Thermal transpiration for the linearized Boltzmann equation
Thermal transpiration for the linearized Boltzmann equation
复制标题
线性玻尔兹曼方程的热蒸腾
DOI：
10.1002/cpa.20167
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发表时间：
2007
影响因子：
3
通讯作者：
Y. Sone
中科院分区：
文献类型：
--
作者：
Chiun;I;Tai;Y. Sone
在硬球模型的线性玻尔兹曼方程的水平上研究了由于边界温度梯度而引起的热蒸腾现象。我们为两块板之间以及圆形管道中的高度稀薄气体构建了这样的流动。结果表明，平行于板的流速与边界温度梯度成正比。对于高度稀薄的气体，即努森数κ足够大，两板之间的流速为log κ量级，管道内的流速为有限量级。我们的分析基于线性玻尔兹曼方程解的某些逐点估计。 © 2006 Wiley 期刊公司。
The phenomena of thermal transpiration due to the boundary temperature gradient is studied on the level of the linearized Boltzmann equation for the hard‐sphere model. We construct such a flow for a highly rarefied gas between two plates and also in a circular pipe. It is shown that the flow velocity parallel to the plates is proportional to the boundary temperature gradient. For a highly rarefied gas, that is, for a sufficiently large Knudsen number κ, the flow velocity between two plates is of the order of log κ, and the flow velocity in a pipe is of finite order. Our analysis is based on certain pointwise estimates of the solutions of the linearized Boltzmann equation. © 2006 Wiley Periodicals, Inc.