Abstract
The paper presents the analysis of equations and corresponding formulations for a twophase liquid-and-bubbly gas mixture. The analysis is based upon the already recognized two-phase continual model which takes into account deformational inertia either of medium compression or expansion due to radially attached small-scale liquid mass around the bubbles (Iordanskii, 1960; Kogarko, 1961; Wijngaarden, 1972; Nigmatulin, Shagapov, 1974; Nigmatulin, 1978, 1991; Beyligh, Gülhan, 1990).
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References
Beyligh A.E., Gülhan A. On the structure of non-linear waves in liquids with gas bubbles. Phys. Fluids. A2 (8). Aug.1990.
Gubaidulin A.A., Ivandaev A.I., Nigmatulin R.I. Investigation of nonstationary shock waves in gas-liquid mixtures of bubbly structure. PMTF, 1978, N 2, pp.78–86.
Iordanskii S.V. On equations of motion for a liquid containing gas bubbles. PMTF (1960) N 3.
Kogarko B.S. (1961) On a model of a cavitating liquid. DAN USSR ,1961, Vol.137, N 6.
Nigmatulin R.I. (1978). Fundamentals of Mechanics of Heterogeneous Media. Moscow, Nauka, 1978, 336 pp.
Nigmatulin R.I. (1991). Dynamics of Multiphase Media. Vol.1,2. Hemisphere, 1991.
Nigmatulin R.I., Khabeev N.S., Zuong Ngok Khai. Waves in liquid with vapour bubbles. J. Fluid Mech., 1988, Vol. 186.
Nigmatulin R.I., Shagapov V.Sh. Structure of shock waves in a liquid with gas bubbles. Izv. AN USSR,MZhG, 1974, N 6.
Wijngaarden L. van (1972). One-dimensional flow of liquids containing small gas bubbles. Ann.Rev.Fluid Mech., 1972, vol.4, pp. 369–396.
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© 1994 Springer Science+Business Media Dordrecht
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Nigmatulin, R.I. (1994). On equations of dynamics of bubbly liquids. In: Blake, J.R., Boulton-Stone, J.M., Thomas, N.H. (eds) Bubble Dynamics and Interface Phenomena. Fluid Mechanics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0938-3_11
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DOI: https://doi.org/10.1007/978-94-011-0938-3_11
Publisher Name: Springer, Dordrecht
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