Asymmetricity and sign reversal of secondary Bjerknes force from strong nonlinear coupling in cavitation bubble pairs

Abstract

Most of the current applications of acoustic cavitation use bubble clusters that exhibit multibubble dynamics. This necessitates a complete understanding of the mutual nonlinear coupling between individual bubbles. In this study, strong nonlinear coupling is investigated in bubble pairs which is the simplest case of a bubble-cluster. This leads to the derivation of a more comprehensive set of coupled Keller-Miksis equations (KMEs) that contain nonlinear coupling terms of higher order. The governing KMEs take into account the convective contribution that stems from the Navier-Stokes equation. The system of KMEs is numerically solved for acoustically excited bubble pairs. It is shown that the higher order corrections are important in the estimation of secondary Bjerknes force for closely spaced bubbles. Further, asymmetricity is witnessed in both magnitude and sign reversal of the secondary Bjerknes force in weak, regular, and strong acoustic fields. The obtained results are examined in the light of published scientific literature. It is expected that the findings reported in this paper may have implications in industries where there is a requirement to have a control on cavitation and its effects.

arXiv comment21 pages, 3 eps figures, 1 table

References in corpus (10)

• Third order equations of motion and the Ostrogradsky instability
• On acoustic cavitation of slightly subcritical bubbles
• Bubble-bubble interaction: A potential source of cavitation noise
• Multibubble cavitation inception
• Alternative interpretation of the sign reversal of secondary Bjerknes force acting between two pulsating gas bubbles
• Manipulating bubbles with secondary Bjerknes forces
• Asymmetricity and sign reversal of secondary Bjerknes force from strong nonlinear coupling in cavitation bubble pairs
• Effect of charge on the dynamics of an acoustically forced bubble
• Avoided crossings in three coupled oscillators as a model system of acoustic bubbles
• Oscillatory dynamics of a charged microbubble under ultrasound

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• Nonlinear dynamics of acoustic bubbles excited by their pressure dependent subharmonic resonance frequency: oversaturation and enhancement of the subharmonic signal
• Notes on the two main routes of period doubling and 1/2 order subharmonic oscillations in a bubble oscillator
• Machine learning models for the secondary Bjerknes force between two insonated bubbles