Abstract
The condensational collapse of a spherical vapor bubble moving translationally through an unbounded incompressible liquid is investigated. The bubble moves at a varying velocity. The problem is solved within the framework of the axisymmetric formulation. The numerical investigation shows that the variability of the bubble rise velocity significantly affects the condensational collapse process. This effect is particularly prominent in the final stage, i.e., in the stage of thermal collapse. The results obtained agree well with the experimental data.
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References
O. V. Voinov and A. G. Petrov, “The motion of bubbles in a liquid,” in:Progress in Science and Technology [in Russian], All-Union Institute of Scientific and Technical Information. Fluid Mechanics (1976), p. 86.
D. D. Wittke and B. T. Chao, “Collapse of vapor bubbles with translatory motion,”Trans. ASME,C89, 17 (1967).
V. G. Levich,Physicochemical Hydrodynamics [in Russian], USSR Academy of Sciences Press, Moscow (1952).
R. I. Nigmatulin,Dynamics of Multiphase Media, Part I [in Russian], Nauka, Moscow (1987).
R. I. Nigmatulin and N. S. Khabeev, “Vapor bubble dynamics,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 59 (1975).
R. R. Sagitov and N. S. Khabeev, “Effect of flow around a vapor bubble on its condensational collapse,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 85 (1989).
D. W. Peaceman and H. H. Rachford, “The numerical solution of parabolic and elliptic differential equations,”J. SIAM,3, 28 (1955).
I. M. Osman and Yilmaz Akgunay, “Rise velocity and collapse height of bubbles condensing in water,” J. Sci. and Technol. Marmara Univ. No. 6, 299 (1989).
N. B. Vargaftik,Handbook of the Thermophysical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).
Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 109–115, May–June, 1994.
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Zolovkin, N.A., Negmatov, N.D. & Khabeev, N.S. Heat and mass transfer of an individual vapor bubble in translational flow of an unbounded liquid volume. Fluid Dyn 29, 386–391 (1994). https://doi.org/10.1007/BF02230773
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DOI: https://doi.org/10.1007/BF02230773