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Analysis of surface wave formation of icicles and its application to the formation of stalactites

Research Project

Project/Area Number 16540349
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionHokkaido Institute of Technology

Principal Investigator

OGAWA Naohisa  Hokkaido Institute of Technology, Department of Liberal Arts, Associate Professor, 総合教育研究部, 准教授 (40364244)

Co-Investigator(Kenkyū-buntansha) FURUKAWA Yoshinori  Institute of Low Temperature Sciences, Hokkaido University, Professor, 低温科学研究所, 教授 (20113623)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsIcicle / Surface tension / Curvature / Stalactite / Ice stalagmite / つらら / 毛管長 / 表面不安定性 / 表面不安定 / 双極子相互作用
Research Abstract

We have proposed a new model for the surface formation of icicle, we also proposed some mathematically related works, and some experiments and some field works are done.
For the problem of icicle, it was found that we cannot express the experimental fact (formation of surface wave with specific wave length) when we take into account the surface tension of water. Further consideration is necessary to find some physical factors which explain the experimental results. On the other hand, the similar model made by Ueno says that every experimental result can be explained. However, first, his boundary condition for the temperature field can not be accepted physically. Second, his result which suggests the motion of wave going upward is asserted to be proved by the trace of bubbles inside of icicles. But we cannot find the explicit motion of waves on the surface of icicle by hundreds video filming and the picture of formation of many crystals inside of icicles. So we have concluded that there is no reason to connect the wave motion and the trace of bubbles inside of icicles. And it should be said that this problem is still an open one. We will further continue the research on this point.
Next we have considered the related mathematical problems. One is about the surface tension. We considered its value from the statistical mechanics view point, and next tried the problem of measurement of one from the form of pendant drop. Further the morphology of snow grains from the view point of Gaussian curvature is discussed. This is really related to the surface energy. On the other hand, To study the relation between the thermal problem and surface formation, phase field model is studied to compare to the usual theories.
The field works to take the data on ice-stalagmites, stalactites, stalagmites and rim stones are done in 6 caves in Hokkaido, Iwate prefecture and Okinawa islands. These data are used to construct the new morphological theories for these objects.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (17 results)

All 2007 2006 2005

All Journal Article (16 results) Book (1 results)

  • [Journal Article] Chaplygin gas and Brane2007

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      Geometry, Integrability and Quantization, Proceedings of International Conference in Varna, Bulgaria, Bulgarian Academy of Science Vol.8

      Pages: 279-291

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] タンパク質溶液の表面張力II2007

    • Author(s)
      福原朗子
    • Journal Title

      北海道工業大学紀要 35号

      Pages: 163-168

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sharp interface limit of Phase Field Model2007

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      北海道工業大学紀要 35号

      Pages: 141-146

    • NAID

      110006391637

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Using Gaussian Curvature for the 3D segmentation of snow grains from microtomograohic data2007

    • Author(s)
      J.B.Brzoska
    • Journal Title

      Physics and Chemistry of Ice, Proceedings of the International Conference on the Physics and Chemistry of Ice Vol.11

      Pages: 125-132

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Surface tension of protein solution II2007

    • Author(s)
      Akiko Fukihara, Osamu Hayakawa, Yoshiki-Matsuura, Noriko Minetomo, Naohisa Ogawa
    • Journal Title

      Memories of the Hokkaido Institute of Technology NO.35

      Pages: 163-168

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sharp interface limit of Phase Field Model2007

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      Memories of the Hokkaido Institute of Technology NO.35

      Pages: 141-146

    • NAID

      110006391637

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Chaplygin gas and Brane2007

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      Geometry, Integrability and Quantization, Proceedings of 8^<th> International Conference in Varna, Bulgaria on 9-14, June 2006 Bulgarian Scientific Publishing

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sharp interface limit of Phase Field Model2007

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      北海道工業大学 紀要 35

      Pages: 141-146

    • NAID

      110006391637

    • Related Report
      2006 Annual Research Report
  • [Journal Article] タンパク質溶液の表面張力II2007

    • Author(s)
      福原朗子, 小川直久, 他 3名
    • Journal Title

      北海道工業大学 紀要 35

      Pages: 163-168

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 懸滴法によるタンパク質溶液の表面張力の測定2006

    • Author(s)
      福原朗子
    • Journal Title

      北海道工業大学紀要 34号

      Pages: 89-96

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Representation of Two Curvatures of Surface and its Application to Snow Physics2006

    • Author(s)
      Naohisa Ogawa
    • Journal Title

      北海道工業大学紀要 34号

      Pages: 81-87

    • NAID

      110004518468

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mesurements of surface tension of protein solution by pendant drop method2006

    • Author(s)
      Akiko Fukihara, Osamu Hayakawa, Yoshiki-Matsuura, Naohisa Ogawa, Ryoko Seto, Shudai Tamura
    • Journal Title

      Memories of the Hokkaido Institute of Technology NO.34

      Pages: 89-96

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Representation of Two Curvatures of Surface and its Application to Snow Physics2006

    • Author(s)
      Naohisa Ogawa, Frederic Flin, Jean Bruno Brzoska
    • Journal Title

      Memories of the Hokkaido Institute of Technology NO.34

      Pages: 81-87

    • NAID

      110004518468

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Using Gaussian Curvature for the 3D segmentation of snow grains from microtomographic data2006

    • Author(s)
      J.B.Brzoska, Frederic Flin, Naohisa Ogawa
    • Journal Title

      Physics and Chemistry of Ice, Proceedings of the 11^<th> International Conference on the Physics and Chemistry of Ice, held at Bremerhaven, Germany, on 23-28 July 2006 RSC Publishing

      Pages: 125-132

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Analytical Calculations of the Surface Energy of Water2005

    • Author(s)
      小川直久
    • Journal Title

      北海道工業大学紀要 33号

      Pages: 117-124

    • NAID

      110001150823

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Analytical Calculations of the Surface Energy of Water2005

    • Author(s)
      Naohisa Ogawa, Yoshiki Matsuura
    • Journal Title

      Memories of the Hokkaido Institute of Technology NO.33

      Pages: 117-124

    • NAID

      110001150823

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] Geometry, Integrability and Quantization (Proceedings)2007

    • Author(s)
      Naohisa Ogawa 共著
    • Total Pages
      338
    • Publisher
      Bulgarian Scientific Publishers
    • Related Report
      2006 Annual Research Report

URL: 

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

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