Hagen-Poiseuille and thermal transpiration flows of a highly rarefied gas through a circular pipe
Hagen-Poiseuille and thermal transpiration flows of a highly rarefied gas through a circular pipe
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哈根-泊肃叶和高度稀薄气体通过圆形管道的热蒸腾流
DOI：
10.1088/0169-5983/44/5/055506
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
H. Funagane and S. Takata
中科院分区：
文献类型：
--
作者：
Le Quynh Hoa;Hiroyuki Yoshikawa;Masato Saito and Eiichi Tamiya;H. Funagane and S. Takata
基于具有漫反射边界条件的硬球分子线性玻尔兹曼方程，研究了高度稀薄气体通过圆管的哈根-泊肃叶流和热蒸腾流。执行基于具有显式收敛估计的迭代近似方法的数值计算，以构建大努森数的任意值的质量通量的数据库。稀薄区域中速度分布函数的奇异行为也得到了澄清。
Hagen–Poiseuille and thermal transpiration flows of a highly rarefied gas through a circular pipe are investigated on the basis of the linearized Boltzmann equation for hard-sphere molecules with the diffuse reflection boundary condition. A numerical computation based on an iterative approximation method with an explicit convergence estimate is performed to construct a database of the mass fluxes for an arbitrary value of large Knudsen numbers. The singular behavior of the velocity distribution functions in that rarefied regime is also clarified.