2013 Fiscal Year Final Research Report
Genelarized slip flow theory for stationary micro gas flows and its extension to nonstationary problems
| Project/Area Number |
23360083
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fluid engineering
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| Research Institution | Kyoto University |
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Principal Investigator |
TAKATA Shigeru 京都大学, 工学(系)研究科(研究院), 教授 (60271011)
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| Co-Investigator(Kenkyū-buntansha) |
KOSUGE Shingo 京都大学, 大学院・工学研究科, 助教 (40335188)
TAGUCHI Satoshi 電気通信大学, 情報理工学研究科, 助教 (90448168)
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| Project Period (FY) |
2011-04-01 – 2014-03-31
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| Keywords | 分子流体力学 / 希薄気体力学 / ボルツマン方程式 / すべり流 |
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| Research Abstract |
The present research aims at extending the conventional fluid dynamics to describe the gas behavior in the pressure range from 1 to about 1/10000 atmospheric pressure. This is an extension of the existing theory for time-independent cases to the theory for time-dependent cases. It is found that a new term should be added to the fluid-dynamic type equations due to the compressibility of the gas. A new phenomenon that is peculiar to the time-dependent systems are also found. From a technical viewpoint, the present research makes use of a new methodology that is base on a symmetric property of the Boltzmann equation, the equation which is the fundamental equation for a microscopic description of the gas. A numerical method has been newly developed in order to overcome some mathematical difficulties.
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