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Development of the experimental apparatus for a cluster of oscillating cavitation bubbles in pressure fields

Research Project

Project/Area Number 03555038
Research Category

Grant-in-Aid for Developmental Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

AKAMATSU Teruaki  Kyoto Univ., Faculty of Eng., Professor, 工学部, 教授 (40025896)

Co-Investigator(Kenkyū-buntansha) TAMAGAWA Masaaki  Kyoto Univ., Faculty of Eng., Instructor, 工学部, 助手 (80227264)
TAKAHIRA Hiroyuki  Kyoto Univ., Faculty of Eng., Instructor, 工学部, 助手 (80206870)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥8,300,000 (Direct Cost: ¥8,300,000)
Fiscal Year 1992: ¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1991: ¥6,200,000 (Direct Cost: ¥6,200,000)
KeywordsCavitation / Bubble cluster / Nonlinear oscillation / Chaos / Bifurcation / Shock wave / Micro-jet / Piezoelectric ceramics / 相関次元 / キャビテ-ション / 変形 / フラクタル / レ-ザ
Research Abstract

1. Focussing pressure wave generators and plane pressure wave generators are developed. The focussing pressure wave generator is constituted by two circular piezoelectric ceramics, an acoustic lens and a rod. Adequate choices of the voltage and wave form applied to the ceramics make it possible to create a bubble cluster near the focus of the lens. The dynamics of the bubble cluster in oscillatory pressure fields are observed through high speed photographs and laser and pressure measurements. The following results are obtained: (1) Individual bubbles oscillate with surface deformation; (2) Transmitted light scattered by the bubble takes a chaotic behavior; (3) The pressure variation near the bubbles takes a period-doubling bifurcation and comes to chaos. The correlation dimension in the chaotic state is less than three.
2. Governing equations of a cluster of bubbles in an incompressible and viscous liquid are obtained by taking account of the translational motion and the deformation of … More each bubble which are induced by the interactions of the bubbles. Governing equations of a cluster of interacting spherical bubbles in a compressible liquid are also obtained. It is shown that the bubbles in oscillatory pressure fields take a period-doubling bifurcation and come to chaos with the increase of the pressure amplitude. The bubble interactions suppress the independent motions of the individual bubbles, and thereby the correlation dimension of the oscillations of the bubbles is less than three. These results support the experimental ones.
3. The Arbitrary-Lagrangian-Eulerian (ALE) method is used to simulate the interaction between a bubble and an incident shock wave. The numerical results are obtained as follows: (1) When the pressure of the incident shock wave, p_0, is high, a liquid micro-jet occurs the early stage of the collapse; (2) Although the velocity of the liquid micro-jet increases with the increase of p_0, the jet velocity saturates at about p_0=10MPA; (3) The state of the gas inside the bubble is regarded as uniform when p_0 is litter than about 1MPa. However, a shock wave is found inside the bubble when p_0 is greater than about 100MPa. Less

Report

(3 results)
  • 1992 Annual Research Report   Final Research Report Summary
  • 1991 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] Hiroyuki TAKAHIRA: "A Theoretical Study on the Dynamics of a Cluster of Bubbles" Proceedings of Covitation '91 Symposium. FED-Vol.116. 11-18 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 山根 総一郎: "球形気泡群の非線形振動とカオス" 日本機械学会関西支部第67期定時総会講演会講演論文集. NO.924-2. 25-27 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "音場中における気泡群の挙動" 日本機械学会関西支部第67期定時総会講演会講演論文集. NO.924-2. 28-30 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "液体中での気泡群の力学(第1報,理論解析)" 日本機械学会論文集(B編). 58巻548号. 1267-1274 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "液体中での気泡群の力学(第2報,数値解析)" 日本機械学会論文集(B編). 58巻548号. 1275-1282 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "気泡群の崩壊(初期半径の影響)" 日本機械学会流体工学部門講演会講演論文集. NO.920-68. 234-236 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "気泡振動とカオス" 日本学術会議キャビテーションに関するシンポジウム(第7回). 1巻. 77-82 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 増渕 寿: "ALE法を用いた気泡崩壊に関する数値解析" 日本学術会議キャビテーションに関するシンポジウム(第7回). 1巻. 83-87 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Hiroyuki TAKAHIRA: "Some Analytical Aspects on the Dynamics of a Cluster of Bubbles" Proceedings of the Third International Symposium on Cavitation. Vol.1. 9-15 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 増渕 寿: "ALE法を用いた気泡変形に関する数値解析" 日本機械学会関西支部第68期定時総会講演会講演論文集. No.934-2. 34-36 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 佐藤 英一郎: "音場中における気泡のカオス的な挙動" 日本機械学会関西支部第68期定時総会講演会講演論文集. No.934-2. 37-39 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "音場中での気泡群の非線形振動(分岐構造)" 日本機械学会論文集(B編). 59巻561号. (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, T. Akamatsu and S. Fujikawa: "A Theoretical Study on the Dynamics of a Cluster of Bubbles." Proc. Cavitation '91 Symp.FED-Vol.116. 11-18 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] S. Yamane, S., H. Takahira and T.: "Akamatsu, Nonlinear Oscillations of a Cluster of Spherical Bubbles and Chaos." Preprint JSME. No.924-2. 25-27 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, E. Sato, T. Mochizuki and T.: "Akamatsu. Motion of a Cluster of Bubbles in a Sound Field." Preprint JSME. No.924-2. 28-30 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, T. Akamatsu and S. Fujikawa: "Dynamics of a Cluster of Bubbles in a Liquid (1st Report, Theoretical Analysis)." Trans. JSME(B). Vo.58, No.548. 1267-1274 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, T. Akamatsu and S. Fujikawa: "Dynamics of a Cluster of Bubbles in a Liquid (2nd Report, Numerical Analysis)." Trans. JSME(B). Vo.58, No.548. 1275-1282 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira and T. Akamatsu: "Collapse of a Cluster of Bubbles (Effects of Initial Bubble Radii)." Preprint JSME. No.920-68. 234-236 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, S. Yamane, E. Sato, and T. Akamatsu: "Oscillations of Bubbles and Chaos." Proc. 7th National Symp. on Cavitation. 77-82 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Masubuchi, H. Takahira and T. Akamatsu: "Numerical Analysis of the Bubble Collapse by ALE Method." Proc. 7th National Symp. on Cavitation. 83-87 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, T. Akamatsu and S. Fujikawa: "Some Analytical Aspects the Dynamics of a Cluster of Bubbles." Proc. 3rd Int. Sump. on Cavitation. 9-15 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Masubuchi, H. Tkahira and T. Akamatsu: "Numerical Analysis of the Deformation of a Bubble by the ALE Method." Preprint JSME. No.934-2. 34-36 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] E. Sato, H. Takahira, A. Nigo and T. Akamatsu: "Chaotic Behavior of Bubbles in a Sound Field." Preprint JSME. No.934-2. 37-39 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] H. Takahira, S. Yamane and T. Akamatsu: "Nonlinear Oscillations of a Cluster of Bubbles in a Sound Field (Bifurcation Structure)." Trans. JSME(B). Vol.59, No.561. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高比良 裕之: "気泡振動とカオス" 日本学術会議キャビテーションに関するシンポジウム(第7回). 1巻. 77-82 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 増渕 寿: "ALE法を用いた気泡崩壊に関する数値解析" 日本学術会議キャビテーションに関するシンポジウム(第7回). 1巻. 83-87 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Hiroyuki Takahira: "Some Analytical Aspects on the Dynamics of a Cluster of Bubbles" Proceedings of the Third International Conference on Cavitation. Vol.1. 9-15 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 増渕 寿: "ALE法を用いた気泡変形に関する数値解析" 日本機械学会関西支部第68期定時総会講演会講演論文集. NO.934-2. 34-36 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 佐藤 英一郎: "音場中における気泡のカオス的な挙動" 日本機械学会関西支部第68期定時総会講演会講演論文集. NO.934-2. 37-39 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 高比良 裕之: "音場中での気泡群の非線形振動(分岐構造)" 日本機械学会論文集(B編). (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Hiroyuki Takahira: "A Theoretical Study on the Dynamics of a Cluster of Bubbles" Proceedings of Cavitation '91 Symposium. FED-Vol.116. 11-18 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 高比良 裕之: "音場中における気泡群の挙動" 日本機械学会関西支部第67期定時総会講演会講演論文集. No.924-2. 28-30 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山根 総一郎: "球形気泡群の非線形振動とカオス" 日本機械学会関西支部第67期定時総会講演会講演論文集. No.924-2. 25-27 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 高比良 裕之: "液体中での気泡群の力学(第1報,理論解析)" 日本機械学会論文集(B編). 58巻548号. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 高比良 裕之: "液体中での気泡群の力学(第2報,数値解析)" 日本機械学会論文集(B編). 58巻548号. (1992)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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