Skip to main content
SpringerLink
Log in

Bubble dynamics: a review and some recent results

  • Part Four: Bubble Dynamics
  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

Several aspects of small-amplitude oscillations of bubbles containing gas, vapor, or a gas-vapor mixture are discussed. An application to pressure-wave propagation in a bubbly liquid is described. Nonlinear forced oscillations are considered in the light of recent research on forced oscillations of nonlinear systems. The growth of vapor bubbles, an extension of the Rayleigh-Plesset equation to non-Newtonian liquids and appreciable mass transfer at the interface, and a boundary integral numerical method for nonspherical cavitation bubble dynamics are also briefly discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Apfel RE (1980) Some new results on cavitation threshold prediction and bubble dynamics. In Lauterborn W (ed) Cavitation and inhomogeneities in underwater acoustics, pp 79–83. New York: Springer.

    Google Scholar 

  2. Borotnikova MI and Soloukhin EI (1964) A calculation of the pulsations of gas bubbles in an incompressible liquid subject to a periodically varying pressure. Sov Phys Acoust 10: 28–32.

    Google Scholar 

  3. Bykovtsev GI and Rozarenov GS (1975) Pulsation of a spherical bubble in an incompressible fluid. Fluid Dyn Sov Res 10: 322–324.

    Google Scholar 

  4. Cramer E (1980) The dynamics and acoustic emission of bubbles driven by a sound field. In Lauterborn W (ed) Cavitation and inhomogeneities in underwater acoustics, pp 54–63. New York: Springer.

    Google Scholar 

  5. Crum LA (1980) Measurements of the growth of air bubbles by rectified diffusion. J Acoust Soc Am 68: 203–211.

    Google Scholar 

  6. Eller AI (1972) Bubble growth by gas diffusion in an 11-kHz sound field. J Acoust Soc Am 52: 1447–1449.

    Google Scholar 

  7. Epstein PS and Plesset MS (1950) On the stability of gas bubbles in liquid-gas solutions. J Chem Phys 18: 1505–1509. Erratum, ibid. 19: 256.

    Google Scholar 

  8. Fanelli M, Prosperetti A and Reali M (1981) Radial oscillations of gas-vapor bubbles in liquids. Part I: Mathematical formulation. Acustica 47: 253–265.

    Google Scholar 

  9. Fanelli M, Prosperetti A and Reali M (1981) Radial oscillations of gas-vapor bubbles in liquids. Part II: Numerical examples. Acustica 49 (2).

  10. Fanelli M, Prosperetti A and Reali M (1981) The propagation of linear pressure waves in a bubbly liquid. J Acoust Soc Am (submitted).

  11. Foldy LL (1945) The multiple scattering of waves. Phys Rev 67: 107–119.

    Google Scholar 

  12. Gould RK (1974) Rectified diffusion in the presence of, and absence of, acoustic streaming. J Acoust Soc Am 56: 1740–1746.

    Google Scholar 

  13. Harper JF (1981) Surface activity and bubble motion (these Proceedings).

  14. Hsieh DY (1979) On oscillating vapor bubbles. J. Acoust Soc Am 66: 1514–1515.

    Google Scholar 

  15. Keller A (1972) The influence of cavitation nucleus spectrum on cavitation inception, investigated with a scattered light counting method. J Basic Eng 94: 917–925.

    Google Scholar 

  16. Lastman GH and Wentzell RA (1981) Comparison of five models of spherical bubble response in an inviscid compressible liquid. J Acoust Soc Am 69: 638–642.

    Google Scholar 

  17. Lauterborn W (1976) Numerical investigation of nonlinear oscillations of gas bubbles in liquids. J Acoust Soc Am 59: 283–293.

    Google Scholar 

  18. Lauterborn W and Bolle H (1975) Experimental investigation of cavitation bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech 72: 391–399.

    Google Scholar 

  19. Marston PL (1979) Evaporation-condensation resonance frequency of oscillating vapor bubbles. J Acoust Soc Am 66: 1516–1521.

    Google Scholar 

  20. Plesset MS and Chapman RB (1971) Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary. J. Fluid Mech 47: 283–290.

    Google Scholar 

  21. Prosperetti A (1975) Nonlinear oscillations of gas bubbles in liquids: transient solutions and the connection between subharmonic signal and cavitation. J Acoust Soc Am 57: 810–821.

    Google Scholar 

  22. Prosperetti A (1977) Application of the subharmonic threshold to the measurement of the damping of oscillating gas bubbles. J Acoust Soc Am 61: 11–16.

    Google Scholar 

  23. Prosperetti A (1977) Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids. J Acoust Soc Am 61: 17–27.

    Google Scholar 

  24. Prosperetti A (1981) A generalization of the Rayleigh-Plesset equation of bubble dynamics. Phys Fluids (in press).

  25. Prosperetti A and Plesset MS (1978) Vapor bubble growth in a superheated liquid. J Fluid Mech 85: 349–368.

    Google Scholar 

  26. Rath HJ (1980) Free and forced oscillations of soherical gas bubbles and their translational motion in a compressible fluid. In Lauterborn W (ed) Cavitation and inhomogeneities in underwater acoustics, pp 64–71. New York: Springer.

    Google Scholar 

  27. Silberman E (1957) Sound velocity and attenuation in bubbly mixtures measured in standing wave tubes. J Acoust Soc Am 29: 925–933.

    Google Scholar 

  28. Skinner LA (1970) Pressure threshold for acoustic cavitation. J Acoust Soc Am 47: 327–331.

    Google Scholar 

  29. Skinner LA (1972) Acoustically induced gas bubble growth. J Acoust Soc Am 51: 378–382.

    Google Scholar 

  30. Wang T (1974) Effects of evaporation and diffusion on an oscillating bubble. Phys Fluids 17: 1121–1126.

    Google Scholar 

  31. Waterman PC and Truell R (1961) Multiple scattering of waves. J Math Phys 2: 512–537.

    Google Scholar 

  32. Yount DE and Yeung CM (1981) Bubble formation in supersaturated gelatin: a further investigation of cavitation nuclei. J Acoust Soc Am 69: 702–708.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica, Universitá degli Studi, 20133, Milano, Italy

    Andrea Prosperetti

Authors
  1. Andrea Prosperetti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prosperetti, A. Bubble dynamics: a review and some recent results. Applied Scientific Research 38, 145–164 (1982). https://doi.org/10.1007/BF00385945

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00385945

Keywords

Search

Navigation