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Micro- and macroscopic investigation and mathematical modeling of heat transfer within a porous medium layer

Research Project

Project/Area Number 12450085
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

NAKAYAMA Akira  Shizuoka University, Department of Mechanical Engineering, Professor, 工学部, 教授 (60155877)

Co-Investigator(Kenkyū-buntansha) KUWAHARA Fujio  Shizuoka University, Department of Mechanical Engineering, Associate Professor, 工学部, 助教授 (70215119)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥12,300,000 (Direct Cost: ¥12,300,000)
Fiscal Year 2002: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2001: ¥4,500,000 (Direct Cost: ¥4,500,000)
Fiscal Year 2000: ¥6,300,000 (Direct Cost: ¥6,300,000)
KeywordsPorous media / Anisotropy / Permeability / Heat transfer / Heat exchanger / PIV / Flow visualization / 多孔質 / 非等方性 / 熱伝達 / PIV計測
Research Abstract

The concept of local volume-averaging theory, namely, VAT, widely used in the study of porous media has been proposed to investigate the flow and heat transfer within complex heat and fluid flow equipment consisting of small scale elements which one does not want to grid. For example, the hot and cold fluid passages in a compact heat exchanger can be treated as two distinct porous media with highly anisotropic permeabilities. Firstly, the set of macroscopic governing equations was established by carrying out volume averaging over the microscopic fluid flow and heat transfer equations. It has been revealed that the Reynolds averaging must precede the volume averaging, since smaller eddies within a pore must be modeled first. Secondly, the sub-control volume models were established beforehand for the flow resistance associated with subscale solid elements (modeled as an anisotropic porous medium) and the heat transfer between the flowing fluid and the subscale elements. The microscopic numerical results obtained at a pore scale were processed to extract the macroscopic hydrodynamic and thermal characteristics in terms of the volume-averaged quantities. It has been found that the principal axes of the permeability tensor (which controls the viscous drag in the low Reynolds number range) differ significantly from those of the Forchheimer tensor (which controls the form drag in the high Reynolds number range). The study also reveals that the variation of the directional interfacial heat transfer coefficient with respect to the macroscopic flow angle is analogous to that of the directional permeability. Experimental investigation using PIV system was also conducted to elucidate unsteady flow characteristics in porous media, which eventually would lead to turbulence transition.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] F.Kuwahara, M.Shirata, A.Nakayama: "A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media"Int. J. Heat Mass Transfer. 44. 1153-1159 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, M.Sugiyama, G.Xu: "A two-energy equation model for conduction and convection in porous media"Int. J. Heat Mass Transfer. 44. 4375-4379 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, A.Naoki, G.Xu: "A three-energy equation model based on a volume overagly theory for analyzing complex heat and fluid flow in heat exchanges"Proceedings of ICECA '2001, Wahan. 1. 506-512 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, T.Umemoto, T.Hayashi: "Heat and fluid flow within an anisotropic porous medium"Trans, ASME, Journal of Heat Transfer. 124. 746-753 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, A.Naoki, G.Xu: "A volume averaging theory and its sub-control-volume model for analyzing heat and fluid flow within complex heat transfer equipment"Proceedings of the 12th Int. Heat Transfer Conf.. 1. 851-856 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, T.Hayashi: "A three-dimensional subscale model for heat and fluid flow through a highly anisotropic porous medium"Proceedings of the 6th ASME-JSME Thermal Engineering Joint Conference. TED-AJ03-151 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] F. Kuwahara, M. Shirota, A. Nakayama: "A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media"Int. J. Heat Mass Transfer. Vol.44. 1153-1159 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Nakayama, F. Kuwahara, M. Sugiyama, G. Xu: "A two-energy equation model for conduction and convection in porous media"Int. J. Heat Mass Transfer. Vol.44. 4375-4379 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Nakayama, F. Kuwahara, A. Naoki, G. Xu: "A three-energy-equation model based on a volume averaging theory for analyzing complex heat and fluid flow in heat exchangers"Proc. ICECA 2001, Wuhan. Vol.1. 506-512 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Nakayama, F. Kuwahara, T. Umemoto, T. Hayashi: "Heat and fluid flow within an anisotropic porous medium"Trans. The ASME, Journal of Heat Transfer. Vol.124. 746-753 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Nakayama, F. Kuwahara, A. Naoki, G. Xu: "A volume averaging theory and its sub-control-volume model for analyzing heat and fluid flow within complex heat transfer equipment"Proc. The 12th Int. Heat Transfer Conf.. Vol. 1. 851-856 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Nakayama, F. Kuwahara, T. Hayashi: "A three-dimensional subscale model for heat and fluid flow through a highly anisotropic porous medium"Proc. The 6th ASME-JSME Thermal Engineering Joint Conf.. TED-AJ03-151. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 中山顕: "Heat and Fluid Flow Within an Anisotropic Porous Medium"Journal of Heat Transfer. 124. 746-753 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中山顕: "A volume averaging theory and its sub-control-volume model for analyzing heat and fluid flow within complex heat transfer equipment"Proc.of the 12th international heat transfer conference, 2002. 851-856 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中山顕: "A Three-dimensional Subscale Model for Heat and Flow through a Highly Anisotropic Porous Medium"Proc. of the 6th ASME-JSME Joint Conference. (発表予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 桑原不二朗: "非等方多孔質構造体内熱流動のモデリング"第39回日本伝熱シンポジウム講演論文集. III. 781-782 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 許国明: "THE CONCEPT OF KNOWN-VELOCITY BOUNDARY FOR AUTOMATIC SETTING OF BOUNDARY CONDITIONS"Int.Comm.Heat Mass Transfer. 29. 335-343 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中山顕: "異方性多孔質内三次元熱流動の数学モデル"第40回日本伝熱シンポジウム. (発表予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 桑原不二朗: "多孔質概念に基づく熱交換器内の熱流体解析"第38回日本伝熱シンポジウム講論集. Vol.1. 103-104 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 桑原不二朗: "二次元多孔質体内流動場のPIV計測"日本機械学会熱工学講演会No.01-9講演論文集. 67-68 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 梅本貴広: "非等方人工多孔質体の熱流動のモデリング"日本伝熱学会東海支部講演会. (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] F. Kuwahara: "A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media"Int. J. Heat Mass Transfer. Vol. 44. 1153-1159 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] A. Nakayama: "A three-energy equation model based on a volume averaging theory for analyzing complex heat and fluid flow in heat exchangers"Proc. ICECA'2001. 506-512 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 桑原不二朗: "非等方多孔質構造体内熱流動のモデリング"第39回日本伝熱シンポジウム講論集. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 桑原不二朗: "多孔質体二エネルギ方程式モデルの界面熱伝達率"第37回日本伝熱シンポジウム講論集. Vol.3. 955-956 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 桑原不二朗: "多孔質体内熱及び物質移動の1次元モデル"日本機械学会2000年年次大会 8月4日.. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 直木篤弘: "多孔質概念に基づく熱流体解析"関東支部山梨講演会 10月28日.. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 桑原不二朗: "多孔質体内熱流動の界面熱伝達率に関する数値実験"第13回計算力学部門講演会学術講演プログラム. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 桑原不二朗: "多孔質概念に基づく熱交換器の熱流体解析"第38回日本伝熱シンポジウム講論集. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 杉山真純: "多孔質体の非熱平衡モデルに関する一考察"第38回日本伝熱シンポジウム講論集. (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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