Kinetic-theoretic studies of the effect of sharp edges of the boundary in low-pressure gases
Kinetic-theoretic studies of the effect of sharp edges of the boundary in low-pressure gases
批准号:
10650171
负责人:
AOKI Kazuo
金额:
$1.92万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
1998
资助国家:
日本
项目状态:
已结题
起止时间:
1998 至 1999
中文摘要
1. 均匀冷却或加热板边缘诱导稀薄气体流动的研究:在我们之前的论文中,我们通过直接模拟蒙特卡罗方法的数值分析表明,放置在稀薄气体中的均匀冷却或加热板的边缘诱导了相当强的气体流动。在本研究中,为了获得更高可靠性的结果,我们采用精确的动力学方程有限差分分析来研究流动。从而全面地澄清了气体的行为。特别是,在近连续介质情况下,流动比热蠕变流动和热应力引起的流动具有更强的影响。壁面温度不连续引起的稀薄气体流动的研究:我们研究了壁面温度不连续分布时在容器内引起的稀薄气体流动。应用1中提出的有限差分法,在较宽范围内精确地得到了气体稀薄度较大范围内的流动。我们发现,随着连续极限的逼近,虽然有明显流动的区域缩小到壁面温度的不连续线,但最大流动速度趋于有限值。此外,我们在具有气体动力学方程特征的简单输运方程的基础上,从数学上阐明了由边界数据中的奇点引起的奇点的传播。其他一些基本问题的研究:考虑到众所周知的由温度场引起的流动(热蒸腾流)的另一个方面,我们研究了通过设计温度分布和管道结构来控制管道内的流动(例如,引起单向流动)。我们还研究了气体混合物的连续统极限的基本特征,对它的理解有助于将1和2的分析推广到混合物的情况。少
英文摘要
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 finite-difference 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 finite-difference 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 well-known flow induced by a temperature field (thermal transpiration), we studied the control of the flow in a pipe (e. g., causing a one-way 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
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K. Aoki: "Numerical analysis of a rarefied gas flow induced near the edges of a uniformly cooled or heated plate"Book of Abstract, 4th International Congress on Industrial and Applied Mathematics (ICIAM99, Edinburgh, 1999). 155
K. Aoki:“均匀冷却或加热板边缘附近引起的稀薄气流的数值分析”摘要书,第四届国际工业与应用数学大会(ICIAM99,爱丁堡,1999 年)。
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通讯作者:
Kazuo Aoki: "Numerical analysis of a rarefied gas flow induced near the edges of a uniformly cooled or heated plate"Book of Abstract, the Fourth International Congress on Industrial and Applied Mathematics. 155 (1999)
青木一夫:“均匀冷却或加热板边缘附近引起的稀薄气流的数值分析”摘要书,第四届国际工业与应用数学大会。
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Kazuo Aoki: "A rarefied gas flow caused by a discontinuous wall temperature"Research Report, Section of Dynamics in Aeronautics and Astronautics Dept. of Aeronautics and Astronautics, Kyoto University. (1999)
青木和夫:“由不连续壁温引起的稀薄气流”研究报告,京都大学航空航天系航空航天动力学部分。
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Shigeru Takata: "Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory"Physics of Fluids. Vol.11, No.9. 2743-2756 (1999)
Shigeru Takata:“根据动力学理论,蒸汽和不可凝气体多组分混合物在连续介质极限中的两个表面问题”流体物理学。
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作者:
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通讯作者:
K. Aoki: "A rarefied gas flow caused by a discontinuous wall temperature"Research Report, Section of Dynamics in Aeronautics and Astronautics, Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University. 2000
K.青木:“由不连续壁温引起的稀薄气流”研究报告,京都大学工学研究科航空航天系航空航天动力学部。
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共 9 条
Drying and dehydration in swelling materials
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Discontinuous boundary conditions for the Boltzmann equation And generalization of slip boundary conditions
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Development and evaluation of a foot grip strength measurement tool for prediction of fall accident risk
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Prevalence of H. pylori Infection and Chronic Atrophic Gastritis in the Dominican Children
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Mathematical and physical study of micro- and nano-scale gas flows on the basis of the Boltzmann equation
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The Freezing in Colloidal Suspension and the Control of Fine Particles by Alternating Electric Field
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Epidemiological Study on the Effect of Helicobacter Pylori Infection on Chronic Atrophic Gastritis in Different Ethnic Groups
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The Effects of Electric Double Layer on Freezing and dehydration in Fine Packed Beds with Liquid Content
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依托单位:
Effect on life style to Helicobacter pylori infection and/or chronic atrophic gastritis in the tropics
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批准号:17590518
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.24万
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财政年份:2005
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Control of Microwave Heating in Rectangular Waveguide and Rectangular Cavity
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MATHEMATICAL AND PHYSICAL STUDIES ON SINGULAR FLUID-DYNAMIC LIMITS FOR THE BOLTZMANN EQUATION
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Characteristics of Molecular Forces for Freezing Including Fine Particles
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Comparative study on biomarkers of gastric cancer in residents of Japan, Dominican Republic, Tanzania, and China
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Characteristics of Microwave Heating Associated Phase Change Using A Rectangular Wave Guide
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Numerical and asymptotic analyses of the Boltzmann equation-Their engineering and mathematical aspects-
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Characteristics of Drying due to Microwave Heating
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财政年份:1996
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依托单位:
Study on characteristic motions of small particles in a gas mixture
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Heat Transfer with Phase Change Problems Using microwave heating
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Estimating Method of Recharging Groundwater from River or Lake
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A Study of Carbon-dioxide Removal due to Sublimation Utilizing LNG Cold
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海外基金