Mathematical and physical study of micro- and nano-scale gas flows on the basis of the Boltzmann equation
| Project/Area Number |
20360046
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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 |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
AOKI Kazuo Kyoto University, 大学院・工学研究科, 教授 (10115777)
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| Co-Investigator(Kenkyū-buntansha) |
TAKATA Shigeru 京都大学, 大学院・工学研究科, 准教授 (60271011)
KOSUGE Shingo 京都大学, 大学院・工学研究科, 助教 (40335188)
NISHIBATA Shinya 東京工業大学, 大学院・情報理工学研究科, 教授 (80279299)
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| Research Collaborator |
CHARRIER Pierre ボルドー第1大学, 教授(フランス)
DEGOND Pierre トゥールーズ第3大学, 教授(フランス)
GOLSE Francois エコール・ポリテクニク, 教授(フランス)
LIU Tai-ping スタンフォード大学, 教授(アメリカ)
MARKOWICH Peter ケンブリッジ大学, 教授(イギリス)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥18,330,000 (Direct Cost: ¥14,100,000、Indirect Cost: ¥4,230,000)
Fiscal Year 2010: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2009: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2008: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
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| Keywords | ボルツマン方程式 / 気体分子運動論 / マイクロ流体力学 / 移流拡散モデル / 応用数学 |
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| Research Abstract |
Diffusion-type equations that describe gas flows through a micro-nano channel with a width much shorter than the length was derived on the basis of molecular gas dynamics by a systematic asymptotic analysis. With the help of the derived equations, the properties of gas flows (in particular, gas flows through a twisty channel) were clarified. In addition, a direct numerical method based on molecular gas dynamics was constructed for wider micro channels.
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Report
(4 results)
Research Products
(74 results)
