Abstract

Started from the bubble dynamics, establish a double bubble in the external field under the action of the equations of motion of bubbles, the interaction was studied. Research results show that: considered the interaction between bubbles, bubble movement equation, resonance frequency, resonance when the radius of the changes was significantly associated with a single bubble is different, these parameters not only with their initial bubble radius, and sound intensity, liquid viscosity and other factors are also associated with the distance between them and the relative of another bubble initial radius. When the bubble radius is large, the mutual influence between them more strong. The result is that the effect of vibration reduction. Study finds: the bubble resonance frequency and the distance between them, with the increase of the distance between air bubbles, the resonant frequency in decreasing. But when the distance between them is increased to a certain value, the resonance frequency tends to a certain value. It can also be understood as when the bubble is relatively far from the interactions between them on its influence can be neglected, the resonant frequency of the resonant frequency for single bubble. For a harmonic oscillator are radius variation, between the two bubbles is the role of mutual inhibition, but the bubble radius is different, this inhibition of strong and weak, different. Bubble initial radius identical bubbles, mutual inhibition is weaker, numerical calculation shows the same radius of the resonance radius greater than the radius of the results.

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