Numerical Investigation of the Effect of Bubble-Bubble Interaction on the Power of Propagated Pressure Waves

The study of bubble dynamics, especially the interaction of bubbles, has drawn considerable attention due to its various applications in engineering and science. Meanwhile, the study of the oscillation effect of a bubble on the emitted pressure wave of another bubble in an acoustic field which has less been investigated. This issue is investigated in the present study using the coupling of Keller-Miksis and Gilmore models. The ordinary differential equations are solved using MATLAB software and Runge-Kutta forth order method with the adaptive step size control. The results show the dependence of bubbles behavior and the strength of their pressure waves on two parameters of the initial radius and the bubbles center-to-center distance. As the initial radius of the adjacent bubble grows, its effect on the other bubble increases and causes a reduction in the other bubble maximum radius, wall velocity, internal pressure, and emitted pressure wave intensity. However, increasing the initial distance of the bubbles reduces the effect of the bubbles on each other and causes their behaviors become closer to the single-bubble oscillation mode.

Keywords:

Bubble dynamics , Nonlinear oscillation , Mutual interaction , Pressure wave , Shock wave