Boundary slip phenomena in a binary gas mixture

Boundary slip phenomena in a binary gas mixture
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二元气体混合物中的边界滑移现象

DOI:
10.1007/s00033-002-8142-y
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发表时间:
2002
期刊:
Zeitschrift für angewandte Mathematik und Physik ZAMP
影响因子:
--
通讯作者:
R. Tompson
R. Tompson
中科院分区:
--
文献类型:
--
作者:
I. N. Ivchenko;S. Loyalka;R. Tompson

文献摘要

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气体混合物中的滑移现象对于滑移区流动边界条件的确定具有重要意义。 在最近的一篇论文中,新的明确的结果适用于二元气体混合物的滑移系数的报告。 目前的工作正在报告中扩展了以前的工作,以更高的精度,涉及更高阶的Chapman-Enskog扩展。 特别是,新的表达式的滑移系数是适用于任意模型的分子间相互作用。 给出了滑移系数的极限表达式(对于简单气体),并讨论了理论的准确性。本文采用一阶和二阶Chapman-Enskog近似以及刚性球和Lennard-Jones(12-6)势模型对不同二元混合气体的滑移系数进行了数值计算。 的热蠕变和扩散滑移系数被发现是敏感的近似的顺序和潜在的模型使用。 新的高阶结果与我们以前获得的一些热蒸腾效应的实验数据进行了比较,并显示出良好的理论和实验之间的一致性,这证实了理论的准确性。
The slip phenomena in gas mixtures are of fundamental significance in the specification of boundary conditions for flows in the slip regime. In a recent paper, new explicit results for the slip coefficients appropriate to binary gas mixtures were reported. The present work being reported extends the previous work to a higher level of accuracy by involving a higher order Chapman-Enskog expansion. In particular, new expressions for the slip coefficients are presented which are applicable for arbitrary models of the intermolecular interaction. Limiting expressions for the slip coefficients are given (for a simple gas) and the accuracy of the theory is discussed. Numerical calculations of the slip coefficients for different binary gas mixtures using the first and second order Chapman-Enskog approximations and the rigid sphere and Lennard-Jones (12-6) potential models have been carried out. The thermal creep and diffusion slip coefficients are found to be sensitive to the order of the approximation and to the potential model used. A comparison of the new higher order results with some of our previously obtained experimental data for the thermal transpiration effect has also been carried out and shows excellent agreement between the theory and the experiments which confirms the accuracy of the theory.