Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (2): 177-190.doi: https://doi.org/10.1007/s10483-014-1782-6

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Acoustic radiation induced by bubble motion in compressible fluid

叶曦 庞福振 张阿漫   

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China
  • 收稿日期:2012-11-08 修回日期:2013-05-14 出版日期:2014-02-27 发布日期:2014-02-18

Acoustic radiation induced by bubble motion in compressible fluid

 YE Xi, PANG Fu-Zhen, ZHANG A-Man   

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China
  • Received:2012-11-08 Revised:2013-05-14 Online:2014-02-27 Published:2014-02-18

摘要: Based on the theory of compressible fluid, a three-dimension boundary element method is utilized to research the motion of bubble. The far-field noise radiation during the growth and contraction is calculated by the Kirchhoff formula and the Ffowcs Williams-Hawkings (FW-H) formula with a fixed radiation surface being arranged at the near-field of bubble as a new acoustic source. The results show that the amplitude of the sound pressure induced by non-spherical bubble is lower than that of spherical bubble in the contraction phase. The retardance effect is more obvious when the observer is farther away from the bubble. In the anaphase of contraction, the observer with the maximum amplitude of sound pressure moves up with the obvious jet. Larger buoyance parameters will generate lower sound pressure amplitudes in the anaphase, while larger intensive parameters will cause higher sound pressure amplitudes in the whole procedure of bubble motion.

关键词: 横向应力, 层合板, 粘弹性, compressible, boundary element method, non-spherical bubble, far-field acoustic radiation, three-dimension, 分层理论

Abstract: Based on the theory of compressible fluid, a three-dimension boundary element method is utilized to research the motion of bubble. The far-field noise radiation during the growth and contraction is calculated by the Kirchhoff formula and the Ffowcs Williams-Hawkings (FW-H) formula with a fixed radiation surface being arranged at the near-field of bubble as a new acoustic source. The results show that the amplitude of the sound pressure induced by non-spherical bubble is lower than that of spherical bubble in the contraction phase. The retardance effect is more obvious when the observer is farther away from the bubble. In the anaphase of contraction, the observer with the maximum amplitude of sound pressure moves up with the obvious jet. Larger buoyance parameters will generate lower sound pressure amplitudes in the anaphase, while larger intensive parameters will cause higher sound pressure amplitudes in the whole procedure of bubble motion.

Key words: viscoelastic, layerwise theory, transverse stress, laminated plate, compressible, boundary element method, non-spherical bubble, far-field acoustic radiation, three-dimension

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