Collapse of a single bubble in the Shvedov--Bingham fluid under external pulsating pressure / A. A. Shevchuk. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 5. P. 62-64 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
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.