Abstract
An analytical model has been presented previously for the interaction between a spherical bubble and a spherical particle [e.g., Hay and Hamilton, J. Acoust. Soc. Am. 120, (2006)]. The present work extends this model to the case of a cluster of spherical bubbles and particles that are free to pulsate and translate. The bubbles and particles may be of arbitrary size, the particles may be elastic or rigid, and the external acoustic source excitation is included to an order consistent with the accuracy of the model. Effects of liquid compressibility are included in the equations of radial motion, and bubble coalescence is taken into account according to a set of conservation relations. Numerical simulation results will be presented for a number of cluster configurations and source excitations relevant to practical applications, such as shock wave lithotripsy. [Work supported by the NSF Graduate Research Fellowship.]
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