Abstract
Radiative interaction between gas bubbles pulsating in an acoustic field is investigated theoretically and numerically. The recent theory for two interacting gas bubbles, due to Ida, predicts the existence of three eigenfrequencies per bubble, which make the phase difference between an external sound and a bubble's pulsation be π/2. Using this theory, we give an alternative interpretation of the reversal of sign of the secondary Bjerknes force, which may be more accurate than those given previously by Zabolotskaya, and Doinikov and Zavtrak. Furthermore, we carry out numerical experiments of two interaction bubbles in order to validate the theoretical results, by employing a modern simulation scheme in which the compressible Navier-Stokes equation with a surface-tension term is used as the governing equation. The numerical results reveal that the theoretical results are accurate and valid, at least in a qualitative sense.
