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A Study on the Turbulent Mixing and Chemical Reaction by the Stochastic Differential Equation and Random Fourier Modes Method

Research Project

Project/Area Number 13650174
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, Professor, 工学研究科, 教授 (20162274)

Co-Investigator(Kenkyū-buntansha) SUZUKI Takeshi  Mechanical Engineering Laboratory, National Institute of Advanced Industrial Science and Technology, Department of Computational Science, Senior Researcher, 計算科学研究部門, 主任研究官
NAKAMURA Yuji  Nagoya University, Graduate School of Engineering, Reseach Associate, 工学研究科, 助手 (50303657)
TSUNODA Hiroyuki  Yamanashi University, School of Engineering, Associate Professor, 工学部, 助教授 (10207433)
櫛田 武広  名古屋大学, 工学研究科, 助手 (90109281)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥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 / 確立微分方程式
Research Abstract

The progress and results of the research are summarized in the following,
Object (A) <Simulations by the Stochastic Model>___-
The axisimmetric plume from a point source in the fully developed turbulent pipe flow has been simulated by the probability density function method (pdf) method. The particle velocity was modeled by a stochastic differential equation (a generalized Langevin model expressed in the cylindrical coordinates), and the two kinds of molecular mixing model, i.e., the Dopazo's deterministic model and the modified Curl's model have been used. It is found that both models are useful to predict the radial profiles of the mean concentration and fluctuation r.m.s.concentration. Next, the reactive mixing layer with second-order chemical reaction in the grid-turbulence has been simulated by the pdf method. It is found that as the molecular mixing model the binomial Langevin model is suitable to predict the pdf of the reactive scalar quantities. Further, the new generalized Lange … More vin model for the axisymmetric turbulent jet has been developed, and the conserved scalar field has been simulated by the Dopazo's model. Consequently, the scalar moments up to the second-order could be predicted satisfactorily.
Object (B) <Simulations by the Random Fourier Modes Method>___-
At first, a new method to simulate the turbulent field around a two-dimensional circular cylinder has been developed by the combination of the random Fourier modes method, the rapid distortion theory and the wake vortex shedding model. Then, the distribution of the second-order moment and spectrum of the velocity field have been calculated and compared with the experimetal data. It is found that the simulation results show good agreements with the experimental data. Next, the reactive scalar mixing layer has been simulated by the combination of the randam Fourier modes method and two-particle backward diffusion technique or the molecular mixing model of the pdf method. The agreements between the simulation results and experimental data could be observed. Further, the simulation method of the turbulent flow around the various bluff bodied has been developed, and the statistics of the material line in the homogeneous isotropic turbulence has been investigated by the random Fourier modes method. Less

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] 酒井康彦: "運動学的モデルによる円柱周りの乱流統計量の計算"日本流体力学会年会2001講演論文集. 265-266 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Numerical Simulation of the Axisymmetric Point Source Plume in a Turbulent Pipe Flow by the Lagrangian POF Method"Proceedings of the First International Symposium on Advanced Fluid Information. 657-662 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "Lagrange的pdf法による円管内乱流中における軸対称点源プルームの数値シミュレーション"日本機械学会第79期流体工学部門講演会 講演論文集No.01-3. (CD-ROM) paper807. 1-4 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "PDF法による円管内乱流中のプルーム拡散に関する研究"第51回理論応用力学講演会講演論文集NCTAM2002. 283-284 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木健: "フーリエモード法と2粒子対逆拡散モデルによる反応性スカラー混合層の数値計算"第51回理論応用力学講演会講演論文集NCTAM2002. 285-286 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "フーリエモード法による円柱周りの乱流統計量の変化に関する研究"日本機械学会東海支部第51期総会講演会講演論文集No.023-1. 3-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Turbulent Plume Diffusion in a Pipe Flow by the PDF Method"Statistical Theories and Computational Approaches to Turbulence (Modern Perspectives and Applications to Global Scale Flows) Springer-Verlag. 113-126 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "フーリエモード法による鈍頭物体周りの乱流統計量の計算手法の開発"日本機械学会東海支部第52期総会講演会講演論文集No.033-1. 29-30 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Simulation of Turbulent Diffusion and Reactive Flows by the PDF Methods"京都大学数理解析研究所講究録. (印刷中). 1-17 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木 健: "ラグランジュpdfモデルとフーリエモード法による反応性スカラー混合層の数値シミュレーション"計算工学講演論文集. Vol.8(印刷中). 1-4 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "確率密度関数法による円管内乱流熱拡散場の数値シミュレーションの試み"日本機械学会第81期流体工学部門講演会講演論文集. (印刷中). 1-2 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 酒井康彦: "ランダムフーリエモード法による乱流中の物質線の統計的特性に関する研究"日本機械学会第81期流体工学部門講演会講演論文集. (印刷中). 1-2 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "A Simulation of Turbulent Statistics around a Cirlular Cylinder by the Kinemati c Model, in Japanese"Proceedings, 2001 Meeting of Japan Society of Fluid Mechanics. 265-266 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Numerical Simulation of the Axisymmetric Point Source Plume in a Turbulent Pipe Flow by the Lagrangian PDF Method"Proceedings of the First International Symposium on Advanced Fluid Information. 657-662 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Numerical Simulation of the Axisymmetric Point Source Plume in a Turbulent Pipe Flow by the Lagrangian PDF Method, in Japanese"Proceedings of the 79th JSME Fluids Engineering Division Conference [No.01-3], CD-ROM. paper No.807. 1-4 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "A Study on a Plume Diffusion in a Turbulent Pipe Flow by the PDF Method, in Japanese"Proceedings of the 51th Theoretical and Applied Mechanics Conference NCTAM. 283-284 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Suzuki et al.: "Numerical Simulation of Reactive Scalar Mixing Layer by Two-Particle Backward Diffusion Model and Fourier Modes Method, in Japanese"Proceedings of the 51th Theoretical and Applied Mechanics Conference NCTAM. 285-286 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "A Study on the Variation of Turbulent Statistics around the Circular Cylinder by Fourier Modes Method, in Japanese"Proceedings of the 51st Annual Metting of JSME Tokai Branch [No.023-1]. 3-4 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Development of Simulation method of Turbulent Statistics around a Bluff Body by a Random Fourier Modes"Proceedings of the 52nd Annual Metting of JSME Tokai Branch [No.033-1]. 29-30 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Simulation of Turbulent Diffusion and Reactive Flows by the PDF Method"Lecture Notes of the Institute of Mathematical Science in Kyoto University. in press. 17 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Suzuki et al.: "Numerical Simulation of Reactive Scalar Mixing Layer by Lagrangian PDF Method and Fourer Modes Method, in Japanese"Proceedings of the Computational Engineering. Vol.8, in press. 4 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Sakai et al.: "A Trial of Numerical Simulation of the Thermal Diffusion Flied in the Turbulent Pipe Flow by the PDF Method, in Japanese"Proceedings of the 91st JSME Fluids Engineering Divsion Conference. in press. 2 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Study on the Characteristics of Material line in the homogeneous isotropic pseudo turbulence by the Random Fourier Modes Method, in Japanese"Proceedings of the 91st JSME Fluids Engineering Divsion Conference. in press. 2 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sakai et al.: "Turbulent Plume Diffsion in a Pipe Flow by the PDF Method, Statistical Theories and Computational Approaches to Turbulence (Modern Perspective and Applications to the Global-Scale Flows)"Springer-Verlag. 113-116 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yasuhiko SAKAI: "Turbulent Plume Diffusion in a Pupe Flow by the PDF Method"Statistical Theories and Computational Approaches to Turbulence (Modern Perspective and Applicators Global-Scale Flows Spronger-Verlag). 113-126 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 酒井康彦: "フーリエモード法による鈍頭物体周りの乱流統計量の計算手法の開発"日本機械学会東海支部第52期総会講演会 講演論文集. No.033-1. 29-30 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yasuhiko SAKAI: "Simulation of Turbulent Diffusi n and Reactive Flows by the PDF Methods"京都大学数理解析研究所講究録. (印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 酒井康彦: "確率密度関数法による円管内乱流熱拡散場のシミュレーション"日本機械学会第81期流体工学部門講演会 講演論文集. (発表予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 酒井康彦: "ランダムフーリエモード法による乱流中の物質線の統計的特性に関する研究"日本機械学会第81期流体工学部門講演会 講演論文集. (発表予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 酒井康彦: "運動学的モデルによる円柱周りの乱流統計量の計算"日本流体力学会年会2001講演論文集. 265-266 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yasuhiko SAKAI: "Numerical Simulation of the Axisymmetric Point Source Plume in a Turbulent Pope Flow by the Lagrangian PDF Method"Proceedings of the First International Symposium on Advanced Flusd Information. 657-662 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 酒井康彦: "Lagrange的pdf法による円管内乱流中における軸対称点源プルームの数値シミュレーション"日本機械学会第79期流体工学部門講演会 講演論文集. CD-ROM paper 807. 1-4 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 酒井康彦: "PDF法による円管内乱流中のプルーム拡散に関する研究"第51回理論応用力学講演会 講演論文集 NCTAM2002. 283-284 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 鈴木 健: "フーリエモード法と2粒子対逆拡散モデルによる反応性スカラー混合層の数値計算"第51回理論応用力学講演会 講演論文集 NCTAM2002. 285-286 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 酒井康彦: "フーリエモード法による円柱周りの乱流統計量の変化に関する研究"日本機械学会東海支部第51期総会講演会講演論文集No.023-1. 3-4 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yasuhiko SAKAI: "Turbulent Plume Diffusion in a Pope Flow by the PDF Method"Proceedings of Nagoya Workshop 2001 Tstatistical theories and computational approaches to Turbulince. (印刷中). 1-13 (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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