Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T08:44:00.367Z Has data issue: false hasContentIssue false

Vapour-bubble growth in a superheated liquid

Published online by Cambridge University Press:  12 April 2006

Andrea Prosperetti
Affiliation:
Istituto di Fisica, Università degli Studi, Milan, Italy
Milton S. Plesset
Affiliation:
Engineering Science Department, California Institute of Technology, Pasadena

Abstract

It is shown that the approximation of a thin thermal boundary layer gives an accurate description of the growth of spherical vapour bubbles in a superheated liquid except for very small superheats. If the further approximations of a linear variation of vapour pressure with temperature and of constant physical properties are made, then scaled variables can be introduced which describe the growth under any conditions. This scaled description is not valid during the early, surface-tension dominated, portion of the growth. The rate of bubble growth for large superheats is somewhat overestimated in the intermediate stage in which both inertial and thermal effects play a role. This overestimate does not lead to a serious error in the radius-time behaviour for ranges of practical interest. The asymptotic, or thermally controlled, stage of growth is accurately described by the scaled formulation.

Type
Research Article
Copyright
© 1978 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bankoff, S. G. 1964 Asymptotic growth of a bubble in a liquid with uniform initial superheat. Appl. Sci. Res. A 12, 267281.Google Scholar
Birkhoff, G., Margulies, R. S. & Horning, W. A. 1958 Spherical bubble growth. Phys. Fluids 1, 201204.Google Scholar
Dalle Donne, M. & Ferranti, M. P. 1975 The growth of vapor bubbles in superheated sodium. Int. J. Heat Mass Transfer 18, 477493.Google Scholar
Hsieh, D. Y. 1965 Some analytical aspects of bubble dynamics. J. Basic Engng, A.S.M.E. D 87, 9911005.Google Scholar
Mikic, B. B., Rohsenow, W. M. & Griffith, P. 1970 On bubble growth rates. Int. J. Heat Mass Transfer 13, 657666.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. 1952 A nonsteady heat diffusion problem with spherical symmetry. J. Appl. Phys. 23, 9598.Google Scholar
Plesset, M. S. & Zwick, S. A. 1954 The growth of vapor bubbles in superheated liquids. J. Appl. Phys. 25, 493500.Google Scholar
Plesset, M. S. & Zwick, S. A. 1955 On the dynamics of small vapor bubbles in liquids. J. Math. Phys. 33, 308330.Google Scholar
Rohsenow, W. M. 1971 Boiling. Ann. Rev. Fluid Mech. 3, 211236.Google Scholar
Scriven, L. E. 1959 On the dynamics of phase growth. Chem. Engng Sci. 10, 113.Google Scholar
Theofanous, T., Biasi, L., Isbin, H. S. & Fauske, H. 1969 A theoretical study of bubble growth in constant and time-dependent pressure fields. Chem. Engng Sci. 24, 885897.Google Scholar
Theofanous, T. G. & Patel, P. D. 1976 Universal relations for bubble growth. Int. J. Heat Mass Transfer 19, 425429.Google Scholar
Zuber, N. 1961 The dynamics of vapor bubbles in non-uniform temperature fields. Int. J. Heat Mass Transfer 2, 8398.Google Scholar
Zwick, S. A. 1960 The growth of vapor bubbles in a rapidly heated liquid. Phys. Fluids 3, 685692.Google Scholar