Abstract
A theoretical model for the dynamics of two coupled bubbles is presented for the situation that the sizes of bubbles are comparable with the radius of tubes. The acoustical response depends on the coupled oscillations of the system composed by bubbles plus liquid columns within microtubules. The resonance frequencies and amplitudes of linear oscillating bubbles may be affected by the initial conditions of bubbles, the sizes of microtubules, the relative positions of bubbles, etc. The nonlinear properties of acoustical response are analyzed by succession-level approximation method, and the amplitude-driving frequency relations for fundamental, the third and one third harmonic oscillations are obtained for the two limited cases, ignoring the viscous effects ( bv =0) and symmetry systems. The numerical results have shown that the energy transfer from fundamental frequency oscillations to harmonic and sub-harmonic oscillations may be enhanced by the nonlinear effect, interaction of bubbles and viscosity of medium.
Published Version
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