STEADY GAS FLOWS PAST BODIES AT SMALL KNUDSEN NUMBERS : BOLTZMANN AND HYDRODYNAMIC SYSTEMS(Mathematical Analysis of Fluid and Plasma Dynamics I)
STEADY GAS FLOWS PAST BODIES AT SMALL KNUDSEN NUMBERS : BOLTZMANN AND HYDRODYNAMIC SYSTEMS(Mathematical Analysis of Fluid and Plasma Dynamics I)
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稳定气体以小克努森数流过物体：玻尔兹曼和流体动力学系统（流体和等离子体动力学的数学分析 I）
DOI：
10.1080/00411458708204658
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发表时间：
1987
影响因子：
1.7
通讯作者：
K. Aoki
中科院分区：
文献类型：
--
作者：
Y. Sone;K. Aoki
本文研究了当系统的雷诺数为1时，小Knudsen数的定常气体绕任意物体的流动（一般区域上Boltzmann方程的非定常边值问题的解在小Knudsen数下的渐近行为）。将Boltzmann-Krook-Welander方程的广义滑移流理论推广到标准Boltzmann方程。从结果中阐明了气体稀薄对流动的影响（玻尔兹曼与流体力学系统之间的关系），并导出了气体中封闭体所受力的几个特征。
Abstract Steady gas flows at small Knudsen numbers around arbitrary bodies (Asymptotic behavior for small Knudsen numbers of the solution of time-independent boundary value problems of the Boltzmann equation over a general domain) are considered when the Reynolds number of the system is of the order of unity. The generalized slip flow theory developed for the Boltzmann-Krook-Welander equation is extended for the standard Boltzmann equation. From the result, the effect of gas rarefaction on the flow (the relation between Boltzmann and hydrodynamic systems) is clarified, and several features of the force on a closed body in the gas are derived.