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Research on Turbulent Diffusion from Instantaneous Source of Matter and Its Mathematical Modelling

Research Project

Project/Area Number 08650194
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionYAMANASHI UNIVERSITY

Principal Investigator

TSUNODA Hiroyuki  Dept.of Mechanical System Engineering, Yamanashi University, Associate Professor, 工学部, 助教授 (10207433)

Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1998: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 1997: ¥200,000 (Direct Cost: ¥200,000)
KeywordsFluid Engineering / Turbulence / Turbulent Diffusion / Laster Induced Fluorescence / Concentration Measurement / CFD / Stochastic Model / Lagrangian Properties / 確率モデル / 流れの可視化 / 画像処理 / マルコフ過程
Research Abstract

1 . Development of Measurement System of Instantaneous Concentration Field
A method based on Laser-Induced-Fluorescence (LIF) has been adopted for the measurement of instantaneous concentration field of matter in turbulent flow. A preliminary examination has been conducted to select an appropriate fluorescent dye which emits enough strong luminescent light for the incidence laser beam (YAG laser) to realize a high-precision quantitative measurement of instantaneous concentration of dye. Results of the absorption and luminescence spectra showed that Rhodamine B and Rhodamine 6G are most appropriate for our purposes. Furthermore, a good linear relation between the concentration of dye and the luminescence intensity has been found to exist in the range of the concentration less than 1 mg/l These results suggest that our system could be available enough for the measurement of instantaneous concentration of matter.
2. Modelling for the Numerical Prediction of Turbulent Diffusion based on Lagrangian Method
A combined method of Eulerian and Lagrangian techniques has been deve1oped for the calculation of statistics of a fluctuating sca1air field in turbulence. In this model, the Eulerian velocities which are obtained by a DNS method are used to compute the Lagrangian trajectories of material particles. Then, concentration statistics are estimated on the basis of stochastic theory for the Markovian process. This method can be applied into a diffusion field with high Prandtl number and any higherorder statistics can be obtained in principle.
The effects of the Prandtl number on the scalar dispersion in isotropic homogeneous turbulence have been investigated. It is found that the decay of the scalar variance has a. strong dependence of the Prandtl number whereas the turbulence/scalar time-scale ratio seems to approach to an asymptotic value which is independent of the Prandtl number .

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] Hiroyuki TSUNODA: "Estimation of Scalar Statistics from Lagrangian Trajectories of Material Particles in Numerically Simulated Turbulence" Proceedings of the 3rd ASME/JSME Joint Fluides Engineering. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Sasaki, Y.: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model" Advances in Turbulence (Kluwer Academic Pub.). 7. 547-550 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 角田 博之: "ラグランジュ手法による数値乱流中一様スカラ場の解析" 日本機械学会関東支部山梨講演会講演論文集. 980-3. 173-174 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 鈴木 健: "ラグランジュ的な粒子速度の関係を用いた2粒子対確率過程モデルによる変動スカラー場の数値シミュレーション" 日本機械学会論文集(B編). 64・625. 2828-2835 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Diffusion in Turbulent Pipe Flow Using a Stochastic Model" JSME International Journal. 39・4. 667-675 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 角田 博之: "乱流直接計算法による流体粒子対の相対拡散に関する研究" 日本機械学会第74期全国大会講演論文集(III). 96・15. 263-264 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroyuki TSUNODA: ""Estimation of Scalar Atatistics from Lagrangian Trajectories of Material Particles in Numerically Simulated Turbulence"" Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. (in press). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: ""Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model"" Advances in Iurbulence (Kluwer Academic Pub.). Vol.7. 547-550 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroyuki TSUNODA: ""Estimation of Scalar Statistics from Lagrangian Trajectories of Particles in Numerically Simulated Homogeneous Turbulence"" Proceeding of the JSME Yamanashi District Conference (in Japanese). No.980-3. 173-174 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Takeshi SUZUKI: ""Numerical Simulation of Scalar Fluctuation Field by a Two-Particle Stochastic Model with Velocity Relations of the Lagrangian Tracers"" Trans.Japan Soc.Mech.Engng. [B] (in Japanese). Vol.64, No.625. 2828-2835 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: ""Diffusion in Turbulent Pipe Flow Using a Stochastic Model"" JSME International Journal. Vol.39, No.4. 667-675 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hiroyuki TSUNODA: ""Direct Numerical Simulation of Relative Dispersion of Fluid Particle-Pairs"" Proceeding of the 74th JSME Fall Annual Meeting [Vol.III] (in Japanese). No.96-15. 263-264 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Tsunoda: "Estimation of Scalar Statistics from Lagrangian Trajectories of Material Particles in Numerically Simulated Turbulence" 3rd ASME/JSME Joint Fluids Engineering Conference&FED Sum-mer Meeting. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Sakai, Y.: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model" Advances in Turbulence (Kluwer Academic Pub.). 7. 547-550 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 角田 博之: "ラグランジュ手法による数値乱流中一様スカラ場の解析" 日本機械学会関東支部山梨講演会講演論文集. 980-3. 173-174 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 鈴木 健: "ラグランジュ的な粒子速度の関係を用いた2粒子対確率過程モデルによる変動スカラー場の数値シミュレーション" 日本機械学会論文集(B編). 64-625. 2828-2835 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Yasuhiko SAKAI: "Diffusion in Turbulent Pipe Flow Using a Stochastic Model" JSME International Journal. 39・4. 667-675 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 角田 博之: "乱流直接計算法による流体粒子対の相対拡散に関する研究" 日本機械学会第74期全国大会講演論文集(III). 96・15. 263-264 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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