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Study of nonlinear oscillations and chaos of a bubble cluster in an oscillatory pressure field

Research Project

Project/Area Number 06650205
Research Category

Grant-in-Aid for General Scientific Research (C)

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

Principal Investigator

TAKAHIRA Hiroyuki  Kyoto Univ., Graduate School of Engineering Lecturer, 工学研究科, 講師 (80206870)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1995: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1994: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsBubble dynamics / Bubble cluster / Cavitation / Nonlinear oscillation / Chaos / Laser manipulation / Surface oscillation / Heat transfer / レーザー捕捉
Research Abstract

1. A new laser trapping method is devised to control the position of bubbles out of contact. This method is based on the scanning of a thin laser beam in which the envelope surface of the beam is a corn. This method is adequate to trap a rising bubble because the potential barrier made by the light momentum change due to the refraction at the bubble interface exists only at the upper side of the bubble. A bubble of about 10 mum in diameter in water is trapped and manipulated successfully by this method. It is shown that the optical force acting on the bubble in the lateral direction is about 1pN at 500mW of laser power, and in the axial direction about 6pN at the same power. The stability of trapped bubbles due to the mass diffusion is discussed. The strength of the force and the stability of the trapping state are also evaluated theoretically. The results show that the larger the focal angle is, the stronger the trapping force becomes.
2. The governing equations of a cluster of spheric … More al or nonspherical bubbles are derived by taking account of the thermal effects of the internal gas and the mass diffusion of the gas. The equations are applied to the nonlinear oscillations of multiple interacting bubbles. It is shown that the polytropic relation for the internal gas does not hold when the nonlinearity of the radial oscillation becomes strong. Both radial and surface oscillations are affected by the translational motion of each bubble. The subharmonic oscillation of interacting bubbles occurs more easily than that of an isolated bubble due to the bubble-bubble interaction. It is also shown that the threshold value where the bubble oscillation bifurcates and becomes chaotic decreases due to the mass diffusion of the internal gas.
3. The boundary element method (BEM) combined with the finite volume method is used in investigating the thermal effects of the internal gas on the dynamics of a gas bubble with large deformation near a plane rigid wall. It is shown that the bubble collapse is accelerated by the heat transfer inside the bubble. The temperature distribution inside the bubble is strongly dependent on the degree of deformation of the bubble. When the jet is produced on the bubble wall, the internal temperature gradient at the side farthest from the rigid wall becomes very steep. This steep gradient increases the liquid temperature to a level higher than that for the single bubble. The dynamics of toroidal bubbles is also investigated using BEM.The results show that the high pressure region is formed in a liquid after a liquid microjet threads a bubble. This high pressure region moves toward the rigid wall and increases the pressure of the wall. Less

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] 高比良裕之: "レーザーマニピュレーションによる気泡の位置制御" 日本機械学会流体工学部門講演会講演論文集. No.940-53. 49-50 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "内部気体の温度勾配を考慮した気泡の挙動に関する数値解析" 日本機械学会流体工学部門講演会講演論文集. No.940-53. 191-192 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "複数気泡の非線形振動特性(内部気体の熱的効果)" 日本機械学会関西支部第70期定時総会講演会講演論文集. No.945-2. 105-107 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "気泡変形に及ぼす内部気体の温度勾配の影響(境界要素法を用いた数値解析)" 日本機械学会関西支部第70期定時総会講演会講演論文集. No.945-2. 108-110 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hiroyuki Takahira: "Surface Oscillations of Mutually-Interactiong Gas Bubbles in a Sound Field" Proceedings of the IUTAM Symposium on ″Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems. Vol.1. 67-76 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hiroyuki Takahira: "Thermal Effects on the Oscillations of Interacting Multi-Bubbles" Proceedings of the Second International Conference on Multiphase Flow. Vol.2. 3-63-3-70 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Hiroyuki Takahira: "Numerical Investigations of the Thermal Effects of the Internal Gas on the Collapse and Rebound of Nonspherical Bubbles" Proceedings of Cavitation and Multiphase Flow Forum. FED-Vol.210. 173-179 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "気泡群の振動特性に及ぼす内部気体の熱的効果" 日本機械学会論文集(B編). 61巻. 4241-4248 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "剛体壁近傍での非球形気泡の力学に関する数値解析(内部気体の熱的効果)" 日本機械学会論文集(B編). 61巻. 4249-4256 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "レーザマニピュレーションによる気泡の位置制御とその応用" 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8回). 1巻. 97-100 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "境界要素法を用いたトロイダル気泡の解析" 日本機械学会関西支部第71期定時総会講演会講演論文集. No.964-1. 513-514 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "気泡のレーザマニピュレーション" 日本機械学会関西支部第71期定時総会講演会講演論文集. No.964-1. 559-560 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Control of Position of Bubbles by Laser Manipulation" Preprint JSME. No.940-53. 49-50 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Numerical Analysis of Bubble Behaviors by Considering the Temperature Gradient of the Internal Gas" Preprint JSME. No.940-53. 191-192 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Nonlinear Oscillations of Multi-Bubbles (Thermal Effects of the Internal Gas" Preprint JSME. No.954-2. 105-107 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Effects of the Temperature Gradient of the Internal Gas on the Bubble Deformation (Numerical Analysis by Using the Boundary Element Method)" Preprint JSME. No.954-2. 108-110 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Surface Oscillations of Mutually-Interacting Gas Bubbles in a Sound Filed" Proc.IUTAM Symp.on Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems, Kluwer Academic Publishers. 67-76 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Thermal Effects on the Oscillations of Interacting Multi-Bubbles" Proc.2nd Int.Conf.on Multiphase Flow. Vol.2, P3-63-70. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Numerical Investigations of the Thermal Effects of the Internal Gas on the Collapse and Rebound of Nonspherical Bubbles" Proc.Cavitation and Multiphase Flow Forum. FED-Vol.210. 173-179 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Thermal Effects of the Internal Gas on the Oscillations of a Cluster of Bubbles" Trans.JSME (B). Vol.61, No.592. 424-4248 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Numerical Analysis of the Dynamics of a Nonspherical Bubble near a Rigid Wall (Thermal Effects of the Internal Gas)" Trans.JSME(B). Vol.61, No.592. 4249-4256 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Control of Position of Bubbles by Laser Manipulation and its Application" Proc.8th National Symp.on Cavitation. 97-100 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Analysis of Toroidal Bubbles by the Boundary Element Method" Preprint JSME. No.964-1. 513-514 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Takahira: "Laser Manipulation of Bubbles" Preprint JSME. No.964-1. 559-560 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 高比良裕之: "気泡群の振動特性に及ぼす内部気体の熱的効果" 日本機械学会論文集(B編). 61巻. 4241-4248 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高比良裕之: "剛体壁近傍での非球形気泡の力学に関する数値解析(内部気体の熱的効果)" 日本機械学会論文集(B編). 61巻. 4249-4256 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Hiroyuki Takahira: "Numerical Investigations of the Thermal Effects of the Internal Gas on the Collapse and Rebound of Nonspherical Bubbles" Proceedings of Cavitation and Multiphase Flow Forum. FED-Vol. 210. 173-179 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高比良裕之: "レーザマニピュレーションによる気泡の位置制御とその応用" 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8回). 1巻. 97-100 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高比良裕之: "境界要素法を用いたトロイダル気泡の解析" 日本機械学会関西支部第71期定時総会講演会講演論文集. No. 964-1. 513-514 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高比良裕之: "気泡のレーザマニピュレーション" 日本機械学会関西支部第71期定時総会講演会講演論文集. No. 964-1. 559-560 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 高比良裕之: "レーザーマニピュレーションによる気泡の位置制御" 日本機械学会流体工学部門講演会講演論文集. No.940-53. 49-50 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 高比良裕之: "内部気体の温度勾配を考慮した気泡の挙動に関する数値解析" 日本機械学会流体工学部門講演会講演論文集. No.940-53. 191-192 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 高比良裕之: "複数気泡の非線形振動特性(内部気体の熱的効果)" 日本機械学会関西支部第70期定時総会講演会講演論文集. No.945-2. 105-107 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 高比良裕之: "気泡変形に及ぼす内部気体の温度勾配の影響(境界要素法を用いた数値解析)" 日本機械学会関西支部第70期定時総会講演会講演論文集. No.945-2. 108-110 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Hiroyuki Takahira: "Surface Oscillations of Mutually-Interacting Gas Bubbles in a Sound Field" Proceedings of the IUTAM Symposium on "Waves in Liquid/Gas and Liquid/Vapor Two-Phase System. (未定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Hiroyuki Takahira: "Thermal Effects on the Oscillations of Interacting Multi-Bubbles" Proceedings of the Second International Conference on Multiphase Flow. (未定). (1995)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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