HYDROACOUSTICS
ANNUAL JOURNAL |
START | NEW VOL 20 | SEARCH | STATISTICS | PAS - GDANSK DIVISION |
pp. 7-12, vol. 15, 2012 Anna Baranowska Gdansk University of Technology, Department of Mathematical and Numerical Analysis, Gdansk, Poland Key words: mathematical model; linear non-dissipative wave; Rayleigh-Plesset equation Abstract: The purpose of the paper was to conduct numerical investigations of the nonlinear wave generation in a layer with uniformly distributed mono-size spherical bubbles. The
mathematical model and examples of results of theoretical studies of this problem are
presented. The mathematical model of the pressure propagation in the bubbly liquid layer is
constructed using the linear non-dissipative wave and the Rayleigh-Plesset equations. The
Commander and Prosperetti model is employed to compute the phase sound speed in the
bubble layer. The spectra of transmitted and reflected waves are studied and the amplitudes
of selected frequency harmonics of these waves examined.
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