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Direct numerical simulation and macroscopic modeling of heat and fluid flow in porous media

Research Project

Project/Area Number 06650241
Research Category

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

Allocation TypeSingle-year Grants
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, Assistant Professor, 工学部, 助手 (70215119)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1995: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1994: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsPorous media / Numerical model / Non-Newtonian fluids / Thermal dispersion / Permeability / ダルシー流 / 非ダルシー流 / 数値解析 / モデリング
Research Abstract

Two- and three-dimensional numerical calculations have been conducted to simulate the viscous and porous inertia effects on the pressure drop in Newtonian and non-Newtonian fluid flows through porous media. Various periodic arrangements of square and circular rods are proposed as two-dimensional models of microscopic porous structure, whereas a collection of cubes placed in a region of infinite extent is proposed as its three-dimensional model. A full set of two- and three-dimensional momentum equations are treated along with the continuity equation at a pore scale, so as to simulate a flow through an infinite number of obstacles arranged in a regular pattern. The microscopic numerical results, thus obtained, are processed to extract the macroscopic relationship between the pressure gradient-mass flow rate. It has been found that the modified permeability determined by reading the intercept in the dimensionless pressure gradient versus Reynolds number plot closely follows Christopher and Middleman's formula based on a hydraulic radius concept. Upon comparing the results based on the two- and three-dimensional models, it has been found that only the three-dimensional model can capture the porous inertia effects on the pressure drop, correctly. Thermal dispersion in porous media is also investigated using a two-dimensional periodic array. The resulting correlation for high Peclet number range agrees well with available experimental data.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] Nakayama, A.: "Three-Dimensional Numerical Simmlation of Flow thromgh a Microscopic porous Structure" Proc. ASME/JSME Thernal Tngineering Conpereuce. 3. 313-318 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Kuwahara, F.: "A Numerical Study of Thernal Dispersion in Dorous Media" Proc. Int. Joint Comp. Thermo-Fluids Engineering on the Front-Most Line. 112-119 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Nakayama, A.: "Numerical Modelling of Fluid Flow in Prous Media" Proc. Int. Joint comp. Thermo-Fluids Engineering on the Front-Most Line. 120-127 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 井上昌考: "多孔質体内の非ニュートン流体の熱流動" 日本機械学会論文集B、編. 62-595. 1124-1128 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, Y.Kawamura and H.Koyama: "Three-dimensional numerical simulation of flow through a microscopic porous structure" Proc.ASME/JSME Thermal Engineering Conference. Vol.3. 313-318 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] F.Kuwahara, A.Nakayama and H.Koyama: "A numerical study of thermal dispersion in porous media" Proc.Int.Joint Conf.Thermo-Fluids Engineering on the Front-Most Line. 112-119 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nakayama, F.Kuwahara, M.Inoue, H.Motoyama and H.Koyama: "Numerical modelling of fluid flow in porous media" Proc.Int.Joint Conf.Thermo-Fluids Engineering on the Front-Most Line. 120-127 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Inoue and A.Nakayama: "Non-Newtonian fluid flow and heat transfer in a porous medium (lst Report, Two-dimensional numerical modeling of fluid flow" Transaction of JSME,Ser.C. Vol.62-595. 1124-1128 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Nakayama,A.: "Three-Dimensional Numerical Simulation of Flow throngh a Microscopic Porous Structure" Proc. ASME/JSME Thermal Engineering Conference. 3. 313-318 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Kuwahara,F.: "A Numerical Study of Thermal Dispersion in Porous Media" Proc. Int. Joint Conf. Thermo-Fluids Engineering on the Front-Most Line. 112-119 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Nakayama,A.: "Numerical Modelling of Fluid Flow in Porous Media" Proc. Int. Joint Conf. Thermo-Fluids Engineering on the Front-Most Line. 120-127 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 井上昌彦: "多孔質体内の非ニュートレ流体の熱流動" 日本機械学全論文集B編. 62-595. 1124-1128 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] A.Nakayama: "Free convection in a satarated porous medium beyond the Similarity solution" Applied Scientific Research. 52. 133-145 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] A.Nakayama: "A unified theory for non-Darcg free,forced and mixed convection prohlems associated with a horizontal line heat souros in a poroms" Trans,of the ASME,J.Heat Transfer. 116. 508-513 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] A.Nakayama: "Three-dimensional numerical simulaton of flow throngh a microscopic povous structure" 4th ASME/JSME Thermal Bugineering Joint Conf.(1995)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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