Dynamics and noise radiation of multiple bubbles in compressible fluid using boundary integral equation
Abstract
Purpose
The purpose of this paper is to research the interaction between multiple bubbles and their noise radiation considering the influence of compressibility. The influences of bubble spacing, initial inner pressure, buoyance and phase difference are presented with different bubbles arrangements.
Design/methodology/approach
Based on wave equation, the new boundary integral equation considering the compressibility is given by the matching between prophase and anaphase approximation of bubble motion and solved with boundary element method. The time-domain characteristics of noise induced by multiple bubbles are obtained by the moving boundary Kirchhoff integral equation. With the surface discretization and coordinate transformation, the bubbles surface is treated as a moving deformable boundary and noise source, and the integral is implemented on the surface directly.
Findings
Numerical results show the manner of jet generation will be affected by the phase difference between bubbles. With the increasing of phase difference, the directive property of noise becomes obvious. With the enlargement of initial inner pressure, the sound pressure will arise at the early stage of expanding, and the increasing of buoyance parameter will reduce the sound pressure after the generation of jet. Since the consideration of compressibility, the oscillation amplitude of bubbles will be weakened.
Originality/value
The paper could provide the reference for the research about the dynamics and noise characteristics of multiple bubbles in compressible fluid. And the new method based on boundary integral equation to simulate the multiple bubbles motion and noise radiation is presented.
Keywords
Acknowledgements
This work is supported by NSFC (51279038), and National Defense Basic Scientific Research Program of China (B2420133001). The authors are also grateful to Prof Zhang Aman in Harbin Engineering University for his help in the building of numerical model.
Citation
Ye, X., Sun, L. and Pang, F. (2015), "Dynamics and noise radiation of multiple bubbles in compressible fluid using boundary integral equation", Engineering Computations, Vol. 32 No. 3, pp. 885-913. https://doi.org/10.1108/EC-01-2014-0007
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited