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On equations of dynamics of bubbly liquids

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Bubble Dynamics and Interface Phenomena

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 23))

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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.

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  • 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.

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  • Iordanskii S.V. On equations of motion for a liquid containing gas bubbles. PMTF (1960) N 3.

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  • Kogarko B.S. (1961) On a model of a cavitating liquid. DAN USSR ,1961, Vol.137, N 6.

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  • Nigmatulin R.I. (1978). Fundamentals of Mechanics of Heterogeneous Media. Moscow, Nauka, 1978, 336 pp.

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  • Nigmatulin R.I. (1991). Dynamics of Multiphase Media. Vol.1,2. Hemisphere, 1991.

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  • Nigmatulin R.I., Khabeev N.S., Zuong Ngok Khai. Waves in liquid with vapour bubbles. J. Fluid Mech., 1988, Vol. 186.

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  • Nigmatulin R.I., Shagapov V.Sh. Structure of shock waves in a liquid with gas bubbles. Izv. AN USSR,MZhG, 1974, N 6.

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  • 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

  • Print ISBN: 978-94-010-4404-2

  • Online ISBN: 978-94-011-0938-3

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