1993 Fiscal Year Final Research Report Summary
Studies of the behavior of a binary gas mixture on the basis of kinetic theory
| Project/Area Number |
03650147
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fluid engineering
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| Research Institution | KYOYO UNIVERSITY |
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Principal Investigator |
AOKI Kazuo Kyoto University, Faculty of Engineering, Professor, 工学部, 教授 (10115777)
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| 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)
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| Project Period (FY) |
1991 – 1993
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| Keywords | Molecular Gas Dynamics / Rarefied Gas Dynamics / Evaporation / Condensation / Gas Mixture / Knudsen Layr / Negative Temperatur Gradient Phenomenon / Boltzmann Equation |
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| 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.
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