Abstract
The exact solution of a gas bubble’ volume was obtained based on volume oscillation of a gas bubble. The volume pulsation, acoustic impedance, scattering pressure of a gas bubble, acoustical power of scattering and acoustical scattering cross section of a single bubble are researched in a small amplitude acoustic field. The results show that a big bubble oscillates more violently than that of a small bubble in a weak acoustic field if the linear resonance does not happen. The occurrence of a linear resonance response of a single bubble leads to the volume oscillation and the scattering ability of a gas bubble become stronger. Additionally, the scattering cross section does not depend on the driving pressure. The amplitude of scattering pressure of a big bubble can reach the magnitude compared to the driving pressure when the resonance response occurs.
Highlights
Under radiation of acoustic waves, a gas bubble will oscillate
The results show that if the driving frequency is smaller than the linear resonance frequency of a gas bubble, the scattering pressure of the bubble increases with the increasing of the driving pressures
When the driving frequency is equal to the linear resonance frequency of a gas bubble, the acoustical scattering cross section of this bubble gets to the maximum
Summary
Under radiation of acoustic waves, a gas bubble will oscillate. During the oscillation of a gas bubble, a diverging spherical wave can be emitted and radiation pressure can be generated within the liquids. Because of effect of bubbles, the parameters of acoustic propagation such as acoustic impedance and acoustic attenuation coefficient are changed in liquids [1]. The results showed that the surface tension on the scattering coefficient of bubbles is obvious when the acoustic power is big enough. Based on the volume oscillation of a gas bubble, we can get the simple and accurate results. This is a big advantage for researching the acoustical scattering of a gas bubble in a small
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