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.

引用

页数：17

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