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Effect of rarefaction on a gas flow of reactive gas mixtures over a catalytic wall

Research Project

Project/Area Number 05650163
Research Category

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

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionOkayama University, Faculty of Engineering

Principal Investigator

YAMAMOTO Kyoji  Okayama University, Department of Mechanics, Professor, 工学部, 教授 (80026103)

Co-Investigator(Kenkyū-buntansha) NISHITANI Toshiyuki  Okayama University, Department of Mechanics Instructor, 工学部, 助手 (70164556)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1995: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1994: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1993: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsRarefied gas / Catalytic wall / Reactive gas / Gas wall interaction / すべり流 / クヌーセン層 / 内部自由度 / 触媒型 / 再結合 / クヌーセン流
Research Abstract

The flow of a reactive binary gas mixture over a catalytic plane wall is considered and the effect of rarefaction of the gas is investigated theoretically. The near-continuum equation as well as its boundary condition at the wall for small Knudsen numbers are obtained by applying the asymptotic expansion to a model equation of the Boltzmann equation. The results show that the diffusion velocity normal to the wall depends only on the reaction rate at the wall and that the slip coefficients of velocity and temperature vary considerably with the rate of the compositions. The high speed flow between two plates (Couette flow) was investigated using the equations and the boundary conditions obtained to clarify the effect of rarefaction on the heat transfer and flow. The similar calculation was made of the ternary mixture over a catalytic wall. It is shown that the jump of the temperature at the wall varies with the concentration ratio of the components and may have a positive or negative val … More ue according to the ratio.
The slip condition of vibrational temperature is derived from the vibrational energy balance at the egde of the Knudsen layr for multi-component gas. The condition is applied to the analysis of the nonequilibrium viscous shock layr of a hypersonic vehicle.
The free molecular flow of two component gas mixtures through a circular tube from a reservoir to a vacuum is analyzed theoretically to investigate the flux and reaction rate dependence on the tube length. the tube wall is catalytic and hence the reaction of gas mixtures proceeds to make the third species. The rate of product is shown to be almost independent on the tube length if it is aboutt two times as large as the tube radius.
The Couette flow of a rarefied gas is analyzed with the boundary condition in which the gas-wall interaction is treated by the molecular dynamics method. The result shows the big deviation with the diffuse reflection boundary condition especially for large Knudsen number.
The flow through a circular tube of high wall temperature is investigated experimentally to know the flux dependence on the Knudsen number. It is shown that the conductance decreases with increasing the temperature. Less

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] K. Yamamoto, T. Nishitani, M. Nishida: "Rarefied Gas Flow over a Catalytic Wall" Progress in Astronautics and Aeronautics (ed. B. D. Shizgal, AIAA). 159. 640-649 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Nishitani, K. Yamamoto: "Transient Behavior of a Rorefied Gas Mixture Due to Sydden Start of Reaction at an Infinite Plane Catalytic Wall" Progress in Astronautics and Aeronautics (ed. B. D. Shizgal, AIAA). 160. 189-196 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K. Yamamoto, T. Nishitani et al: "Slip Flow of a Binary Gas Mixture over a Catalytic Wall" Theoretical and Applied Mechanics. (ed. M. Hori, Uni. tokyo Press). 42. 221-232 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K. Yamamoto, T. Nishitani: "Rarefied Gas Flow of a Terrary Mixture over a Catalytic Wall" Rarefied Gas Dynamics (ed. J. Harvey, Oxford Uni. Press). 1. 237-243 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M. Nishida, K. Yamamoto et al: "Wall Slip Condition of Vibrational Temperature" Rarefied Gas Dynamics (ed. J. Harvey, Oxford Uni. Press). 2. 981-987 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Kyoji Yamamoto, Toshiyuki Nishitani and Michio Nishida: "Rarefied Gas Flow over a Catalytic Wall" Progress in Astronautics and Aeronautics (ed.B.D.Shizgal, AIAA). Vol.159. 640-649 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Toshiyuki Nishitani and Kyoji Yamamoto: "Transient Behavior of a Rarefied Gas Mixture Due to Sudden Start of Reaction at an Infinite Plane Catalytic Wall" Progress in Astronautics and Aeronautics (ed.B.D.Shizgal, AIAA). Vol.160. 189-196 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Kyoji Yamamoto, Toshiyuki Nishitani, Takashi Nakao and Michio Nishida: "Slip Flow of a Binary Gas Mixture over a Catalytic Wall" Theoretical and Applied Mechanics (ed.M.Hori, Univ.Tokyo Press). Vol.42. 221-232 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Kyoji Yamamoto and Toshiyuki Nishitani: "Rarefied Gas Flow of a Ternary Mixture over a Catalytic Wall" Rarefied Gas Dynamics (ed.J.Harvey, Oxford Univ.Press). Vol.1. 237-243 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Nishida, K.Tanabe, Y.Sakamura and K.Yamamoto: "Wall Slip Condition of Vibrational Temperature" Rarefied Gas Dynamics (ed.J.Harvey, Oxford Univ.Press). Vol.2. 981-987 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Yamamoto,T.Nishitani: "Rarefied Gas Flow of a Ternary Mixture over a Catalytic Wall" Rarefied Gas Dynamics (ed.Harvey,Oxford). Vol.1. 237-243 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] M.Nishida,K.Yamamoto et al: "Wall Slip Condition of Vibrational Temperature" Rarefied Gas Dynamics (ed.Harvey,Oxford). Vol.2. 981-987 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Kyoji Yamamoto,Toshiyuki Nishitani 他: "Rerefied Gas Flow over a Catalytic Wall" Progress in Astron.and Aeron.159. 640-649 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Toshiyuki Nishitani,Kyoji Yamamoto: "Transient Behavior of a Rerefied Gas Mixture to Sudden Start of Reaction at an Infinite Plane Catalytic Wall" Progress in Astron.and Aeron.160. 189-196 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Kyoji Yamamoto,Toshiyuki Nishitani 他: "Slip Flow of a Binary Gas Mixture over a Catalytic Wall" Theoretical and Applied Mechanics. 42. 221-232 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Kyoji Yamamoto,Toshiyuki Nishitani 他: "Rarefied Gas Flow over a Cataiytic Wall" Rarefied Gas Dynamics. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Toshiyuki Nishitani,Kyoji Yamamoto: "Transient Behavior of a Rarefied Gas Mixture to Sudden Start of Reaction at an Infinite Plane Catalytic Wall" Rarefied Gas Dynamics. (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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