Abstract
The static properties of foams with low liquid fraction are now well understood. We review current topics of foam research, which include the search for appropriate boundary conditions for drainage models, and dynamic effects, such as convective bubble motion. The formation of metal foams poses interesting problems with regard to the solidification of draining metal during the cooling process.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Weaire, D., and S. Hutzler. 1999. The Physics of Foams. Oxford: Oxford University Press.
Zitha, P. L. J. (ed.). 2000. Proceedings of EuroFoam 2000, the EuroConference on Foams, Emulsions and Applications. Delft: Kluwer.
Brakke, K. 1992. The Surface Evolver. Experimental Mathematics 1, 141–165.
Princen, H. M. 1986. Osmotic pressure of foams and highly concentrated emulsions—I. Theoretical considerations. Langmuir 2, 519–524.
Princen, H. M., and A. D. Kiss. 1987. Osmoticpressure of foams and highly concentrated emulsions—II. Determination from the variation in volume fraction with height in an equilibrated column. Langmuir 3, 36–41.
Leonard, R. A., and R. Lemlich. 1965. A study of interstitial liquid flow in foam—Part I. Theoretical model and application to foam fractionation. American Institute of Chemical Engineers Journal 11, 18–25.
Leonard, R. A., and R. Lemlich. 1965. A study of interstitial liquid flow in foam—Part II. Experimental verification and observations. American Institute of Chemical Engineers Journal 11, 25–29.
Shih, F. S., and R. Lemlich. 1967. A study of interstitial liquid flow in foam—Part III. Test of theory. American Institute of Chemical Engineers Journal 13, 751–754.
Weaire, D., S. Hutzler, G. Verbist, and E. A. J. F. Peters. 1997. A review of foam drainage. Advances in Chemical Physics 102, 315–374.
Cox, S. J., D. Weaire, S. Hutzler, J. Murphy, R. Phelan, and G. Verbist. 2000. Applications and generalizations of the foam drainage equation. Proceedings of the Royal Society of London A 456, 2441–2464.
Koehler, S. A., S. Hilgenfeldt, and H. A. Stone. 1999. Liquid flow through aqueous foams: The node-dominated drainage equation. Physical Review Letters 82, 4232–4235.
Exerowa, D., and P. M. Kruglyakov. 1998. Foam and Foam Films. Amsterdam: Elsevier.
Hutzler, S., D. Weaire, and R. Crawford. 1998. Convective instability in foam drainage. Europhysics Letters 41, 461–465.
Vera, M. U., A, Saint-Jalmes, and D. J. Durian. 2000. Instabilities in a liquid-fluidized bed of gas bubbles. Physical Review Letters 84, 3001–3004.
Neethling, S., and J. J. Cilliers. 1999. Visualization and drainage of coalescing, flowing foams. In Foams and Films (D. Weaire and J. Banhart, eds.). Bremen: MIT-Verlag.
Weaire, D., and M. A. Fortes. 1994. Stress and strain in liquid foams. Advances in Physics 43, 685–738.
Bolton, F., and D. Weaire. 1991. The effects of Plateau borders in the two-dimensional soap froth—I. Decoration lemma and diffusion theorems. Philosophical Magazine B 63, 795–809.
Bolton, F., and D. Weaire. 1992. The effects of Plateau borders in the two-dimensional soap froth—II. General simulation and analysis of rigidity loss transition. Philosophical Magazine B 65, 473–487.
Kraynik, A. M., M. K. Neilsen, D. A. Reinelt, and W. E. Warren. 1999. Foam micromechanics. In Foams and Emulsions (J. F. Sadoc and N. Rivier, eds.). Dordrecht: Kluwer Academic Publishers.
Durian, D. J. 1997. Bubble-scale model of foam mechanics: Melting, nonlinear behaviour, and avalanches. Physical Review E 55, 1739–1751.
Hutzler, S., D. Weaire, and F. Bolton. 1995. The effects of Plateau borders in the two-dimensional soap froth—III. Further results. Philosophical Magazine B 71, 277–289.
Jiang, Y., P. J. Swart, A. Saxena, M. Asipauskas, and J. A. Glazier. 1999. Hysteresis and avalanches in two-dimensional foam rheology simulations. Physical Review E 59 5819–5832.
Abd el Kader, A., and J. C. Earnshaw. 1999. Shear-induced changes in two-dimensional foam. Physical Review Letters 82, 2610–2613.
Gibson, L. J., and M. F. Ashby. 1997. Cellular Solids—Structure and Properties, 2nd ed. Cambridge: Cambridge University Press.
Kraynik, A. M. 1988. Foam flows. Annual Review of Fluid Mechanics 20, 325–357.
Princen, H. M. 2000. To be published.
Khan, S. A., and R. C. Armstrong. 1986. Rheology of foams: I. Theory for dry foams. Journal of Non-Newtonian Fluid Mechanics 20, 1–22.
Schwartz, L. W., and H. M. Princen. 1987. A theory of extensional viscosity for flowing foams and concentrated emulsions. Journal of Colloid Interface Science 118, 201–211.
Cox, S. J., G. Bradley, and D. Weaire. 2000. Modelling metallic foam formation: The competition between heat transfer and drainage. Submitted.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this paper
Cite this paper
Weaire, D.L., Hutzler, S. (2001). Hard Problems with Soft Materials: The Mechanics of Foams. In: Aref, H., Phillips, J.W. (eds) Mechanics for a New Mellennium. Springer, Dordrecht. https://doi.org/10.1007/0-306-46956-1_18
Download citation
DOI: https://doi.org/10.1007/0-306-46956-1_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7156-4
Online ISBN: 978-0-306-46956-5
eBook Packages: Springer Book Archive