Predicting the Knudsen paradox in long capillaries by decomposing the flow into ballistic and collision parts
Predicting the Knudsen paradox in long capillaries by decomposing the flow into ballistic and collision parts
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DOI：
10.1103/physreve.91.061001
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发表时间：
2015-06-10
影响因子：
2.4
通讯作者：
Valougeorgis, Dimitris
中科院分区：
文献类型：
--
作者：
Tatsios, Giorgos;Stefanov, Stefan K.;Valougeorgis, Dimitris
通过将粒子分布函数分解为弹道和碰撞两部分，对压力驱动下稀薄气体流过长毛细管时所观察到的著名的克努森悖论进行了定量研究.经典的通道，管，和管道Poilluille流被认为是。求解采用典型的直接模拟蒙特卡罗算法，辅以适当的粒子分解不确定性过程。计算证实，在自由分子和早期过渡区，弹道流的减少率大于碰撞流的增加率，从而推导出总流的Knudsen极小值。这一描述解释在一个精确的，定量的方式出现的努森最低和验证以前报道的定性物理参数。
The well-known Knudsen paradox observed in pressure driven rarefied gas flows through long capillaries is quantitatively explored by decomposing the particle distribution function into its ballistic and collision parts. The classical channel, tube, and duct Poiseuille flows are considered. The solution is obtained by a typical direct simulation Monte Carlo algorithm supplemented by a suitable particle decomposition indexation process. It is computationally confirmed that in the free-molecular and early transition regimes the reduction rate of the ballistic flow is larger than the increase rate of the collision flow deducing the Knudsen minimum of the overall flow. This description interprets in a precise, quantitative manner the appearance of the Knudsen minimum and verifies previously reported qualitative physical arguments.