非平衡状态下双原子分子振动态的分布

张劲柏; 李椿萱

非平衡状态下双原子分子振动态的分布

北京航空航天大学飞行器设计与应用力学系

详细信息

作者简介:
张劲柏(1972-),男,江西吉安人,博士生,100083,北京.

中图分类号: O 643.12
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- 文章访问数: 2795
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- 被引次数: 0
出版历程
- 收稿日期: 1999-12-24
- 网络出版日期: 2001-03-31

Vibrational Nonequilibrium Distribution of Diatomic Molecules

Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics

摘要

摘要: 为尝试修正Hammerling假设,在仔细分析了非平衡状态下双原子分子振动态的分布特征的基础上,提出了新的分布近似函数.该近似分布函数能很好地体现非平衡状态下双原子分子振动态分布的主要特征,其在离解反应速率的理论计算中的应用也证明是成功的.同时还部分证明了Park的双温模型具有其理论基础.
- 分布函数 /
- 非平衡(热力学) /
- 化学反应 /
- 离解
Abstract: An attempt is made in the present paper to develop an analytical model to modify the Hammerling-s hypothesis in dealing with the vibration modes for diatomic molecules under nonequilibrium states. The characteristics of distribution functions for vibration modes of diatomic molecules undergoing a nonequilibrium relaxation process are studied and a new approximate form of distribution functions is proposed. The calculations of test cases show that the majority of the characteristics of the vibration modes can be represented by the deduced approximate function. The utilization of the formulation on computations of the rate of the N₂ dissociation undergoing a nonequilibrium relaxation process has demonstrated to be successful, and the study also partly verify the theory behind Park-s two-temperature model.
- distribution functions /
- unequilibrium(thermodynamics) /
- chemical reactions /
- dissociation

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参考文献(1)

[1] Harmmerling P, Terre J D, Kivle B. Theory of radiation from luminous shock waves in nitrogen[J]. Physical of fluids, 1959, 2:422~426. [2] Schwartz R N, Slawsky Z I, Herzfeld K F. Calculation of vibrational relaxation times in gases[J]. Journal of Chemical Physics, 1952,20(10):1591~1599. [3] Montroll E W, Shuler K E. Studies in nonequilibrium rate processes(I. The relaxation of a system of harmonic oscillators)[J]. Journal of Chemical Physics, 1957, 26(3):454~464. [4] Sharma S P, Huo W M, Park C. The rate parameters for coupled vibration-dissociation in a generalized SSH approximation . AIAA Paper 88-2714, 1988. [5] McCoy B J, Carbonell R G. Master equation theory for steady-state chemical reactions:Dissociation of diatomic molecules in gases[J]. Journal of Chemical Physics, 1977, 66(10):4564~4571. [6] Park C. Assessment of two-temperature kinetic model for dissociation and weakly-ionizing nitrogen . AIAA Paper 86-1347, 1986. [7] 张劲柏,李椿萱. 离解反应速率常数中的方位因素[J]. 北京航空航天大学学报,2000,26(4):416~419.

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