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A Study on the Turbulent Mixing and Chemical Reaction by the Stochastic Process Model and Random Fourier Modes Method

Research Project

Project/Area Number 11650171
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

SAKAI Yasuhiko  Nagoya University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (20162274)

Co-Investigator(Kenkyū-buntansha) SUZUKI Takeshi  Mechanical Engineering Laboratory, National Institute of Advanced Industrial Science and Technology, Department of Applied Physcis and Information Science, Senior Researcher, 物理情報部, 主任研究官
KUSHIDA Takehiro  Nagoya University, Graduate School of Engineering, Reseach Associate, 工学研究科, 助手 (90109281)
TSUNODA Hiroyuki  Yamanashi University, School of Engineering, Associate Professor, 工学部, 助教授 (10207433)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2000: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1999: ¥2,900,000 (Direct Cost: ¥2,900,000)
KeywordsStochastic Process Model / Fourier Modes Method / Turbulence / Mixing / Chemical Reaction / Molecular Mixing Model / Rapid Distortion Theory / Turbulent Pipe Flow
Research Abstract

The progress and results of the research are summarized in the following,
Object (A) Simulations by the Stochastic Model
The reactive mixing layer with second-order chemical reation in the grid-turbulence has been simulated by the probability density function (pdf) method. The particle velocity was modeled by a simplified Langevin model. Three kinds of mixing models, such as the Curl's model, modified Curl's model and binomial Langevin model have been used. It is found that the binomial Langevin model is most suitable to predict the pdf of the reactive scalar quantities. Next, the thermal diffusion field from the axisymmetric heated line source has been simulated by using a generalized Langevin model and the binomial sampling model. The simulation results of the tempareature field up to second-order moment are in good agreement with the experimental data. Further, the plume of matter from the wall point source in the turbulent water pipe flow has been also investigated.
Object (B) Simulations the Random Fourier Modes Method
At first, we investigated the non-reactive plume developed in the grid-turbulence by the random Fourier modes method and two-particle backward diffusion technique. In case of the point source plume, the mean and r.m.s. fluctuation values of scalar quantity show good agreements with the experimetal results. Next the plume around the two-dimensional cylinder in the grid-turbulence has been investigated. The point source plume impinging perpendiculary on the cylinder has been simulated. The simulation results showed that the velocity induced by the wake vortices gives the important role on the spread of the diffusion around the cylinder. From this time on, the non-reative and reactive plume around the cylinder will be investigated by introducing the vortex shedding model into the wake.

Report

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

    (34 results)

All Other

All Publications (34 results)

  • [Publications] Y.Sakai: "Stochastic simulation of Reactive -Scalar Mixing Layer in a Grid Turbulence by the PDF Method"Proceedings of 3rd ASME/JSME Joint Fluids Engineering Conference. CD-ROM paper No.7771. 1-8 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunoda : "Estimation of Scalar Statistics from Lagrangian Trajectories of Material Particles in Numerically Simulated Turbulence"Proceedings of 3rd ASME/JSME Joint Fluids Engineering Conference. CD-ROM paper No.7755. 1-8 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "PDF法による液相反応性スカラ混合層の数値計算(分子拡散モデルに対する確率過程モデルの評価)"日本機械学会論文集(B編). 65巻・636号. 2681-2688 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "運動学的モデルによる円柱周りの物質拡散場のシミュレーション"日本機械学会流体工学部門講演会講演論文集[No.99-19]. 313-314 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 角田博之: "等方一様乱流中におけるスカラ拡散場のラグランジュ特性に関する研究"日本機械学会流体工学部門講演会講演論文集[No.99-19]. 469-470 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "フーリエモードとBurgers渦による擬一様等方性乱流における二粒子拡散"第13回数値流体力学シンポジウム講演論文集. CD-ROM論文番号B03-3. 1-4 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "集中渦を含む擬一様等方性乱流場の運動学的シミュレーションと2粒子相対拡散"京都大学数理解析研究所講究録. 1141. 91-103 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "円管内乱流拡散場の確率シミュレーション"流体熱工学研究. 35巻・1号. 143-150 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 角田博之: "確率モデルによるチャネル乱流中粒子拡散場の数値シミュレーション"日本機械学会流体工学部門講演会講演論文集[No.00-14]. CD-ROM論文番号G702. 1-4 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "円管内乱流中の壁面点源プルーム拡散場の確率シミュレーション"日本機械学会第13回計算力学講演会講演論文集[No.00-17]. 151-152 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai: "Simulation of Scalar Fluctuation Field by a Non-Buoyant Plume in Grid-generated Turbulence by Random Fourier Modes Method"IUTAM Symposium on Geometry and Statistics of Turbulence. 191-196 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Stochastic Simulation of Reactive-Scalar Mixing Layer in a Grid Turbulence by the PDF Method"Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. (CD-ROM) paper No.7771. 1-8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunoda et al.: "Estimation of Scalar Statistics from Lagrngian Trajectories of Material Particles in Numerically Simulated Turbulence"Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. (CD-ROM) paper No.7755. 1-8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Numerical Simulation of Reactive-Scalar Mixing Layer in Liquid Phase by the PDF Method (Evaluation of Stochastic Process Models for Molecular Diffusion)"Transactions of the Japan Society of Mechanical Engineering (Series B). Volume 65, No.636 (in Japanese.). 2681-2688 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "A Simulation of the Diffusion Field of Matter Around a Circular Cylinder by the Kinematic Model"Proceedings of the JSME Fluids Engineering Division Conference. No.99-19. 313-314 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunoda et al.: "Lagrangian Statistics for Diffusion Field of Passive Scalar in Isotropic Homogeneous Turbulence"Proceedings of the JSME Fluids Engineering Division Conference. No.99-19 (in Japanese). 469-470 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Two-particle Dispersion in Homogeneous Isotropic Turbulent-like Flow by Random Fourier Modes and Burgers Vortices"Proceedings of the 13th Symposium on Computational Fluid Mechanics. (CD-ROM) paper No.B03-3 (in Japanese). 1-4 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Kinematic Simulation of the Pseudo-Homogeneous Isotropic Turbulence with the Intensive Vorticies and Two Particle Relative Diffusion"Lecture Notes of the Institute of Mathematical Science in Kyoto University. Volume 1141 (in Japanese). 91-103 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Stochastic Simulation on the Diffusion Field in the turbulent Pipe Flow"Fluid & Heat Engineering Reseach. Volume 35, No.1 (in Japanese). 143-150 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Tsunoda et al.: "Lagrangian Stocastic Simulation of Particle Dispersion in a Turbulent Channel Flow"Proceedings of the JSME Fluids Engineering Division Conference. No.00-14, (CD-ROM) paper No.G702 (in Japanese). 1-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Stocastic Simulation of the Plume Diffusion Field from a Wall Point Source in a Turbulent Pipe Flow"Proceedings of the 13th JSME Computational Mechanics Conference. No.00-17 (in Japanese). 151-152 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Simulation of Scalar Fluctuation Field by a Non-Buoyant Plume in Grid-Generated Turbulence by Random Fourier Modes Method IUTAM Symposium on Geomety and Statistics of Turbulence"Kluwer Academic Publishers. 191-196 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 酒井康彦: "集中渦を含む擬一様等方乱流場の運動学的シミュレーションと2粒子相対拡散"京都大学 数理解析研究所 講究録. 1141. 91-103 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 酒井康彦: "円管内乱流拡散場の確率シミュレーション"流体熱工学研究. 35巻・1号. 143-150 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 角田博之: "確率モデルによるチャネル乱流中粒子拡散場の数値シミュレーション"日本機械学会流体工学部門講演会講演論文集〔No.00-14〕. CD-ROM論文番号G702. 1-4 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 酒井康彦: "円管内乱流中の壁面点源プルーム拡散場の確率シミュレーション"日本機械学会第13回計算力学講演会講演論文集〔No.00-17〕. 153-154 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Sakai: "Simulation of Scalar Fluctuation Field by a Non-Baoyant Plume in Grid-Generated Tarbulence by Random Fourier Modes Mathod"IUTAM Symposium on Geometry and Statistus of Turbulence. 191-196 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Sakai: "Stochastic Simulation of Reactive-Scalar Mixing Layer in a Grid Turbulence by the PDF Method"Proceedings of 3rd ASME/JSME Joint Fluids Engineering. CD-ROM Paper No.7771. 1-8 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Tsunoda: "Estimation of Scalar Statistics from Lagrangian Trajectories of Material Particles in Numerically Simulated Turbulence"Proceedings of 3rd ASME/JSME Joint Fluids Engineering Confexence. CD-ROM Paper No.7755. 1-8 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 酒井康彦: "運動学的モデルによる円柱周りの物質拡散場のシミュレーション"日本機械学会流体工学部門講演会講演論文集[No.99-19]. 313-314 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 酒井康彦: "フーリエモードとBurgers渦による疑似一様等方性乱流場における2粒子拡散"第13回数値流体力学シンポジウム,講演論文集. CD-ROM 論文番号 B03-3. 1-4 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 酒井康彦: "PDF法による液相反応性スカラ混合層の数値計算(分子拡散に対する確率過程モデルの評価)"日本機械学会論文集(B編). 65巻・636号. 2681-2688 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Sakai: "Simulation of Scalar Fluctuation Field by a Non-Buoyant Plume in Grid-Generated Turbulence by Rundom Fourier Modes Method"Proceedings of IUTAM Symposium on Geoetry and Statisties on Turbulence. (印刷中). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 酒井康彦: "円管内乱流拡散場の確率シミュレーション"流体熱工学研究. 35巻・1号 (印刷中). (2000)

    • Related Report
      1999 Annual Research Report

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

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