2011 Fiscal Year Final Research Report
Discontinuous boundary conditions for the Boltzmann equation And generalization of slip boundary conditions
| Project/Area Number |
21656026
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
AOKI Kazuo 京都大学, 大学院・工学研究科, 教授 (10115777)
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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)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 物理数学 |
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| Research Abstract |
When the boundary has a sharp edge or a discontinuous temperature, the"slip boundary condition"cannot describe the correct behavior of the gas even when the mean free path of gas molecules is much shorter than the characteristic length of the system. In the present study, it is clarified how the slip boundary condition is modified in such cases, with the help of accurate numerical analysis based on a model Boltzmann equation and indirect theoretical approach based on the symmetry relations of the linearized Boltzmann equation.
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