SIAM J. Appl. Math. 53: 990.
11. ELLIOT, C.M. 1989. The Cahn-Hilliard model for the kinetics of phase separation. In Mathematical Models for Phase Change Problems. J.F. Rodrigues, Ed.: 35-72. International Series of Numerical Mathematics, Vol. 88. Bikhäuser Verlag, Basel.
12. JACQMIN, D. 1999. Calculation of two phase Navier-Stokes flows using phase-field modeling. J. Comput. Phys. 115: 96.
13. GURTIN, M.E., D. POLIGNONE & J. VIÑALS. 1996. Two-phase binary fluids and immiscible fluids described by an order parameter. Math. Models Meth. Appl. Sci. 6(6): 815.
14. HOHENBERG, P.C. & B.I. HALPERIN. 1977. Theory of dynamic critical phenomena. Rev. Mod. Phys. 49(3): 435.
15. CHAN, C.K. & W.I. GOLDBURG. 1987. Late-stage phase separation and hydrodynamic flow in a binary liquid mixture. Phys. Rev. Lett. 58(7): 674-678.
16. KENDON, V.M., M.E. CATES, I. PAGONABARRAGA, et al. 2001. Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study. J. Fluid Mech. 440 147.
17. LIFSHITZ, I.M. & V.V. SLYOZOV. 1961. The kinetics of precipitation from supersaturated solid solutions, J. Phys. Chem. Solids 19(1-2): 35-50.
18. PURI, S., N. PAREKH & S. DATTAGUPTA. 1994. Phase ordering dynamics in a gravitational-field, J. Stat. Physics 75(5-6): 839-857.
19. BEYSENS, D., P. GUENON & F. PERROT. 1988. Phase separation of critical binary fluids under microgravity: comparison with matched density conditions. Phys. Rev. A 38(8): 4173-4185.