数学物理学报 ›› 1981, Vol. 1 ›› Issue (1): 67-76.

• 论文 • 上一篇    下一篇

气体分子动力论模方程及对激波结构的研究(关于波尔兹曼方程的数学模型)

韩式方   

  1. 中国科学院成都分院数理科学研究室
  • 收稿日期:1980-11-26 出版日期:1981-03-26 发布日期:1981-03-26

MODEL EQUATION OF KINETIC THEORY AND RESEARCH ON SHOCK WAVE STRUCTURE

Hang Shifang   

  • Received:1980-11-26 Online:1981-03-26 Published:1981-03-26

摘要: 本文从"只有用非线性项才能更好地描述玻尔兹曼碰撞积分的非线性项"的基本思想出发,将逆碰撞积分写成局部麦克斯韦函数fe的幂级数形式,各fen项的系数是一速度和宏观量的函数,导出了一种新的气体分子动力论模方程。
应用Chapmann-Enskog方法求解了本模方程,并订算出普朗特数Pr=2/3.
本模方程应用于研究一维正激波结构问题,用数值方法求得本问题的数值解答,并与实验结果作了比较,其结果良好。

Abstract: The new model equation of kinetic theoy is suggested for nonequilibrium gas. In the present model equation a new collision term is suggested instead of Boltzmann collision term.
Chapmann-Enskog method is used for solution of present model equation in the case of near-equilibrium condition.
In the present paper the model equation is used for research on shock wave structure. The numerical solution is obtained by computer program with ALGOL-60 language. Results of calculation were found to be in agreement with that of the experiment.