• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Solitary-wave solutions of the Navier-Stokes equation

Research Project

Project/Area Number 02805010
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Aerospace engineering
Research InstitutionUniverstiy of Tsukuba

Principal Investigator

TSUGE Shunichi  Univ. Tsukuba, Inst. Eng. Mech., Professor, 構造工学系, 教授 (50133020)

Co-Investigator(Kenkyū-buntansha) KYOTOH Harumichi  Univ. Tsukuba, Inst. Eng. Mech., Lecturer, 構造工学系, 講師 (80186345)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1991: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1990: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsTurbulence Theory / First Principles / Benard convection / 孤立波型解 / ベナ-ル対流 / 乱流予組合火炎
Research Abstract

A method of separation of variables introduced in the classical turbulence theory of fluctuation correlations is applied to inhomogeneous turbulence with density variation and chemical reactions. A system of equations consisting of the one governing mean thermo / gasdynamic quantities, namely, the Reynolds-averaged equations, and the other governing fluctuation correlations, each coupled through turbulent transport terms, are derived. The proposed formalism is applied to the problem of predicting velocity of a flame propagating In a turbulent premixed gas and of predicting Nusselt number of the Benard convection. Regarding the former, the system of equations constitutes an eigenvalue problem with the flame velocity as the eigenvalue, to be determined simultaneously with turbulent transports. Flame velocities calculated for a methaneair premixtare with varied turbulence intensities given at unburnt state are compared with existing experiments also with prediction by the renormalization group theory, and excellent agreement with experiment is observed. The application to the latter, namely high Rayleigh number regime(Ra> 5xlO^5)of Benard convection predicts the mean temperature distribution and the total turbulent heat transfer(the Nusselt number). The agreement is with existing experiment satisfactory considering that the theory does not include any empirical parameters. Power spectrum is also obtained through inverse-Fourier transform.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 柘植 俊一: "「第一原則」から乱流理論" 燃焼研究. 88. 43-59 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Ishibashi and S.Tsuge: "Turbulence as a solitary wave in a transformed space-time III.Benard turbulent convection" Physics Fluids.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Furutani, S. Tsuge and S. Goto: ""The dependence of carbon/hydrogen ratio on soot particle size"" SAE Technical paper Series. 920689. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S. Tsuge: ""Theory of turbulence from first principles" (a review, in Japanese)" Nensho Kenkyu. 88. 43 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S. Tsuge, Y. Ohki and S. Ogawa: ""Turbulence as a solitary wave in a transformed space-time II. Propagation of flames in turbulent premixed gases"" the Physics of Fluids.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Ishibashi and S. Tsuge: ""Turbulence as a solitary wave in a transformed space-time III. Turbulent Benard convection"" the Physics of Fluids.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 柘植 俊一: "「第一原則」からの乱流理論" 燃焼研究. 88. 43-59 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Ishibashi and S.Tsuge: "Turbulence as a solitary wave in a transformed spaceーtime III.Benard turbulent convection" Physics Fluids.

    • Related Report
      1991 Annual Research Report
  • [Publications] 石橋 一宏: "ベナ-ル対流の強い乱流解"

    • Related Report
      1990 Annual Research Report
  • [Publications] 柘植 俊一: "乱流燃焼の伝播速度"

    • Related Report
      1990 Annual Research Report
  • [Publications] 柘植 俊一: "剪断乱流の孤立波解"

    • Related Report
      1990 Annual Research Report
  • [Publications] 柘植 俊一: "準ソリトン解ー実用レイノルズ数域への乱流へのアプロ-チ" 日本航空宇宙学会第22期年会. (1991)

    • Related Report
      1990 Annual Research Report

URL: 

Published: 1990-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi