Cylindrical bubble dynamics in triple-frequency acoustic field

IF 2.5 3区工程技术 Journal of Hydrodynamics Pub Date : 2024-11-22 DOI:10.1007/s42241-024-0068-9

Jia-xin Yu, Zhi-hao Liu, Jin-sen Hu, Xiao-yu Wang, Xiang-qing Zhang, Jun-wei Shen, Yu-ning Zhang

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Abstract

In this paper, the dynamic characteristics of the cylindrical bubbles under triple-frequency acoustic excitation are investigated theoretically. The analytical solution of the primary-superharmonic-subharmonic (PRI-SUPER-SUB) simultaneous resonance is obtained through the multi-scale method. Based on the analysis of the frequency response, the influencing mechanisms of the primary parameters (e.g., the total amplitude, amplitude ratio, liquid viscosity, polytropic exponent, and bubble equilibrium radius) on the resonance are investigated quantitatively. The main conclusions include: (1) The solution for the simultaneous resonance of the cylindrical bubble exhibits jumping and hysteresis phenomena in the vicinity of the resonance frequency. (2) As the total amplitude, amplitude ratio, and equilibrium radius increase, the response amplitude of the PRI-SUPER-SUB simultaneous resonance increases, while the influence of the viscosity is the opposite. (3) The regions dominated by the instability of the simultaneous resonance is significantly affected by the system parameters.

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三频声场中的圆柱气泡动力学

本文从理论上研究了三频声激励下圆柱形气泡的动态特性。通过多尺度方法得到了一次-超谐波-次谐波（PRI-SUPER-SUB）同步共振的解析解。在频率响应分析的基础上，定量研究了总振幅、振幅比、液体粘度、多向指数、气泡平衡半径等主要参数对共振的影响机理。主要结论包括：(1)圆柱泡同步共振解在共振频率附近出现跳变和滞后现象。(2)随着总幅值、幅值比和平衡半径的增大，PRI-SUPER-SUB同步共振的响应幅值增大，而粘度的影响则相反。(3)系统参数对同步共振失稳占主导地位的区域影响显著。

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来源期刊

Journal of Hydrodynamics MECHANICS-

自引率

12.00%

发文量

2374

审稿时长

4.6 months

期刊介绍： Journal of Hydrodynamics is devoted to the publication of original theoretical, computational and experimental contributions to the all aspects of hydrodynamics. It covers advances in the naval architecture and ocean engineering, marine and ocean engineering, environmental engineering, water conservancy and hydropower engineering, energy exploration, chemical engineering, biological and biomedical engineering etc.