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Studies on nonequilibrium phenomena in gas flows-New approach by hybrid micro-macro gasdynamics-

Research Project

Project/Area Number 10044151
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field Aerospace engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

SONE Yoshio  Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (80025923)

Co-Investigator(Kenkyū-buntansha) TAKATA Shigeru  Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (60271011)
OHWADA Taku  Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (40223987)
AOKI Kazuo  Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (10115777)
VINICIO Boff  ローマ大学, 工学部, 教授
CALRO Cercig  ミラノ工科大学, 工学部, 教授
杉元 宏  京都大学, 工学研究科, 講師 (50222055)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 1999: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1998: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsBenard problem / bifurcation / stability / evaporation and condensation / shock wave / vacuum pump / thermal creep flow / cylindrical Couette flow / 蒸気・凝縮 / 熱遷移流 / ボルツマン方程式 / テイラー・クエット流 / 希薄気体
Research Abstract

1. The two-dimensional Benard problem for a rarefied gas was studied by both Japanese group (JG) and Italian group (IG). JG found a new bound of the parameter region for a stable solution without a flow, which has not been known in classical fluid dynamics. JG also investigated the stability of multi-roll solutions and clarified the process of transition from unstable multi-roll solutions to stable ones. IG showed an example of the flow with chaotic behavior using the direct simulation Monte Carlo (DSMC) method.
2. JG studied bifurcation of the Couette flow between two coaxial circular cylinders made of the condensed phase of a gas. First, in the case where only the inner cylinder is rotating, the structure of the bifurcation was investigated by analyzing the initial-value problems by the DSMC method, and the relation between the initial conditions and the stable steady solutions was clarified. Next, in the general case, where the outer cylinder is also rotating, a systematic asymptotic … More analysis was carried out under the condition that the rotation of the cylinders is slow and the gas is slightly rarefied. As a result, the structure of the bifurcation was clarified comprehensively, and various new types of bifurcated solution were discovered.
3. JG performed an experimental study of the possibility of a vacuum pump using a rarefied gas flow induced by temperature fields. As a result, a flow consistent with the flow predicted numerically was observed, and the practicality of the pump was demonstrated. JG also summarized the previous results for the rarefied gas flows induced by temperature fields, including this experiment.
4. JG provided a comprehensive and systematic summary of the existing results for flows of a gas condensing onto its condensed phase and gave the information to IG.
5. JG and IG cooperated to study the structure of an infinitely strong shock wave and clarified the singularity in the velocity distribution function by means of a finite-difference method developed by JG. JG also developed a numerical scheme of higher accuracy for time-dependent problems of the Boltzmann equation. Less

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] Sone,Y.: "Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit"Annual Review of Fluid Mechanics. 32. 779-811 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Sone,Y.: "Kinetic theoretical studies of the half-space problem of evaporation and condensation"Transp. Theory Stat. Phys.. 印刷中. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Sone,Y.: "Bifurcation in cylindrical Couette flow with evaporation and condensation : Effect of initial condition"Rarefied Gas Dynamics (Cepodues, Toulouse, France). 1. 511-518 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Sone,Y.: "Stability of Benard multi-rolls in a rarefied gas"Rarefied Gas Dynamics (Cepodues, Toulouse, France). 1. 695-702 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Ohwada,T.: "Higher order time integration of spatially nonhomogeneous Boltzmann equation : Deterministic and stochastic computations"Transp. Theory Stat. Phys.. 印刷中. 515-523 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Sone: "Flow induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit"Annual Review of Fluid Mechanics. 32. 779-811 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Sone: "Kinetic theoretical studies of the half-space problem of evaporation and condensation"Transp. Theory Stat. Phys.. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Sone: "Bifurcation in cylindrical Couette flow with evaporation and condensation : Effect of initial condition"Rarefied Gas Dynamics (Cepadues, Toulouse, 2000). Vol. 1. 511-518

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Sone: "Stability of Benard multi-rolls in a rarefied gas"Rarefied Gas Dynamics (Cepadues, Toulouse, 2000). Vol. 1. 695-702

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Ohwada: "Higher order time integration of spatially nonhomogeneous Boltzmann equation : Deterministic and stochastic computations"Transp. Theory Stat. Phys.. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Sone: "Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit"Annual Review of Fluid Mechanics. 32. 779-811 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Sone: "Kinetic theoretical studies of the half-space problem of evaporation and condensation"Transp.Theory Stat. Phys.. (印刷中). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Sone: "Bifurcation in cylindrical Couette flow with evaporation and condensation: Effect of initial condition"Rarefied Gas Dynamics (Cepadues,Toulouse, France). 1. 511-518 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Sone: "Stability of Benard multi-rolls in a rarefied gas"Rarefied Gas Dynamics (Cepadues,Toulouse, France). 1. 695-702 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ohwada: "Higher order time integration of spatially nonhomogeneous Boltzmann equation : Deterministic and stochastic computations"Transp.Theory Stat. Phys.. (印刷中). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Yoshio Sone: "Stability of Benard multi-rolls in a rarefied gas" Rarefied Gas Dynamics(Cepadues,Toulouse,France). (印刷中). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Yoshio Sone: "Bifurcation in cylindrical Couette flow with evaporation and condensation: Effect of initial condition" Rarefied Gas Dynamics(Cepadues,Toulouse,France). (印刷中). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Yoshio Sone: "Kinetic theoretical studies of the half-space problem of evaporation and condensation" Transport Theory and Statistical Physics. (印刷中). (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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