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Study on Nonlinear Dynamics of Rotating Liquid Drop Vibration

Research Project

Project/Area Number 16560168
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionJapan Aerospace Exploration Agency

Principal Investigator

MATSUMOTO Satoshi  Japan Aerospace Exploration Agency, Institute of Space and Astronautical Science, ISS Science Project Office, Scientist, 宇宙科学研究本部・ISS化学プロジェクト室, 研究員 (90360718)

Co-Investigator(Kenkyū-buntansha) YODA Shinichi  Japan Aerospace Exploration Agency, Institute of Space and Astronautical Science, Department of Space Biology and Microgravity Science, Professor, 宇宙科学研究本部・宇宙環境利用化学研究系, 教授 (00344276)
ISHIKAWA Takehiko  Japan Aerospace Exploration Agency, Institute of Space and Astronautical Science, Department of Space Biology and Microgravity Science, Associate Professor, 宇宙科学研究本部・宇宙環境利用化学研究系, 助教授 (00371138)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2004: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsLevitating Droplet / Electrostatic Levitator / Rotation / Surface Tension / Surface Charge / Axisymmetric Oscillation / Resonant Frequency / Nonlinear Oscillation / 液滴 / 振動挙動 / 非線形性 / 周波数シフト / 液滴回転
Research Abstract

Experimental study on nonlinear dynamics of liquid droplet levitated by a electrostatic levitator was performed. A transparent fluid of propylene carbonate was employed as a working fluid. The result was summarized as follows:
1.Effect of droplet size on measured surface tension did not appear ranging from 1 to 3 mm in diameter. However the surface tension decreased with increasing the surface charge. Influence of surface charge was corrected by using Rayleigh theorem. But this correction could not perfect especially in the highly charge region. It seems that nonuniformity of surface charge should be taken into account in corrective equitation.
2.Nonlinear effect remarkably appeared with increasing the amplitude of oscillation. And nonlinear behavior was observed when the frequency of external force to induce oscillatory motion was changed around the resonant frequency of droplet.
3.When an oscillation amplitude became lager, the resonant frequency was getting lower. This result agree well with a theory derived by Tsamopoulos and Brown.
4.The rotation (spin) along z axis was induced on the levitating droplet. The critical value of transition from symmetric to asymmetric form and the increment of resonant frequency consisted with theory by Busse.
5.Nonlinear oscillation was modeled by using a spring-mass-dumper system including nonlinearity which called Duffing equation. In case of taking into account of nonlinear effect, oscillation dynamics was similar to experimental result in large-amplitude oscillation. The result indicates that the large-amplitude oscillation includes the effect of nonlinear oscillation.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (11 results)

All 2006 2005 2004

All Journal Article (11 results)

  • [Journal Article] 静電浮遊液滴の大振幅振動挙動に関する研究2006

    • Author(s)
      粟津茂, 松本聡, 阿部豊
    • Journal Title

      日本機会学会関東学生会第45回学生員卒業研究発表講演会 Vol.1

      Pages: 291-292

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 静電浮遊液滴の大振幅振動挙動に関する研究2006

    • Author(s)
      粟津茂, 松本聡, 阿部豊
    • Journal Title

      日本機会学会関東学生会第45回学生員卒業研究発表講演会(2006) Vol.1

      Pages: 291-292

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Effect of Amplitude on Frequency in Oscillating Liquid Drop2005

    • Author(s)
      S.MATSUMOTO, S.AWAZU, T.ISHIKAWA, S.YODA, T.WATANABE, Y.ABE
    • Journal Title

      Bulletin of the American Physical Society, Program of 58th Annual Meeting of the Division of Fluid Dynamics Vol.50, No.9

      Pages: 130-130

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Study on Non-Linear Behavior of Liquid Drop Oscillation2005

    • Author(s)
      H.Onodera, S.Matsumoto, T.Ishikawa, P.-F.Paradis, S.Yoda, K.Wakashima
    • Journal Title

      AIAA 2005-0723

      Pages: 1-7

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 浮遊液滴の振動挙動に関する研究2005

    • Author(s)
      松本聡, 小野寺博樹, 石川毅彦, 依田眞一, 若島健司
    • Journal Title

      宇宙利用シンポジウム講演論文集 Vol.21

      Pages: 121-123

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Effect of Amplitude on Frequency in Oscillating Liquid Drop2005

    • Author(s)
      S.MATSUMOTO, S.AWAZU, T.ISHIKAWA, S.YODA, T.WATANABE, Y ABE
    • Journal Title

      Bulletin of the American Physical Society, Program of 58th Annual Meeting of the Division of Fluid Dynamics Vol.50, No.9

      Pages: 130-130

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Study on Non-linear Behavior of Liquid Drop Oscillation2005

    • Author(s)
      H.Onodera, S Matsumoto, T.Ishikawa, P.-F Paradis, S.Yoda, K.Wakashima
    • Journal Title

      AIAA 2005-0723

      Pages: 1-7

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Study on Non-Linear Behavior of Liquid Drop Oscillation2005

    • Author(s)
      H.Onodera, S.Matsumoto, T.Ishikawa, P.-F.Paradis, S.Yoda, K.Wakashi
    • Journal Title

      AIAA 2005-0723

      Pages: 1-7

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 液滴振動法による表面張力測定における振幅の影響2004

    • Author(s)
      小野寺博樹, 松本聡, 小宮敦樹, 石川毅彦, Paul-Francois Paradis, 依田眞一, 若島健司
    • Journal Title

      第41回日本伝熱シンポジウム講演論文集 Vol.1

      Pages: 73-74

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] 液滴振動法による物性計測に及ぼす液滴挙動の影響2004

    • Author(s)
      小野寺博樹, 松本聡, 石川毅彦, Paul-Francois Paradis, 依田眞一, 若島健司
    • Journal Title

      日本機械学会熱工学コンファレンス2004講演論文集 Vol.1

      Pages: 371-372

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 液滴振動法による物性計測に及ぼす液滴挙動の影響2004

    • Author(s)
      小野寺博樹, 松本聡, 石川毅彦, Panl-Francois Paradis, 依田眞一, 若島健司
    • Journal Title

      日本機械学会熱工学コンフアレンス2004講演論文集

      Pages: 371-372

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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