2010 Fiscal Year Final Research Report
Mathematical and physical study of micro- and nano-scale gas flows on the basis of the Boltzmann equation
| Project/Area Number |
20360046
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Engineering fundamentals
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
AOKI Kazuo Kyoto University, 大学院・工学研究科, 教授 (10115777)
|
|---|
| 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)
|
|---|
| 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)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| 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 |
|---|
| 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.
|
