Drainage in standing liquid metal foams: Modelling and experimental observations

Acta Materialia

Volumn 52, Issue 10, 2004, Pages 3047-3058

  Gergely, V ^a   Clyne, T W ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Capillarity; Metallic foams; MMC; Modelling; Processing

Indexed keywords

BOUNDARY CONDITIONS; CAPILLARITY; COMPUTATIONAL METHODS; DRAINAGE; FOAMS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STIFFNESS; VOLUME FRACTION;

LIQUID VOLUME FRACTIONS; METALLIC FOAMS; MMC; MODELLING;

LIQUID METALS;

EID: 2642585725     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2004.03.007     Document Type: Article

References (46)

1. Ashby M.F., Evans A.G., Fleck N.A., Gibson L.J., Hutchinson J.W., Wadley H.N.G. Metal Foams: A Design Guide. 2000;Butterworth-Heinemann, Boston.
2. Sosnick B. Process for Making Foamlike Mass of Metal, in US Patent 2,434,775, (1948).
3. Allen BC, Mote MW, Sabroff AM. Method of Making Foamed Metal, in US Patent 3,087,807, (1963).
4. Simancik F., Schörghuber F. Complex Foamed Aluminium Parts as Permanent Cores in Aluminium Castings. Schwartz D.S., Shih D.S., Evans A.G., Wadley H.N.G. Porous and Cellular Materials for Structural Applications. 1998;151-157 MRS.
5. Baumeister J. Production Technology for Aluminium Foam/Steel Sandwiches. Banhart J., Ashby M.F., Fleck N.A. Int. Conf. on Metal Foams and Porous Metal Structures (MetFoam '99). 1999;113-118 Verlag MIT Publishing.
6. Miyoshi T., Itoh M., Akiyama S., Kitahara A. ALPORAS Aluminium Foam: Production Process, Properties, and Applications. Adv. Engng. Mater. 2:2000;179-183.
7. Gergely V., Clyne T.W. The FORMGRIP Process: Foaming of Reinforced Metals by Gas Release In Precursors. Adv. Engng. Mater. 2:2000;175-178.
8. Harte A.-M., Nichol S. Scale-up Issues Related to Producing Cymat Stabilized Aluminium Foam. Banhart J., Ashby M.F., Fleck N.A. 2nd Int. Conf. Cellular Metals and Metal Foaming Technology (MetFoam 2001). 2001;49-54 Verlag MIT Publishing.
9. Gergely V., Clyne T.W. The FOAMCARP Process: Foaming Of Aluminium MMCS by the Chalk-Aluminium Reaction in Precursors. Comp. Sci. Tech. 63:2003;2301-2310.
10. Goldfarb I.I., Kann K.B., Shreiber I.R. Liquid Flow in Foams. Fluid Dyn. 23:1988;1.
11. Verbist G., Weaire D., Kraynik A.M. The Foam Drainage Equation. J. Phys.: Condens. Matter. 8:1996;3715-3731.
12. Koehler S.A., Stone H.A., Brenner M.P., Eggers J. Dynamics of Foam Drainage. Phys. Rev. E. 1998;2097-2106.
13. Koehler S.A., Hilgenfeldt S., Stone H.A. A Generalized View of Foam Drainage: Experiment and Theory. Langmuir. 16:2000;6327-6341.
14. Cox S.J., Weaire D., Hutzler S., Murphy J., Phelan R., Verbist G. Applications and Generalizations of the Foam Drainage Equation. Proc. R. Soc. Lond. A. 2000;2441-2464.
15. Narsimhan G. A Model for Unsteady-State Drainage of a Static Foam. J. Food Engng. 14:1991;139-165.
16. Pertsov A.V., Simonov A.E., Porodenko E.V. Syneresis in Foams. Computer Simulations. Colloid J. 54:1992;103-107.
17. Gururaj M., Kumar R., Gandhi K.S. A Network Model of Static Foam Drainage. Langmuir. 11:1995;1381-1391.
18. Bhakta A., Ruckenstein E. Foams and Concentrated Emulsions: Dynamics and "Phase Behavior. Langmuir. 11:1995;4642-4652.
19. Podual K., Kumar R., Gandhi K.S. A New Model for Drainage of Static Foam. Chem. Engng. Sci. 51:1996;1393-1403.
20. Neethling S.J., Cilliers J.J., Woodburn E.T. Prediction of the Water Distribution in a Flowing Foam. Chem. Eng. Sci. 2000;4021-4028.
21. Kelvin L.S.W.T. On the Division of Space with Minimum Partitional Area. Phil. Mag. and J. Sci. 24:1887;503-514.
22. Weaire D., Phelan R. A Counter-Example to Kelvin's Conjecture on Minimal Surfaces. Phil. Mag. Letts. 69:1994;107-110.
23. Desch C.H. The Solidification of Metals from the Liquid State. J. Inst. Met. 22:1919;241-263.
24. Rhodes M.B. Characterization of Polymeric Cellular Structures. Hilyard N.C., Cunningham A. Low Density Cellular Plastics: Physical Basis of Behaviour. 1994;57-77 Chapman & Hall, London.
25. White P.L., Van Vlack L.H. A Comparison of Two- and Three-Dimensional Size Distributions in a Cellular Material. Metallography. 3:1970;241-258.
26. Bhakta A., Ruckenstein E. Drainage and Coalescence in Standing Foams. J. Colloid Interface Sci. 191:1997;184-201.
27. Reynolds O. On the Theory of Lubrication and its Application to Mr. Beauchamp Tower's Experiments, including an Experimental Determination of the Viscosity of Olive Oil. Phil. Trans. Roy. Soc. London. 177:1886;157-234.
28. Weaire D., Hutzler S. The Physics of Foams. 1999;Oxford University Press.
29. Bhakta A., Ruckenstein E. Decay of Standing Foams: Drainage, Coalescence and Collapse. Adv. Colloid Interface Sci. 70:1997;1-124.
30. Loue W.R., Landkron S., Kool W.H. Rheology of Partly Solidified AlSi7Mg0.3 and the Influence of SiC Additions. Mater. Sci. Eng. A151:1992;255-262.
31. Babscán N., Leitlmeier D., Degischer H.P. Foamability of Particle Reinforced Aluminium Melt. Materialwissenschaft und Werkstofftechnik. 34:2003;22-29.
32. Angarska J.K., Tachev K.D., Ivanov I.B., Mehreteab A., Brose G. Effect of Magnesium Ions on the Properties of Foam Films Stabilized with Sodium Doecyl Sulfate. J. Colloid. Interface Sci. 195:1997;316-328.
33. Leitlmeier D., Degischer H.P., Flankl H.J. Development of a Foaming Process for Particulate Reinforced Aluminium Melts. Adv. Eng. Mater. 4:2002;735-739.
34. Gergely V., Jones R.L., Clyne T.W. The Effect of Capillarity-Driven Melt Flow and Size of Particles in Cell Faces on Metal Foam Structure Evolution. Trans. JWRI (Special Issue). 30:2001;371-376.
35. Ip S.W., Wang Y., Toguri J.M. Aluminum Foam Stabilization by Solid Particles. Canadian Metall. Quarterly. 38:1999;81-92.
36. Kaptay G. Interfacial Criteria for the Stabilization of Liquid Foams by Solid Particles. Colloids Surfaces A. 230:2003;67-80.
37. Kaptay G. An Improved Interfacial Model of Stabilisation of Metallic Foams by Solid Particles. Banhart J., Fleck N.A., Mortensen A. 3rd Int. Conf. on Cellular Metals and Metal Foaming Technology (MetFoam 2003). 2003;107-112 Verlag MIT Publishing.
38. Princen H.M. Gravitational Syneresis in Foams and Concentrated Emulsions. J. Colloid Interface Sci. 1989;188-197.
39. Saint-Jalmes A., Vera M.U., Durian D.J. Uniform Foam Production by Turbulent Mixing: New Results on Free Drainage vs. Liquid Content. Eur. Phys. J. B. 12:1999;67-73.
40. Leonard R.A., Lemlich R. A Study of Interstitial Liquid Flow in Foam, Part I. Theoretical Model and Application to Foam Fractionation. A.I.Ch.E. Journal. 11:1965;18-25.
41. Desai D., Kumar R. Flow Through a Plateau Border of Cellular Foam. Chem. Engng. Sci. 37:1982;1361-1370.
42. Ramani M.V., Kumar R., Gandhi K.S. A Model for Static Foam Drainage. Chem. Engng. Sci. 48:1993;455-465.
43. Koehler S.A., Hilgenfeldt S., Stone H.A. Liquid Flow through Aqueous Foams: The Node-Dominated Foam Drainage Equation. Phys. Rev. Lett. 82:1999;4232-4235.
44. Neethling S.J., Lee H.T., Cilliers J.J. A Foam Drainage Equation Generalized for All Liquid Contents. J. Phys: Condens. Matter. 14:2002;331-342.
45. Carrier V, Destouesse S, Colin A. Foam Drainage: A Film Contribution. Phys. Rev. E 2002;65:061404-1-9.
46. Underwood E.E. Quantitative Stereology. 1970;Addison-Wesley Publishing Company, Reading.