Two-dimensional viscous froth model for foam dynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 1, 2004, Pages

  Kern, N ^a,b   Weaire, D ^a   Martin, A ^a   Hutzler, S ^a   Cox, S J ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

^b UNIV MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; EQUATIONS OF MOTION; FOAMS; MATHEMATICAL MODELS; STRAIN RATE; TOPOLOGY;

FOAM DYNAMICS; PLATEAU BORDERS; TWO-DIMENSIONAL VISCOUS FROTH MODEL;

RHEOLOGY;

EID: 41349109145     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.041411     Document Type: Article

References (31)

1. J.A. Glazier and D. Weaire, J. Phys.: Condens. Matter 4, 1867 (1992).
2. D. Weaire and S. McMurry, Solid State Phys. 50, 1 (1997).
3. A. Kabla and G. Debregeas, Phys. Rev. Lett. 90, 258303 (2003).
4. I. Cantat and R. Delannay, Phys. Rev. E 67, 031501 (2003).
5. A.M. Kraynik, Annu. Rev. Fluid Mech. 20, 325 (1988).
6. R.L. Fullman, in Metal Interfaces (American Society of Metals, Cleveland, 1952), p. 179.
7. K. Kawasaki, T. Nagai, and K. Nakashima, Philos. Mag. B 60, 399 (1989).
8. T. Okuzono and K. Kawasaki, Phys. Rev. E 51, 1246 (1995).
9. D.J. Durian, Phys. Rev. Lett. 75, 4780 (1995).
10. I. Cantat, R. Delannay, and N. Kern, Europhys. Lett. 65, 726 (2004).
11. D. Weaire and S. Hutzler, The Physics of Foams (Clarendon Press, Oxford, 1999).
12. J. von Neumann, in Metal Interfaces (American Society of Metals, Cleveland, 1952), p. 108.
13. W.W. Mullins, J. Appl. Phys. 27, 900 (1956).
14. K. Brakke, The Motion of a Surface by its Mean Curvature (Princeton University Press, Princeton, NJ, 1978).
15. C.S. Smith, in Metal Interfaces (American Society for Metals, Cleveland, 1952), p. 65.
16. S.J. Cox, M.F. Vaz, and D. Weaire, Eur. Phys. J. E 11, 29 (2003).
17. D. Weaire and J.P. Kermode, Philos. Mag. B 47, L29 (1983).
18. D. Weaire and J.P. Kermode, Philos. Mag. B 48, 245 (1983).
19. J.P. Kermode and D. Weaire, Comput. Phys. Commun. 60, 75 (1990).
20. H. Aref and T. Herdtle, in Typological Fluid Mechanics, edited by H. Moffat and A. Tsinober (Cambridge University Press, Cambridge, U.K., 1990), p. 745.
21. F.P. Bretherton, J. Fluid Mech. 10, 16 (1961).
22. C. Monnereau, B. Prunet-Foch, and M. Vignes-Adler, Phys. Rev. E 63, 061402 (2001).
23. D. Weaire, Philos. Mag. Lett. 68, 93 (1993).
24. H.J. Frost, C.V. Thompson, C.L. Howe, and J. Whang, Scr. Metall. 22, 65 (1988).
25. K. Brakke, Exp. Math, 1, 141 (1992).
26. D. Weaire, S. Hutzler, S. Cox, N. Kern, M.D. Alonso, and W. Drenckhan, J. Phys.: Condens. Matter 15, S65 (2003).
27. W. Drenckhan, Ph.D. thesis, Physics Department, Trinity College Dublin (2004).
28. W. Drenckhan, F. Elias, S. Hutzler, D. Weaire, E. Janiaud, and J.-C. Bacri, J. Appl. Phys. 93, 10078 (2003).
29. D.A. Reinelt and A.M. Kraynik, J. Colloid Interface Sci. 132, 491 (1989).
30. T. Green, L. Lue, and P. Grassia (unpublished).
31. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, U.K., 1992).