ABSTRACT

In this thesis, mathematical models based on the mass and momentum conservations for spherical acoustic bubble oscillations at infinite fluid including Rayleigh-Plesset equation and Keller-Miksis equation as well as inside spherical liquid-filled elastic solid have been reviewed and analysed.

The exact solution of the linearisation and the numerical solution of the governing equations have been derived and compared. Then parametric calculations are performed to investigate the effects of compressibility, viscosity, surface tension, pressure amplitude and dual frequency.

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