Abstract

In one-dimensional approximation, the approach was developed to simulate the regime of stationary behavior (groves, collapse, and rebounc-ing) for a gas-filled single bubble located in the center of a spherical water-filled vessel under an external resonant periodic sound field. The simulations were performed for realistic equations of state for water and gas (air or argon), with identification of the shock wave in the bubble, with account of surface tension on the water–gas interface, and heat conduction for the matter in the bubble (molecular and radiative). The bubble radius dependence versus time was obtained for varying external conditions: amplitude and frequency of acoustic field, temperature of water, and magnitude of surface tension. Calculated parameters for a stationary bubble (pressure in bubble vicinity, minimal and stationary radii of bubble) were demonstrated to show a good agreement with experimental data. [Work supported by CRDF.]

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