Hagen-Poiseuille and thermal transpiration flows of a highly rarefied gas through a circular pipe

被引：2
|
作者：
Funagane, Hitoshi [1 ]
Takata, Shigeru [1 ,2 ]
机构：
[1] Kyoto Univ, Dept Mech Engn & Sci, Kyoto 6068501, Japan
[2] Kyoto Univ, Adv Res Inst Fluid Sci & Engn, Kyoto 6068501, Japan
来源：
FLUID DYNAMICS RESEARCH | 2012年 / 44卷 / 05期
关键词：
LINEARIZED BOLTZMANN-EQUATION; NUMERICAL-ANALYSIS; CREEP FLOW;
D O I：
10.1088/0169-5983/44/5/055506
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
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页数：17
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