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Studies of the behavior of a binary gas mixture on the basis of kinetic theory

Research Project

Project/Area Number 03650147
Research Category

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

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionKYOYO UNIVERSITY

Principal Investigator

AOKI Kazuo  Kyoto University, Faculty of Engineering, Professor, 工学部, 教授 (10115777)

Co-Investigator(Kenkyū-buntansha) DOI Toshiyuki  College of Industrial Technology, Research Associate, 助手 (00227688)
WAKABAYASHI Masahiko  Kobe University of Mercantile Marine, Faculty of Mercantile Marine Science, Rese, 商船学部, 助手 (50191721)
Project Period (FY) 1991 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1993: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1992: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1991: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsMolecular Gas Dynamics / Rarefied Gas Dynamics / Evaporation / Condensation / Gas Mixture / Knudsen Layr / Negative Temperatur Gradient Phenomenon / Boltzmann Equation
Research Abstract

The behavior of a binary gas mixture was studied on the basis of molecular gas dynamics in the case where one of the components evaporates or condenses on the boundary surface. The main results are summarized as follows.
1. The behavior of high-speed flows of a vapor condensing on its plane condensed phase in the Presence of a noncondensable gas was clarified. In particular, the relation among the parameters of the condensed phase, those of the vapor at infinity, and the amount of the noncondensable gas that allows a steady solution was obtained explicitly.
2. Unsteady evaporating flows of a vapor from its plane condensed phase into a noncondensable gas were investigated by an accurate numerical analysis. The transition process to the two possible final steady states, i.e., (a) an equilibrium state at rest of the binary mixture without evaporation ; (b) a steady evporating flow of a pure vapor in which the noncondensable gas is swept away, was clarified in detail.
3. The hydrodynamic equation and its boundary condition describing the steady behavior of a mixture of a vapor and a noncondensable gas around arbitrarily shaped condensed phase, on which strong evaporation or condensation is taking place, in the continuum case were derived systematically from the Boltzmann equation.
4. The negative temperature gradient phenomenon occurring in a vapor flow between hot and cold condensed phases was investigated for the whole range of the Knudsen number in the case where evaporation and condensation are strong. The effect of a noncondensable gas on the vapor flow in the continuum case was also estimated on the basis of the hydrodynamic equation and boundary condition derived in 3.

Report

(4 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • 1991 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] Yoshio Sone: "Kinetic theory analysis of gas flows condensing on a plane condensed phase:Case of a mixture of a vapor and a noncondensable gas" Transport Theory and Statistical Physics. 21. 297-328 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 青木一生: "希薄気体力学" 航空宇宙工学便覧. 67-70 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: "Gas flows caused by evaporation and condensation on two parallel condensed phases and the negative temperature gradient:Numerical analysis by using a nonlinear kinetic equation" Physics of Fluids. 6. 1379-1395 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: "High-speed vapor flows condensing on a plane condensed phase in the presence of a noncondensable gas" Rarefied Gas Dynamics. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 土井俊行: "平面凝縮相から非凝縮性気体中への非定常蒸発流の気体論による数値解析" 真空. 37. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 青木一生: "中程度に希薄な気体の振舞" 分子気体力学. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 青木一生: "蒸発・凝縮を伴う流れ" 分子気体力学. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Yoshio Sone: ""Kinetic theory analysis of gas flows condensing on a plane condensed phase : Case of a mixture of a vapor and a noncondensable gas"" Transport Theory and Statistical Physics. Vol.21. 297-328 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: ""Rarefied Gas Dynamics" (in Japanese)" Handbook of Aerospace Engineering (Kouku-Uchu Kougaku Binran). 67-70 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: ""Gas flows caused by evaporetion and condensation on two parallel codensed phases and the negative temperature gradient : Numerical analysis by using a nonlinear kinetic equation"" Physics of Fluids. Vol.6. 1379-1395 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: ""High-speed vapor flows condensing on a plane condensed phase in the presence of a noncondensable gas"" Rarefied Gas Dynamics. (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Toshiyuki Doi: ""Numerical analysis of unsteady evaporating flows from a plane condensed phase into a noncondensable gas on the basis of kinetic theory" (in Japanese)" J.of Vacuum Society of Japan. Vol.37, (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: ""Behavior of a moderately rarefied gas" (in Japanese)" Molecular Gas Dynamics (Bunshi Kitai Rikigaku). (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: ""Gas flows with evaporation and condensation" (in Japanese)" Molecular Gas Dynamics (Bunshi Kitai Rikigaku). (in press). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuo Aoki: "Gas flows caused by evaporation and condensation on two parallel condensed phases and the negative temperature gradient:Numerical analysis by using a nonlinear kinetic equation" Physics of Fluids. 6. 1379-1395 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Kazuo Aoki: "High-speed vapor flows condensing on a plane condensed phase in the presence of a noncondensable gas" Rarefied Gas Dynamics(edited by B.Shizgal and D.P.Weaver AIAA). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 土井俊行: "平面凝縮相から非凝縮性気体中への非定常蒸発流の気体論による数値解析" 真空. 37. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 青木一生: "中程度に希薄な気体の振舞" 分子気体力学(日本流体力学会編). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 青木一生: "蒸発・凝縮を伴う流れ" 分子気体力学(日本流体力学会編). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yoshio Sone: "Kinetic theory analysis of gas flows condensing on a plane condensed phase:Case of a mixture of a vapor and a noncondensable gas" Transport Theory and Statistical Physics. 21. 297-328 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 青木 一生: "希薄気体力学" 航空宇宙工学便覧. 67-70 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kazuo Aoki: "High-speed vapor flows condensing on a plane condensed phase in the presence of a noncondensable gas" Rarefied Gas Dynamics. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Yoshio Sone: "Kinetic theory analysis of gas flows condensing on a plane condensed phase:Case of a mixture of a vapor and a noncondensable gas" Transport Theory and Statistical Physics. 21. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Kazuo Aoki: "Vapor flows condensing on a plane condensed phase in the presence of a noncondensable gas:kinetic theory analysis with spacial interest in supersonic flows" Rarefied Gas Dynamics. (1992)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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