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SELF-INDUCED VIBRATION OF INEQUILIBRIUM LIQUID SURFACE

Research Project

Project/Area Number 03804021
Research Category

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

Allocation TypeSingle-year Grants
Research Field 物理学一般
Research InstitutionTOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY

Principal Investigator

TAKAKI Ryuji  TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY, FACULTY OF TECHNOLOGY, PROFESSOR, 工学部, 教授 (80015065)

Co-Investigator(Kenkyū-buntansha) SANO Osamu  TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY, FACULTY OF TECHNOLOGY, ASSOCIATE, 工学部, 助教授 (80126292)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1992: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1991: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsLiquid Interface / Surface Tension / Self-induced Vibration / Thermal Inequilibrium / Pattern Formation / Marangoni Convection / Vibration of Liquid Drop / Linear Stability Theory / マランゴーニ対流 / 液滴 / 熱非平衡 / 非線形振動 / 動的パタ-ン
Research Abstract

The self-induced vibrations of a superheated drop and a chemically active interface are investigated both experimentally and theoretically. Resonant vibration modes of a spherical oil drop suspended neutrally in the water was observed.
1. Self-induced vibrations were observed for drops of water, ethanol and liquid nitrogen placed on horizontal plates with temperatures much higher than the boiling ones. The drops levitated with thin vapor sheets under them and showed vibrations with polygonal shapes in the plane view (the mode is denoted by the vertex number n). The mode selection depended on the material and the plate temperature. Theory of the mode selection mechanism is not yet complete.
2. Marangoni convection was observed in the interface of the water with surfactant and the nitrobenzene with iodide ion. A linear stability analysis is made for its onset. The result shows that the interfaces unstable for any value of the horizontal wavelength, but has the most unstable wave length which depends on the several parameters inherent in this liquid system.
3. Normal mode vibrations were observed for a spherical drop of organic liquid, which had the same density as that of the water and was suspended neutrally in the water. The drop was excited artificially at one or two points on the drop surface and frequencies of resonant vibration modes were measured. It was found that the most resonant modes were those with the regular polyhedral shapes, and that their frequencies agreed well with theoretical prediction made by the present authors.

Report

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

    (23 results)

All Other

All Publications (23 results)

  • [Publications] Y.ARAI,K.ADACHI and R.TAKAKI: "Spherical harmonic functions for expression of polyhedral vibration of a spherical drop" FORMA. 6. 193-204 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.TAKAKI,N.YOSHIYASU and K.ADACHI: "Self-induced vibration of an evaporating drop-effect of temperature condition" FORMA. 7. 47-51 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] N.Tokugawa and R.Takaki: "Self-induced vibration of an evaporating liquid drop" Proc. KIT Workshop,1991 ed.S.Kai(World Scientific). 211-215 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 新井 洋二,高木 隆司: "球形液的の振動モードの観察" 統計数理研究所共同研究リポート No.37. 138-143 (0992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.TAKAKI: "Self-induced vibration of an evaporating drop" Research of Pattern Formation ed. R.Takaki(KTK Sci.Publ.). 363-375 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 高木 隆司: "形の数理" 朝倉書店, 171 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.TAKAKI(ed.): "Research of Pattern Formation" KTK Scientific Publishers, 600 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Y.Arai, K.Adachi and R.Takaki: "Spherical harmonic functions for expression of polyhedral vibration of a spherical drop" FORMA. Vol.6, No.3. 193-204 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.Takaki, N.Yoshiyasu and K.Adachi: "Self-induced vibration of an evaporating drop-effect of temperature condition" FORMA. Vol.7, No.1. 47-51 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] N.Tokugawa and R.Takaki: "Self-induced vibration of an evaporating liquid drop, in "Pattern Formation in Complex Dissipative Systems" Proc. KIT Workshop", ed. S.Kai (World Scientific). 211-215 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] Y.Arai and R.Takaki: "Observation of vibrational mode of a spherical drop [in Japanese]" Report of The Institute of Statistical Sciences. No.37. 138-143 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.Takaki:"Self-induced vibration of an evaporating drop" "Research of Pattern Formation", ed. R.Takaki (KTK Scientific Publishers, Tokyo). 363-375 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] N.Yoshiyasu, K.Adachi and R.Takaki: "Effect of superheating on the self-induced vibration of evaporating drop" J. Phys. Soc. Jpn.(1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] K.Sannomiya and R.Takaki: "Linear stability analysis of an interface with chemical reaction" J. Jpn. Soc. Fluid Dyn.(1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.Takaki,: published by Asakura-shoten, Tokyo. Mathematical Physics of Forms, 171 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.Takaki,(ed.): published by KTK Scientific Publishers, Tokyo. Research of Pattern Formation, 600 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] R.Takaki,N.Yoshiyasu and K.Adachi: "Self-induced vibration of an evaporating drop-effect of temperature condition" FORMA. 7. 47-51 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] N.Tokugawa: "Self-induced vibration of an evaporating liquid drop" Proc.KIT Workshop,1991 ed.S.Kai(World Scientific). 211-215 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 新井 洋二,高木 隆司: "球形液的の振動モードの観察" 統計数理研究所共同研究リポート No.37. 138-143 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] R.Takaki: "Self-induced vibration of an evaporating drop" Research of Pattern Formation ed.R.Takaki(KTK Sci.Publ.). 363-375 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 高木 隆司: "形の数理" 朝倉書店, 171 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] R.Takaki(ed.): "Research of Pattern Formation" KTK Scientific Publishers, 600 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Naoko Tokugawa: "Selfーinduced Vibration of Evaporating Liquid Drop" Proceedings of the Workshop“Physis of Pattern Formation"(World Scientific Publ.). (1992)

    • Related Report
      1991 Annual Research Report

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

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