Possibility of using dual frequency to control chaotic oscillations of a spherical bubble

TL;DR

This paper investigates how dual frequency acoustic forcing can reduce chaotic oscillations in spherical bubbles, potentially improving control in applications like sonochemistry and medical procedures.

Contribution

It is the first study to demonstrate that dual frequency forcing can effectively control chaotic bubble oscillations, highlighting the roles of secondary frequency and phase difference.

Findings

Dual frequency reduces chaotic oscillations to regular ones.

Secondary frequency and phase difference significantly influence bubble dynamics.

Dual frequency can generate oscillations with desired amplitudes.

Abstract

Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be controlled. Reducing chaotic oscillations could be the first step in controlling the bubble dynamics by increasing the predictability of the bubble response to an applied acoustic field. One way to achieve this concept is to perturb the acoustic forcing. Recently, due to the improvements associated with using dual frequency sources, this method has been the subject of many studies which have proved its applicability and advantages. Due to this reason, in this paper, the oscillations of a spherical bubble driven by a dual frequency source, were studied and compared to the ones driven by a single source. Results indicated that using dual frequency had a strong impact on reducing the chaotic oscillations to regular ones. The governing parameters influencing its dynamics are the secondary frequency and its phase difference with the fundamental frequency. Also using dual frequency forcing may arm us by the possibility of generating oscillations of desired amplitudes. To our knowledge the investigation of the ability of using a dual frequency forcing to control chaotic oscillations are presented for the first time in this paper.