Project/Area Number |
18K13684
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Research Category |
Grant-in-Aid for Early-Career Scientists
|
Allocation Type | Multi-year Fund |
Review Section |
Basic Section 19010:Fluid engineering-related
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Research Institution | Kyoto University |
Principal Investigator |
|
Project Period (FY) |
2018-04-01 – 2021-03-31
|
Project Status |
Completed (Fiscal Year 2020)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
|
Keywords | すべり流 / 音波 / ボルツマン方程式 / 分子気体力学 / 希薄気体 / 希薄気体力学 / 流体力学 |
Outline of Final Research Achievements |
In the present study, we try to extend the scope of application of the generalized slip-flow theory, which fluid-dynamically describes the behavior of a low-pressure gas or a gas in a small system. Simultaneously, we aim to enrich the numerical database required in that theory, thereby making it easier to access the generalized slip-flow theory. By the asymptotic analysis and the numerical analysis of the Boltzmann and its model equation, a slip-flow theory for the acoustic phenomena has been constructed and the numerical data required in the theory has been obtained for the Shakhov model.
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Academic Significance and Societal Importance of the Research Achievements |
マイクロ工学で重要な微小系の気体の振舞いは,通常の巨視的流体力学では正確に記述できない.この場合,通常は,微視的立場に立つ分子気体力学が必要になる.しかし,幸いにして,微小系流れの多くは物体表面での気体流速の「すべり」等を考慮して通常の流体力学を適切に補正すれば扱える(すべり流理論).従来,この理論は粘性・熱伝導性が支配的な拡散的現象を主な対象としていた.本研究では,この理論を拡張し,気体中の波動の現象を扱えるようになった.また,理論で必要なデータベースを充実化した.これらの成果は,分野での学術的意義に加え,実際の微小系気体流の解析のための枠組みを増強・整備できたという意義をもつと考えられる.
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