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A Study on the Turbulent Diffusion of Matter and Small Particles by the Random Fourier Modes Method and Stochastic Model

Research Project

Project/Area Number 09650183
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) YOSHIDA Takashi  Shinshu University School of Engineering Assistant Professor, 工学部, 講師 (90262857)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsFourier modes / Stochastic Process Model / Mixing / Diffsion / Homogenous Turbulence / Cylinder / Rapid Distortion Theory / Turbulent Pipe Flow
Research Abstract

This project has been put through according to the initial research plan. The progress and results of the research are summarized in the following,
Object (A) Simulation of plume diffusion field around the body in the three dimensional turbulent flow with a uniform mean velocity
(l) At first, we investigated the plume diffusion field from a point source developed in the grid-turbulence (in case of no body). The numerical simulations have been made by the random Fourier modes method and a Two-particle stochastic model. The simulation results obtained by both models show good agreements with the experimental results.
(2) The turbulent field around the body has been simulated by combining the random Fourier modes method and the rapid distortion theory. By using this simulated turbulent field, the characteristics of a point source plume running perpendicularly into the cylinder have been examined.
Furthermore, the reactive mixing layer in the grid-turbulence has been also simulated by the prob … More ability density function (pdf) method. From this time on, an application of this pdf method to the diffusion around the cylinder has been tried.
Object (B) Development of kinematic method to simulate the complex turbulent flows by the rapid distortion theory, ant its application to the simulation of diffusion fields
Mainly, the analytical solutions of the rapid distortion theory for the homogeneous turbulent shear flows and axisymmetric contraction/expansion flows have been surveyed. Consequently, it was found that in cases of the axisymmetric contraction/expansion flows there exist the temporally stable solutions, but the solution for the homogeneous turbulent shear flows are temporally unstable.
Besides the initial research plan, the diffusion fields of matter in the turbulent pipe flow has been investigated. Further, the fluctuation scalar statistics in the homogeneous isotropic turbulence were estimated from the Lagrangian trajectories of material particles obtained by the direct numerical simulation (DNS). Less

Report

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

    (23 results)

All Other

All Publications (23 results)

  • [Publications] 酒井康彦: "円管内スカラー拡散場の確率シミュレーション" 日本機械学会東海支部第47期総会講演会講演論文集. 983-1号. 125-126 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model" Advances in Turbulence VII (Proceedings of the 7th European Turbulence Conference). 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] J.C.Vassilicos: "Kinematic Simulations" Advances in Turbulence VII (Proceedings of the 7th European Turbulence Conference). 581-584 (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場の数値シミュレーション" 日本機械学会論文集(B編). 64巻・625号. 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] 酒井康彦: "ランダムフーリエモード法によるプルーム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巻・628号. 3970-3977 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "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. 印刷中. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Tsunoda: "Esumation of Scalar Statistics from Lagrangion Tragectories of Material Particles in Numerically Simulated Turbulence" Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. 印刷中. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "Stochastic Simulation of the Scalar Diffusion Field in the Turbulent Pipe Flow" Proceedings of the 47th Annual Meeting of TOKAI brunch of JSME. No.983-1. 125-126 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model" Advances Turbulence VII (Proceedings of the 7th European Turbulence Conference). 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] J.C.Vassilicos: "Kinematic Simulations" Advances Turbulence VII (Proceedings of the 7th European Turbulence Conference). 581-584 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Suzuki: "Numerical Simulation of Scalar Fluctuation Field by a Two-Particle Stochastic Model with Velocity Relations of the Lagrangian Tracers" Transactions of the Japan society of Mechanical Engineering (Series B). Volume 64, No.628. 3970-3977 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "Numerical Simulation of Scalar Fluctuation Field in a Non-Buoyant Plume by Random Fourier Modes" Transactions of the Japan society of Mechanical Engineering (Series B). Volume 64, No.628. 3970-3977 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Sakai: "Stochastic Simulation of Reactive-Scalar Mixing Layr in a Grid Turbulence by the PDF Method" Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. (to be published.). (1999)

    • 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 Lagrngian Trajectories of Material Particles in Numerically Simulated Turbulence" Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference. (to be published.). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 酒井康彦: "円管内スカラー拡散場の確率シミュレーション" 日本機械学会東海支部第47期総会講演会講演論文集. 983-1号. 125-126 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Sakai: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian model" Advances in Turbulence VII (Proceedings of the 7th European Turbulence Conference). 547-550 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.C.Vassilicos: "Kinematic Simulations" Advances in Turbulence VII (Proceedings of the 7th European Turbulence Conference). 581-584 (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場の数値シミュレーション" 日本機械学会論文集(B編). 64巻・625号. 2828-2835 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 酒井康彦: "ランダムフーリエモード法によるプルーム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巻・628号. 3970-3977 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Sakai: "Stochastic Simulation of Reactive-Scalar Mixing Layer in a Grid Turbulence by the Paf Method" Proceedings of 3rd ASME/JSME Joint Fluids Engineering Conference(発表予定). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 酒井康彦: "円管内スカラー拡散場の確率シミュレーション" 日本機械学会東海支部第46期総会講演会講演論文集. (発表予定). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 鈴木健: "ランダムフーリエモード法による減衰乱流中の変動スカラ場の数値シミュレーション" 日本機械学会第75期通常総会講演会講演論文集. (発表予定). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Sakai: "Turbulent Diffusion in the Pipe Flow by the Stochastic Lagrangian Model" Advance in Turbulence VII(Proceedings of the 7th European Turbulent Conference). (発表予定). (1998)

    • Related Report
      1997 Annual Research Report

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

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