The influence of the surface tension of the liquid on bubble’s acoustic scattering

Abstract

In this situation, the influence of surface tension of liquid on the bubble’s acoustic scattering is studied when the surface tension of liquid is equivalent to the static pressure of liquid. The continuity equation of velocity and pressure in the bubble’s surface is established, and the bubble’s surface tension of liquid is introduced into the continuity equation. We got the scattering coefficient and the scattering sound power of a single bubble in a symmetric vibration mode, and further deduced the equivalent incident sound field in the case of multi-bubble conditions. Numerical analysis shows that spherical bubble radius is about 10-6m when the surface tension equivalent to the liquid static pressure, in this case, the influence of bubble’s surface tension of liquid on the scattering coefficient and the scattering sound power of the single bubble can be shown when the angular frequency of the driving acoustic pressure is less than 105 rad/s. In the case of multiple bubbles, it will have a greater impact on the sound pressure amplitude of the equivalent incident sound field. While the influence will not appear clearly if the angular frequency of the driving acoustic pressure is bigger than 105 rad/s. For the acoustic scattering problem of bubbles, it bases on the specific issue to choose whether the surface tension of liquid should be taken into consideration.