Abstract

An analytical method is developed to calculate both the amplitude and phase of an oscillating bubble in a liquid subjected to an acoustic field. Thermal conduction, viscosity, surface tension, and liquid compressibility are all taken into account. Analytical solutions, which are valid for small-amplitude oscillations, are also obtained for the temperature, density and velocity of the gas inside the bubbles. The mean bubble size and acoustic frequency which give the resonat amplitudes of pulsating bubbles are disclosed.

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