Rarefied gas flow around a sharp edge induced by a temperature field

被引:40
|
作者
Taguchi, Satoshi [1 ]
Aoki, Kazuo [2 ,3 ]
机构
[1] Univ Electrocommun, Dept Mech Engn & Intelligent Syst, Chofu, Tokyo 1828585, Japan
[2] Kyoto Univ, Grad Sch Engn, Dept Mech Engn & Sci, Kyoto 6068501, Japan
[3] Kyoto Univ, Grad Sch Engn, Adv Res Inst Fluid Sci & Engn, Kyoto 6068501, Japan
关键词
kinetic theory; microfluidics; non-continuum effects; NUMERICAL-ANALYSIS; BOLTZMANN-EQUATION; THERMAL CREEP; CONDENSED-PHASE; SPHERE; DISTRIBUTIONS; PROPAGATION; BOUNDARY; BODIES; WALL;
D O I
10.1017/jfm.2011.536
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A rarefied gas flow thermally induced around a heated (or cooled) flat plate, contained in a vessel, is considered in two different situations: (i) both sides of the plate are simultaneously and uniformly heated (or cooled); and (ii) only one side of the plate is uniformly heated. The former is known as the thermal edge flow and the latter, typically observed in the Crookes radiometer, may be called the radiometric flow. The steady behaviour of the gas induced in the container is investigated on the basis of the Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation and the diffuse reflection boundary condition by means of an accurate finite-difference method. The flow features are clarified for a wide range of the Knudsen number, with a particular emphasis placed on the structural similarity between the two flows. The limiting behaviour of the flow as the Knudsen number tends to zero (and thus the system approaches the continuum limit) is investigated for both flows. The detailed structure of the normal stress on the plate as well as the cause of the radiometric force (the force acting on the plate from the hotter to the colder side) is also clarified for the present infinitely thin plate.
引用
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页码:191 / 224
页数:34
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