Fluid modeling for the Knudsen compressor:Case of polyatomic gases
Fluid modeling for the Knudsen compressor:Case of polyatomic gases
复制标题
Knudsen 压缩机的流体建模：多原子气体案例
DOI：
10.3934/krm.2010.3.353
复制
发表时间：
2010
影响因子：
1
通讯作者：
K. Aoki
中科院分区：
文献类型：
--
作者：
S. Takata;H. Funagane;K. Aoki
一个描述多原子气体行为的流体动力学系统，
Knudsen压缩机，基于周期性排列的较窄和较宽的
二维通道和周期性锯齿形温度分布，
是派生的，使用多原子版本的
Boltzmann方程的椭球统计（ES）模型，
假设通道宽度远小于
压缩器的单位（窄通道近似）。
与相应的单原子流体动力学系统的差异
气体被证明是被限制在输运系数发生在
流体动力学方程它还表明，这些系数在本
多原子气体的情况下，很容易得到一个简单的转换，从
对应系数
对于单原子气体的BGK模型。一些数值模拟基于
流体动力学模型，结果表明，
Knudsen泵的性能受内部结构的影响很小
一个分子。
A fluid-dynamic system describing the behavior of a polyatomic gas in
a Knudsen compressor, based on a periodic arrangement of narrower and wider
two-dimensional channels and on a periodic saw-tooth temperature distribution,
is derived, using the polyatomic version of the
ellipsoidal statistical (ES) model of the Boltzmann equation, under the
assumption that the channel width is much smaller than the length of
a unit of the compressor (narrow channel approximation).
The difference from the corresponding fluid-dynamic system for a monatomic
gas is shown to be confined in the transport coefficients occurring in the
fluid-dynamic equation. It is also shown that these coefficients in the present
polyatomic-gas case are readily obtained by a simple conversion from the
corresponding coefficients
for the BGK model for a monatomic gas. Some numerical simulations based on the
fluid-dynamic model are carried out, the results of which show that the
properties of the Knudsen pump are little affected by the internal structure
of a molecule.
通过努森压缩机进行气体分离（特邀报告）
DOI：
--
发表时间：
2005
期刊：
影响因子：
--
作者：
Shigeru;Takata
通讯作者：
Takata