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Dynamic response of solididification process to time-varying cooling temperature

Research Project

Project/Area Number 11650214
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Thermal engineering
Research InstitutionKanazawa University

Principal Investigator

KUMURA Sigeo  Kanazawa University, Faculty of Engineering, Professor, 工学部, 教授 (70272953)

Co-Investigator(Kenkyū-buntansha) KIWATA Takahiro  Kanazawa University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (40225107)
UENO Hisanori  Kanazawa University, Faculty of Engineering, Professor, 工学部, 教授 (80019752)
OKAJIMA Atsushi  Kanazawa University, Faculty of Engineering, Professor, 工学部, 教授 (80013689)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1999: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsSolidification / Phase Change / Unsteady Cooling Temerature / Heat Transfer / Moving Boundary / Natural Convection / Numerical Analysis / Porous Medium / 連成熱伝達 / 対流熱伝達 / レイリー数 / ヌッセルト数 / 流れの可視化
Research Abstract

Solidification processes can be observed in a variety of fields of fields of engineering and geophysical phenomena. In metallurgy, for instance, the solidifying conditions of the melt determine the mechanical propertiesof the solid products. In semiconductor industry, integrated circuit devices require the large single crystals by high perfection, containing a uniformly distributed dopant. Geophysical problems also involve solidification processes, such as freezing sea water in arctic region, lake freezing and formation of igneous intrusives. In the present research we particularly concern with a possible way to control the location of solid liquid interface and the speed of advancing solid front. In order to achieve this goal it is needed to adjust the cooling temperature with time. From a point of view of fluid mechanics and heat transfer, a liquid to solid phase change involves a coupling of heat conduction in the solid layer as well as convecting process in the liquid layer. In cha … More pters 1 and 2, we develop both one-dimensional and two-dimensional models for a solidifying problem when a liquid body is cooled from the top boundary. The cooling temperature is varied periodically with time, and the bottom temperature is kept constant. The one-dimensional and two-dimensional models are formulated and solved numerically in general. But, it is also shown that an analytical solution is possible for a special case, where the Stefan number is small and the solid-liquid boundary movement is slow enough in comparison with the thermal diffusion in the solid layer. In chapter 3 we carry out a corresponding experiment with an insulated box containing distilled water. Both analytical and numerical predictions agree well with the experimental results regarding the solidifying front movement. In chapter 4 the study has been extended to solidification in a liquid-saturated porous medium. In chapters 5 and 6 we conduct a fundamental study on porous media convection and mixed convection in a vertical channel. Both analyzes serve in order to under stand transport process in a mashy zone, and to control convective heat transfer at the solid front. Less

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] S.KIMURA: "Time history of ice-layer formation at the cooled top boundary and its dynamic response to the time-varying cooling temperature"Moving Boundaries. 5. 47-56 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.KIMURA: "Natural Convection in a rectangular space due to constant flux from the side"Proc. of the 4^<th> JSME-KSME Thermal Eng. Conf.. Vol.1. 201-205 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.KIMURA: "Natural convection heat transfer in an anisotropic porous cavity heated from the side-Theory"Heat Transfer Asian Research. 29. 34-41 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村繁男: "上方冷却による水槽内での氷の凝固・融解特性(周期的冷却温度変化に対する氷厚さの応答)"日本機械学会論文集B編. 68巻663号. 2762-2767 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村繁男: "凝固過程の動的な応答に関する数値解析(周期的冷却温度変化に対する固相厚さの応答)"日本機械学会論文集B編. 68巻665号. 213-218 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村繁男: "円柱および矩形柱の流れ方向流力振動特性"日本機械学会論文集B編. 68巻665号. 169-174 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., and Vynnycky, M.: "Time history of ice-layer formation at the cooled top boundary and its dynamic response to the time-varying cooling temperature"Moving Boundaries. 5. 47-56 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., and Zubkov, P. T.: "Natural convection in a rectangular space due to constant flux from the side"The 4th JSME-KSME Thermal Engineering Conf. 1. 201-205 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., and Okajima, A.: "Natural convection heat transfer in an anisotropic porous cavity heated from the side-Theory"Heat Transfer Asian Research. 29. 34-41 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., and Okajima, A., and Kiwata, T.: "Natural convection heat transfer in an anisotropic porous cavity heated from the side-Experiment"Transactions of the JSME. 66, No.651. 2950-2956 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., Okajima, A., Kiwata, T., and Nakamura, T.: "Characteristics of solidification and melt in the water tank cooled from the top"Transactions of the JSME. 67, No.663. 130-135 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., Okajima, A., Kiwata, T., and Murai, T.: "Numerical analysis on dynamic response of solidifying process"Transactions of the JSME. 68, No.665. 175-180 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kimura, S., Okajima, A., Kiwata, T., and Mizushima, M.: "Mixed convection heat transfer in a vertical duct with different side-wall temperatures"Transactions of the JSME. 68, No.665. 160-165 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 木村繁男: "冷却温度の周期的変動に伴う氷層厚さの時間変化"日本機械学会論文集. 67・663B. 2762-2767 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 木村繁男: "凝固過程の動的挙動に関する数値解析"日本機械学会論文集. 68・665B. 175-180 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 木村繁男: "温度差を有する鉛直流路内での混合対流熱伝達"日本機械学会論文集. 68・665B. 169-174 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 若松英俊: "側壁に加熱・冷却部を有する容器内自然対流の不安定振動に関する研究"日本機械学会熱工学講演会論文集. No.01-9. 351-352 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shigeo KIMURA: "Natural Convection Heat Transfer in an Anisotropic Porous Cavity Heated from the Side : Part 1 Theory,"Heat Transfer Asian Research. Vol.29. 34-41 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 中村太樹: "氷の生成の動的制御に関する研究"日本機械学会2000年度年次大会講演論文集. Vol.IV. 495-496 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 木村繁男: "多孔質と流体レザバーを隔てる鉛直平板の熱伝達"日本機械学会2000年度年次大会講演論文集. Vol.IV. 439-440 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 増田善雄: "多孔質体内二重拡散対流の振動現象-アスペクト比の影響-"日本機械学会流体工学部門講演会講演概要集. 146-146 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 木村繁男: "透水率に異方性を有する飽和多孔質層内の側方加熱による自然対流熱伝達(第2報,ヘル・ショーセルによる実験)"日本機会学会論文集. Vol.66 No.651. 2950-2956 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 村井孝行: "凝固過程の動的な応答"第50回理論応用力学講演会講演論文集. 205-206 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shigeo KIMURA: "Time history of ice-layer formation at the cooled top boundary and its dynamic response to the time-varying cooling temperature"Moving Boundaries 5. Vol.5. 47-56 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Yoshio MASUDA: "Double-diffusive natural convection in a porous medium under consutant heat and mass fluxes"Heat Transfer-Asian Research. Vol.28. 255-265 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 木村繁男: "氷の生成の動的制御に関する研究"日本機械学会2000年度年次大会講演論文集. (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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