| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
In this study, we aimed at extending the conventional "generalized slip flow theory" that assumes a smooth boundary condition to the case where the boundary condition has a jump discontinuity along the boundary. More specifically, a slightly rarefied gas confined in a two-dimensional channel with a discontinuous wall temperature is considered based on the linearized Boltzmann equation and it was found that the singularity with diverging flow velocity is served as the corresponding slip boundary condition for the overall flow velocity described by the Stokes equation. The strength of the singularity (the multiplicative factor) is determined by the analysis of a newly introduced spatially two-dimensional Knudsen-layer problem.
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