Project/Area Number  10650171 
Research Category 
GrantinAid for Scientific Research (C).

Section  一般 
Research Field 
Fluid engineering

Research Institution  KYOTO UNIVERSITY 
Principal Investigator 
AOKI Kazuo Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (10115777)

CoInvestigator(Kenkyūbuntansha) 
INAMURO Takaji Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (20263113)
SUGIMOTO Hiroshi Kyoto University, Graduate School of Engineering, Lecturer, 工学研究科, 講師 (50222055)
TAKATA Shigeru Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (60271011)

Project Fiscal Year 
1998 – 1999

Project Status 
Completed(Fiscal Year 1999)

Budget Amount *help 
¥3,000,000 (Direct Cost : ¥3,000,000)
Fiscal Year 1999 : ¥900,000 (Direct Cost : ¥900,000)
Fiscal Year 1998 : ¥2,100,000 (Direct Cost : ¥2,100,000)

Keywords  lowpressure gases / Boltzmann equation / velocity distribution function / propagation of singularities / Knudsen number / kinetic theory of gases / rarefied gas dynamics / mean free path / 低圧気体 / ボルツマン方程式 / 速度分布関数 / 特異性の伝播 / クヌーセン数 / 気体分子運動論 / 希薄気体力学 / 平均自由行程 / 端的特異性 / 熱ほふく流 
Research Abstract 
1. Study of a rarefied gas flow induced around edges of a uniformly cooled or heated plate : In our previous paper, we showed, by means of a numerical analysis using the direct simulation Monte Carlo method, that a fairly strong gas flow is induced around the edges of a uniformly cooled or heated plate placed in a rarefied gas. In the present study, in order to obtain the result with higher reliability, we investigated the flow by an accurate finitedifference analysis of a kinetic equation. As a result, the behavior of the gas was clarified comprehensively. In particular, it was confirmed that the flow has a stronger effect than the thermal creep flow and the flow induced by the thermal stress in the near continuum case. 2. Study of a rarefied gas flow caused by a discontinuous wall temperature : We have investigated a rarefied gas flow induced in a container when the temperature of the wall of the container has a discontinuous distribution. The flow was obtained accurately for a wide ra
… More
nge of the degree of gas rarefaction by applying the finitedifference method developed in 1. We showed that, as the continuum limit is approached, though the region with an appreciable flow shrinks to the discontinuity line of the wall temperature, the maximum speed of the flow tends to approach a finite value. In addition, we have clarified the propagation of singularities, caused by the singularities in the boundary data, mathematically on the basis of a simple transport equation that possesses the feature of the equations in kinetic theory of gases. 3. Studies of some other fundamental problems : Paying attention to another aspect of a wellknown flow induced by a temperature field (thermal transpiration), we studied the control of the flow in a pipe (e. g., causing a oneway flow) by devising the temperature distribution as well as the configuration of the pipe. We have also investigated the fundamental features of the continuum limit for gas mixtures, the understanding of which facilitates the extension of the analyses of 1 and 2 to the case of the mixtures. Less
