Sound velocity and absorption in a coarsening foam

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 2, 2002, Pages

  Mujica, Nicolás ^a   Fauve, Stéphan ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; ACOUSTIC DISPERSION; ACOUSTIC WAVE VELOCITY; ATTENUATION; BUBBLES (IN FLUIDS); ELASTIC MODULI; ELASTICITY; MATRIX ALGEBRA; POROUS MATERIALS; SURFACE ACTIVE AGENTS; THERMODYNAMICS;

BIOT'S THEORY; COARSENING FOAMS; LIQUID MATRICES; THERMAL DISSIPATION;

FOAMS;

EID: 41349123039     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.021404     Document Type: Article

References (41)

1. L. van Wijngaarden, J. Fluid Mech. 33, 465 (1968).
2. A. Crespo, Phys. Fluids 12, 2274 (1969).
3. G.K. Batchelor, in Fluid Dynamics Transactions, edited by W. Fiszdon, P. Kucharczyk, and W.J. Posnak (PWN-Polish Scientific, Warsaw, 1969), pp. 425–445.
4. L. van Wijngaarden, Annu. Rev. Fluid Mech. 4, 369 (1972).
5. R.E. Caflisch, M.J. Miksis, G.C. Papanicolaou, and L. Ting, J. Fluid Mech. 153, 259 (1985).
6. E.L. Carstensen and L.L. Foldy, J. Acoust. Soc. Am. 19, 481 (1947).
7. F.E. Fox, S.R. Curley, and G.S. Larson, J. Acoust. Soc. Am. 27, 534 (1955).
8. J.D. Macpherson, Proc. Phys. Soc. London, Sect. B 70, 85 (1957).
9. E. Silberman, J. Acoust. Soc. Am. 29, 925 (1957).
10. K.W. Commander and A. Prosperetti, J. Acoust. Soc. Am. 85, 732 (1989).
11. C. Devin, J. Acoust. Soc. Am. 31, 1654 (1959).
12. A.I. Eller, J. Acoust. Soc. Am. 47, 1469 (1970).
13. A. Prosperetti, J. Acoust. Soc. Am. 61, 17 (1977).
14. A. Prosperetti, J. Fluid Mech. 222, 587 (1991).
15. J. Rubinstein, J. Acoust. Soc. Am. 77, 2061 (1985).
16. R.E. Caflisch, M.J. Miksis, G.C. Papanicolaou, and L. Ting, J. Fluid Mech. 160, 1 (1985).
17. Z.M. Orenbakh and G.A. Shushkov, Acoust. Phys. 39, 63 (1993).
18. Q. Sun, J.P. Butler, B. Suki, and D. Stamenović, J. Colloid Interface Sci. 163, 269 (1994).
19. F.I. Vafina, I.I. Gol’dfarb, and I.R. Shreiber, Akust. Zh. 38, 260 (1992) [Sov. Phys. Acoust. 38, 139 (1992)].
20. I.I. Gol’dfarb, I.R. Shreiber, and F.I. Vafina, J. Acoust. Soc. Am. 92, 2756 (1992).
21. The Gillette Company, Gillette U.K. Ltd., London.
22. D.J. Durian, D.A. Weitz, and D.J. Pine, Phys. Rev. A 44, R7902 (1991).
23. H. Hoballah, R. Holler, and S. Cohen-Addad, J. Phys. II 7, 1215 (1997).
24. S. Cohen-Addad, H. Hoballah, and R. Holler, Phys. Rev. E 57, 6897 (1998).
25. W.W. Mullins, J. Appl. Phys. 59, 1341 (1986).
26. A.B. Wood, A Textbook of Sound (Bell and Sons, London, 1944), pp. 360–363.
27. K.F. Herzfeld, Philos. Mag. 9, 752 (1930).
28. M. Minnaert, Philos. Mag. 16, 235 (1933).
29. R.P. Feynman, R.B. Leighton, and M. Sands, Lectures On Physics (Addison-Wesley, Reading, MA, 1969), Vol. II.
30. T.G. Leighton, The Acoustic Bubble (Academic Press, New York, 1994).
31. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon Press, New York, 1986).
32. For long aging times, the accumulation of a thin liquid layer on the transducer can induce changes on the acoustic transmission to the foam. However, once the acoustic pulse enters the foam, this liquid layer does not affect its propagation. Indeed, a liquid layer would affect the absolute values of (Formula presented) and (Formula presented) but not their relative values with respect to changes of L.
33. L.D. Landau and E.M. Lifshitz, Fluid Mechanics, 2nd ed. (Butterworth Heinemann, Oxford, 1987).
34. P.M. Morse and K.U. Ingard, Theoretical Acoustics (Princeton University Press, Princeton, NJ, 1986).
35. M.J. Miksis and L. Ting, Phys. Fluids 30, 1683 (1987).
36. R.J. Urick, J. Acoust. Soc. Am. 20, 283 (1948).
37. J.R. Allegra and S.A. Hawley, J. Acoust. Soc. Am. 51, 1545 (1972).
38. National Institute of Standards and Technology Chemistry WebBook, http://webbook.nist.gov/chemistry
39. A.I. Rusanov and V.V. Krotov, Prog. Surf. Membr. Sci. 13, 415 (1979).
40. Y. Couder, J.M. Chomaz, and M. Rabaud, Physica D 37, 384 (1989).
41. D.L. Johnson, in Frontiers in Physical Acoustics, Proceedings of the International School of Physics “Enrico Fermi,” Course XCIII, edited by D. Sette (North-Holland, Amsterdam, 1986), pp. 255–290.