The decay of bubble oscillations

Physics of Fluids

Volumn 10, Issue 12, 1998, Pages 3227-3229

  Roberts, P H ^a   Wu, C C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000720191     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869850     Document Type: Article

References (11)

1. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
2. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
3. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
4. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
5. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
6. Lord Kelvin, Mathematical Papers (Clay & Sons, London, England, 1890), Vol. 3, pp. 384-386; Lord Rayleigh, The Theory of Sound, 2nd ed. (Macmillan, London, 1894; reprinted by Dover, New York, 1945); H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1940), p. 640; S. Chandrasekhar, "The oscillations of a viscous liquid globe," Proc. London Math. Soc. 9, 141 (1959); W. H. Reid, "The oscillations of a viscous liquid drop," Quart. Appl. Math. 18, 86 (1960); S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), p. 466.
7. A. Prosperetti, "Viscous effects on perturbed spherical flows," Q. Appl. Math. 34, 339 (1977).
8. A. Prosperetti, "Free oscillations of drops and bubbles: the initial-value problem," J. Fluid Mech. 100, 333 (1980).
9. See, for example, Sec. 126 of H. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics, 2nd ed. (Oxford University Press, Oxford, 1948; reprinted by Dover, New York, 1963).
10. C. C. Wu and P. H. Roberts, "Bubble shape instability and sonoluminescence," submitted to Phys. Lett.
11. M. P. Brenner, D. Lohse, and T. F. Dupont, "Bubble shape oscillations and the onset of sonoluminescence," Phys. Rev. Lett. 75, 954 (1995).