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Acoustic behaviour of a liquid/vapour mixture in a standing-wave tube

Published online by Cambridge University Press:  26 April 2006

C. Coste
Affiliation:
ENS-LYON, Laboratoire de Physique, 46, Allee d'Italie, 69364 LYON Cedex 07, France
C. Laroche
Affiliation:
ENS-LYON, Laboratoire de Physique, 46, Allee d'Italie, 69364 LYON Cedex 07, France

Abstract

We study the acoustic behaviour of a mixture of diethyl-ether bubbles and liquid, at small volume fraction of vapour, contained in a standing-wave tube. We give experimental evidence of the effect of the liquid/vapour phase transition on the positions and amplitudes of the resonances of the tube. The effective-medium theory, which properly describes the behaviour of liquid/gas mixtures, is shown to be inadequate. We find that theoretical studies which take the effect of the phase transition into account do agree with our experimental data.

Type
Research Article
Copyright
© 1993 Cambridge University Press

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References

Ardron, K. H. & Duffey, R. B. 1978 Acoustic wave propagation in a flowing liquid–vapour mixture. Intl J. Multiphase Flow 4, 303322.Google Scholar
Bikerman, J. J. 1973 Foams. Springer.
Boguslavski, Yu. Ya. 1978 Absorption and dispersion of sound waves in two-phase medium. Sov. Phys. Acoust. 24, 2427.Google Scholar
Borisov, A. A., Borisov, Al. A., Kutatbledze, S. S. & Nakoriakov, V. E. 1983 Rarefaction shock wave near the critical liquid-vapour point. J. Fluid Mech. 126, 5973.Google Scholar
Cartensen, E. L. & Foldy, L. L. 1947 Propagation of sound through a liquid containing bubbles. J. Acoust. Soc. Am. 19, 481501.Google Scholar
Commander, K. W. & Prosperetti, A. 1989 Linear pressure waves in bubbly liquids: comparison between theory and experiments. J. Acoust. Soc. Am. 85, 732746.Google Scholar
Coste, C. 1991 Propagation d'ondes acoustiques dans les mélanges diphasiques liquide/vapeur. PhD thesis, Université Claude Bernard, Lyon.
Coste, C., Laroche, C. & Fauve, S. 1990 Sound propagation in a liquid with vapour bubbles. Europhys. Lett. 11, 343347.Google Scholar
Devin, C. 1959 Survey of thermal, radiation and viscous damping of pulsating air bubbles in water. J. Acoust. Soc. Am. 31, 16541667.Google Scholar
Feldman, C. L., Nydick, S. E. & Kokernak, R. P. 1972 The speed of sound in single-component two-phase fluids: theoretical and experimental. Prog. Heat Mass Transfer 6, 671684.Google Scholar
Finch, R. D. & Neppiras, E. A. 1973 Vapor bubble dynamics. J. Acoust. Soc. Am. 53, 14021410.Google Scholar
Hsieh, D. Y. 1979 On oscillation of vapor bubbles. J. Acoust. Soc. Am. 66, 15141515.Google Scholar
Hsieh, D. Y. 1982 Some aspects of dynamics of bubbly liquids. Appl. Sci. Res. 38, 305312.Google Scholar
Kieffer, S. W. 1977 Sound speed in liquid-gas mixtures: water–air and water–steam. J. Geophys. Res. 82, 28952903.Google Scholar
Kinsler, L. E., Frey, A. R., Coppens, A. B. & Sanders, J. V. 1982 Fundamentals of Acoustics. Wiley.
Kokernak, R. P. & Feldman, C. L. 1972 Velocity of sound in two-phase flow of R12. American Society of Heating, Refrigerating and Air Conditioning Engineers J. 14, 3538.Google Scholar
Kutateladze, S. S., Nakoriakov, V. E. & Borisov, A. A. 1987 Rarefaction waves in liquid and gas-liquid media. Ann. Rev. Fluid Mech. 19, 577600.Google Scholar
Landau, L. & Lifshitz, E. 1959 Sound waves. In Fluid Mechanics, §64. Pergamon.
Mallock, A. 1910 The damping of sound by frothy liquids. Proc. R. Soc. Land. A 84, 391395.Google Scholar
Marston, P. L. 1979 Evaporation-condensation resonance frequency of oscillating vapor bubbles. J. Acoust. Soc. Am. 66, 15151521.Google Scholar
Mecredy, R. C. & Hamilton, L. J. 1972 The effect of nonequilibrium heat, mass and momentum transfer on two-phase sound speed. Intl J. Heat Mass Transfer 15, 6172.Google Scholar
Mecredy, R. C., Wigdortz, J. M. & Hamilton, L. J. 1970 Prediction and measurement of acoustic wave propagation in two-phase media. Trans. Am. Nucl. Soc. 13, 672673.Google Scholar
Minnaert, M. 1933 On musical air bubbles and the sound of running water. Phil. Mag. XVI, 235248.Google Scholar
Morse, P. M. & Ingard, K. U. 1986 Theoretical Acoustics. Princeton University Press.
Nakoriakov, V. E., Pokusaev, B. G. & Schreiber, I. R. 1980 Pressure waves in a liquid with gas or vapour bubbles. In Cavitation and Inhomogeneities (ed. W. Lauterborn), pp. 157163. Springer.
Nakoriakov, V. E., Pokusaev, B. G., Pribaturin, N. A. & Schreiber, I. R. 1984 Acoustics of a liquid containing vapour bubbles. Sov. Phys. Acoust. 30, 480482.Google Scholar
Nigmatulin, R. I. 1991 Dynamics of Multiphase Media. Hemisphere.
Nigmatulin, R. I., Khabeev, N. S. & Zuong Ngok, Hai 1988 Waves in liquids with vapour bubbles. J. Fluid Mech. 186, 85117.Google Scholar
Onuki, A. 1991 Sound propagation in phase-separating fluids. Phys. Rev. A 43, 67406755.Google Scholar
Plesset, M. S. & Prosperetti, A. 1977 Bubble dynamics and cavitation. Ann. Rev. Fluid Mech. 9, 145185.Google Scholar
Plesset, M. S. & Zwick, S. A. 1954 The growth of vapor bubbles in superheated liquids. J. Appl. Phys. 25, 493500.Google Scholar
Prosperetti, A. 1977 Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids. J. Acoust. Soc. Am. 61, 1727.Google Scholar
Prosperetti, A. 1991 The thermal behaviour of oscillating gas bubbles. J. Fluid Mech. 222, 587616.Google Scholar
Silberman, E. 1957 Sound velocity and attenuation in bubbly mixtures measured in standing wave tubes. J. Acoust. Soc. Am. 29, 925933.Google Scholar
Temkin, S. 1990 Attenuation and dispersion of sound in bubbly fluids via the Kramers-Kronig relations. J. Fluid Mech. 211, 6172.Google Scholar
Trammel, G. T. 1962 Sound waves in water containing vapour bubbles. J. Appl. Phys. 33, 16621670.Google Scholar
Wang, T. 1974 Effect of evaporation and diffusion on an oscillating bubble. Phys. Fluids 17, 11211126.Google Scholar