Ordered packings of bubbles in columns of square cross-section

Colloids and Surfaces A: Physicochemical and Engineering Aspects

Volumn 344, Issue 1-3, 2009, Pages 37-41

  Hutzler, S ^a   Barry, J ^a   Grasland Mongrain, P ^a   Smyth, D ^a   Weaire, D ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Foams; Simulation; Structure

Indexed keywords

BUBBLE DIAMETER; BUBBLE SIZE; CONFINED SPACE; CROSS SECTIONAL AREA; EQUAL SIZES; EXPERIMENTAL DATA; ORDERED FOAMS; ORDERED STRUCTURES; SIMULATION; SQUARE CROSS-SECTION; STRUCTURE;

ARTICLE; CHEMICAL STRUCTURE; COMPUTER SIMULATION; CONTROLLED STUDY; FOAM; MICROBUBBLE; PARTICLE SIZE; PRIORITY JOURNAL;

EID: 67349114124     PISSN: 09277757     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.colsurfa.2008.12.021     Document Type: Article

References (26)

1. Bragg L., and Nye J.F. A dynamical model of a crystal structure. Proceedings of the Royal Society of London Series A 190 (1947) 474-481
2. Ganan-Calvo A.M., and Gordillo J.M. Perfectly monodisperse microbubbling by capillary flow focusing. Physical Review Letters 87 27 (2001) 274501
3. van der Net A., Drenckhan W., Weaire D., and Hutzler S. The crystal structure of bubbles in the wet foam limit. Soft Matter 2 2 (2006) 129-134
4. van der Net A., Delaney G.W., Drenckhan W., Weaire D., and Hutzler S. Crystalline arrangements of microbubbles in monodisperse foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 309 (2007) 117-124
5. Mann W.B., and Stephens R.W.B. Philosophical Magazine 15 (1933) 143
6. Dodd J.D. An approximation of the minimal tetrakaidecahedron. American Journal of Botany 42 (1955) 566-569
7. Weaire D., Hutzler S., and Pittet N. Cylindrical packings of foam cells. Forma 7 3 (1992) 259-263
8. Pittet N., Rivier N., and Weaire D. Cylindrical packing of foam cells. Forma 10 (1995) 65-73
9. Pittet N., Boltenhagen P., Rivier N., and Weaire D. Structural transitions in ordered, cylindrical foams. Europhysics Letters 35 (1996) 547-552
10. Hutzler S., Weaire D., and Crawford R. Moving boundaries in ordered cylindrical foam structures. Philosophical Magazine B 75 6 (1997) 845-857
11. Boltenhagen P., Pittet N., and Rivier N. Giant deformations and topological hysteresis of an ordered foam. Europhysics Letters 43 (1998) 690-694
12. Phelan R., Weaire D., and Bradley G. Speculations and calculation in the physics of foams. In: Skjeltorp A.T., and Edwards S.F. (Eds). Soft Condensed Matter: Configurations, Dynamics and Functionality (2000), Kluwer Academic Publishers 247-268
13. Hutzler S., Weaire D., Elias F., and Janiaud E. Juggling with bubbles in cylindrical ferrofluid foams. Philosophical Magazine Letters 82 (2002) 297-301
14. Hutzler S., Péron N., Weaire D., and Drenckhan W. The foam/emulsion analogy in structure and drainage. European Physical Journal E 14 (2004) 381-386
15. Saadatfar M., Barry J., Weaire D., and Hutzler S. Ordered cylindrical foam structures with internal bubbles. Philosophical Magazine Letters 88 (2008) 661-668
16. Fejes Tóth L. What the bees know and what they do not know. Bulletin of the American Mathematical Society 70 (1964) 468-481
17. Weaire D., and Phelan R. Optimal design of honeycombs. Nature 367 (1994) 123
18. Drenckhan W., Cox S.J., Delaney G., Holste H., Weaire D., and Kern N. Rheology of ordered foams-on the way to discrete microfluidics. Colloids and Surfaces A: Physicochemical and Engineering Aspects 263 1-3 (2005) 52-64
19. Priest C., Herminghaus S., and Seemann R. Generation of monodisperse gel emulsions in a microfluidic device. Applied Physics Letters 88 2 (2006) 024106
20. Brakke K.A. The surface evolver. Experimental Mathematics 1 (1992)
21. Brakke K.A., and Sullivan J.M. Using symmetry features of the surface evolver to study foams. In: Polthier K., and Hege H. (Eds). Mathematics and Visualization (1997), Springer-Verlag, Berlin
22. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes in C: The Art of Scientific Computing (1992), Cambridge University Press
23. Brakke K.A. The surface evolver and the stability of liquid surfaces. Philosophical Transactions of the Royal Society A 354 (1996) 2143-2157
24. S. Hutzler, et al., to be published.
25. Thomson W. On the Division of Space with Minimum Partitional Area. Philosophical Magazine 24 (1887) 503
26. Cantat I., Kern N., and Delannay R. Dissipation in foam flowing through narrow channels. Europhysics Letters 65 (2004) 726