Nonlinear slip boundary conditions for the compressible Navier-Stokes equations
| Project/Area Number |
26630051
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Fluid engineering
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| Research Institution | Kyoto University |
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Principal Investigator |
Aoki Kazuo 京都大学, 工学(系)研究科(研究院), 教授 (10115777)
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| Co-Investigator(Kenkyū-buntansha) |
KOSUGE Shingo 京都大学, 工学研究科, 助教 (40335188)
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| Project Period (FY) |
2014-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Keywords | ボルツマン方程式 / ナヴィエ‐ストークス方程式 / すべり境界条件 / 希薄気体力学 / 非平衡気体 / 気体分子運動論 |
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| Outline of Final Research Achievements |
The correct slip boundary conditions for the compressible Navier-Stokes equations were derived in a mathematically systematic way on the basis of the Boltzmann equation, so that the fluid-dynamic system that replaces the Boltzmann system under wide conditions has been established. This facilitates the treatment of the nonlinear phenomena in low-pressure gases and gases in microscales with small Knudsen numbers. On the basis of this system, some basic problems, such as the propagation of nonlinear acoustic waves in a rarefied gas, the formation of stationary waves in a rarefied gas between two plates, the decay of the oscillation of a plate in a gas subjecting to a restoring force, have been analyzed numerically over a long time, and some peculiar phenomena have been clarified.
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Report
(3 results)
Research Products
(16 results)
