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Volume 27 Issue 3
Mar.  2001
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Journal of Beijing University of Aeronautics and Astronautics  > 2001  >  27(3): 317-320.
ZHANG Jin-bai, LI Chun-xuan. Vibrational Nonequilibrium Distribution of Diatomic Molecules[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3): 317-320. (in Chinese)
Citation: ZHANG Jin-bai, LI Chun-xuan. Vibrational Nonequilibrium Distribution of Diatomic Molecules[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3): 317-320. (in Chinese)
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Vibrational Nonequilibrium Distribution of Diatomic Molecules

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

  • Received Date: 24 Dec 1999
  • Publish Date: 31 Mar 2001
    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.

     

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    • References(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]. 北京亚洲成人在线一二三四五六区学报,2000,26(4):416~419.
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