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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 5, Pages 62–64 (Mi vmumm535)

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Collapse of a single bubble in a Shvedov–Bingham fluid under pulsating external pressure

A. A. Shevchuk

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Numerical and analytical study of the behavior of a spherical bubble in an ideal fluid, a viscous medium and an incompressible viscoplastic medium with a yield strength under time-varying periodic pressure at a sufficient distance from the surface of the bubble is carried out. Different modes of collapse are examined and classified. The critical values of the key parameters that characterize the behavior of the system (one of them is the dimensionless frequency of external pressure) are found.

Key words: spherical cavity, bubble, dynamics, Rayleigh problem, Zababakhin problem, compression, viscoplastic medium, yield limit.

UDC: 532.528+539.374

Received: 13.02.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2012, 67:5-6, 131–133

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