Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force

Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force
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不同调节系数麦克斯韦型边界两壁之间高度稀薄气体的平面泊肃叶流动和热蒸腾:弱外力的影响

DOI:
10.1007/s00033-014-0454-1
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发表时间:
2015
期刊:
Zeitschrift für angewandte Mathematik und Physik
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--
通讯作者:
T. Doi
T. Doi
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--
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--
作者:
T. Doi

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基于动力学理论,研究了不同调节系数的麦克斯韦型边界两壁之间的平面泊肃叶流动和高度稀薄气体在垂直于壁的微弱外力作用下的热蒸发。基于通过对纵向缓慢变化的渐近分析导出的硬球气体的空间一维玻尔兹曼方程,对流动行为进行了数值研究。由于弱外力的作用,当平均自由程足够大时,两壁互换的流动之间的质量流量存在明显差异。如果两个调节系数接近于1,则质量流量由于外力的影响而减小。相反,如果一个壁的调节系数远小于1,则当该壁放置在外力指向的一侧时,可以提高气体的质量流量。
Plane Poiseuille flow and the thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients are studied based on kinetic theory when the gas is subject to a weak external force perpendicular to the walls. The flow behavior is studied numerically based on the spatially one-dimensional Boltzmann equation for a hard-sphere gas derived by the asymptotic analysis for a slow variation in the longitudinal direction. Due to the effect of a weak external force, there is an appreciable difference in the mass-flow rate between the flows in which the two walls are interchanged when the mean free path is sufficiently large. If both of the accommodation coefficients are close to unity, the mass-flow rate is reduced due to the effect of the external force. In contrast, if the accommodation coefficient of one wall is considerably smaller than unity, the mass-flow rate of the gas can be enhanced when this wall is placed on the side to which the external force points.
Kazuo Aoki:“在存在不可凝气体的情况下,高速蒸汽流在平面凝相上凝结”稀有气体动力学。
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通过努森压缩机进行气体分离(特邀报告)
DOI: --
发表时间: 2005
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作者:
Shigeru;Takata
通讯作者: Takata