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A Study of Dynamical Expression of Turbulence Using K-L Expansion and Stochastic Differential Eqation

Research Project

Project/Area Number 07455084
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionNagoya University

Principal Investigator

NAKAMURA Ikuo  Nagoya University, Engineering, Professor, 工学部, 教授 (00023127)

Co-Investigator(Kenkyū-buntansha) TSUNODA Hiroyuki  Yamanashi University, Engineering, Associate Professor, 工学部, 助教授 (10207433)
TSUJI Yoshiyuki  Nagoya University, Engineering, Research Associate, 工学部, 助手 (00252255)
KUSHIDA Takehiro  Nagoya University, Engineering, Research Associate, 工学部, 助手 (90109281)
SAKAI Yasuhiko  Nagoya University, Engineering, Associate Professor, 工学部, 助教授 (20162274)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥7,700,000 (Direct Cost: ¥7,700,000)
Fiscal Year 1996: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1995: ¥6,700,000 (Direct Cost: ¥6,700,000)
KeywordsTurbulence / Turbulent Boundary Layr / Fractal / Turbulent Diffusion / Stochastic Differential Equation / 力学系 / 乱流境界層 / 乱流拡散
Research Abstract

Firstly the turbulent boundary layr of our wind tunnel is investigated whether it is canonical two dimensional turbulent flow or not and we confirmed it has complete two dimensionality of mean and fluctuating velosity distributions. Since KL-expansion needs multi points same time data, we constructed 24-channels hot wire anemometers of which linearity is obtained using super computer. Also we made a 24 wires probe, each wire having disetance 1mm which is approximately Taylor microscale. Using this probe the multi points correlation in the turbulent boundary layr is measured and the basis of KL-expansion is calculated. From this expansion instantaneous velocity distribution can be reconstructed and it shows usefulness to identify temral structure but problems for spatial structure identification. Secondary a stochastic differential eqation is assumed to simulate turbulence. We used fractional Brownian noise for the stochastic term and suceeded to obtain -5/3 spectrum and intermittency. In order to compare probability densities Kullback divergence is introduced and it is shown its effectiveness for the turbulence for the first time. Thirdry pdf method is applied for the simulation of turbulent diffusion in pipe flow and compared the experimental results. It shows self-similality in agreement with the experiment and it determined concentration distribution in sections.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] 角田博之: "直接シミュレーションによる等方性乱流中の物質拡散に対するペクレ数効果" 日本機械学会論文集(B編). 61・584. 1285-1292 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 辻 義之: "非整数ブラウン運動による乱流速度の表現" 日本機械学会論文集(B編). 61・588. 2861-2868 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yoshiyuki TSUJI: "On the Turbulent Velocity Representation by Fractional Brownian Motion" Proc. 10th Symp. on Turbulent Shear Flows. 2. P2.55-P2.59 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Ikuo NAKAMURA: "An Application of Differential-Geometrical Methods in Statistics to a Turbulent Flow Field" Proc. 10th Symp. on Turbulent Shear Flows. 3. P3.13-P3.16 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Ikuo NAKAMURA: "On the Diffusion of Matter from a Wall Point Source in a Turbulent Pipe Flow" Proc. 12th Australasian Fluid Mech. Conf.2. 569-572 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Diffusion in Turbulent Pipe Flow Using a Stochastic Model" JSME Int. Journal Ser. B. 39.4. 667-675 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroyuki, Tsunoda: "On the Pecre number effect on turbulent diffusion by use of DNS" Trans.JSME.Ser.B. Vol.61-584. 1285-1292 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yoshiyuki, Tsuji: "On the turbulent velocity representation by fractional Brownian motion" Proc.10th Symp.on Turbulent Shear Flows. Vol.2. 13-16 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Ikuo, Nakamura: "An application of differential geometrical methods in statistics to a turbulent flow field" Proc.10th Symp.on Turbulent Shear Flows. Vol.3. 13-16 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Ikuo, Nakamura: "On the diffusion of matter from a wall point source in a turbulent pipe flow" Proc.12th Australasian Fluid Mech.Conf.Vol.2. 569-572 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Yasuhiko, Sakai: "Diffusion in turbulent pipe flow using a stochastic model" JSME Int.JournalSer B. Vol.39-4. 667-675 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 角田博之: "直接シミュレーションによる等方性乱流中の物質拡散に対するペクレ数効果" 日本機械学会論文集(B編). 61・584. 1285-1292 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 辻義之: "非整数ブラウン運動による乱流速度の表現" 日本機械学会論文集(B編). 61・588. 2861-2868 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Yoshiyuki TSUJI: "On the Turbulent Velocity Representation by Fractional Brownian Motion" Proc.10th Symp.on Turbulent Shear Flows. 2. P2.55-P2.59 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Ikuo NAKAMURA: "An Application of Differential-Geometrical Methods in Statistics to a Turbulent Flow Field" Proc.10th Symp.on Turbulent Shear Flows. 3. P3.13-P3.16 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Ikuo NAKAMURA: "On the Diffusion of Matter from a Wall Point Source in a Turbulent Pipe Flow" Proc.12th Australasian Fluid Mech.Conf.2. 569-572 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Yasuhiko SAKAI: "Diffusion in Turbulent Pipe Flow Using a Stochastic Model" JSME Int.Journal Ser.B. 39.4. 667-675 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 酒井 康彦: "確率モデルによる管内乱流拡散に関する研究" 日本機械学会論文集(B編). 61. 853-860 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 中村 育雄: "壁面せん断流中の物質拡散の研究(第1報、円管壁面点源プルームの相似性)" 日本機械学会論文集(B編). 61. 1592-1599 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Ikuo NAKAMURA: "An Application of Differential-Geometrical Methods in Statistics to a Tyrbulent Flow Field" Proc.10th Symp.on Turbulent Shear Flows. 3. p3.13-p3.16 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Yoshiyuki TSUJI: "On the Turbulent Velocity Representation by Fractional Brownian Motion" Proc.10th Symp.on Turbulent Shear Flows. 2. P2.55-P2.59 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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