Second-order Knudsen-layer analysis for the generalized slip-flow theory II: Curvature effects
Second-order Knudsen-layer analysis for the generalized slip-flow theory II: Curvature effects
复制标题
广义滑流理论的二阶努森层分析 II：曲率效应
DOI：
10.1007/s10955-015-1364-0
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发表时间：
2015
影响因子：
1.6
通讯作者：
Masanari Hattori and Shigeru Takata
中科院分区：
文献类型：
--
作者：
榎本文雄(代表);河﨑豊;名和隆乾;畑昌利;古川洋平;Masanari Hattori and Shigeru Takata
基于硬球分子的线性化Boltzmann方程，在漫反射边界条件下，对二阶Knudsen层进行了数值分析。边界曲率的影响已被澄清的细节，从而完成所需的数值数据的二阶克努森数的玻尔兹曼方程的渐近理论（广义滑流理论）。当曲率存在时，在速度分布函数的水平上展开的结果是出现了局部奇异性。
Numerical analyses of the second-order Knudsen layer are carried out on the basis of the linearized Boltzmann equation for hard-sphere molecules under the diffuse reflection boundary condition. The effects of the boundary curvature have been clarified in details, thereby completing the numerical data required up to the second order of the Knudsen number for the asymptotic theory of the Boltzmann equation (the generalized slip-flow theory). A local singularity appears as a result of the expansion at the level of the velocity distribution function, when the curvature exists.