Investigation on Effective Ionization Coefficient and Critical Electric Field in Air in Temperature Range of 300-3500K by Solving Boltzmann Equation
Investigation on Effective Ionization Coefficient and Critical Electric Field in Air in Temperature Range of 300-3500K by Solving Boltzmann Equation
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通过求解玻尔兹曼方程研究300-3500K温度范围空气中的有效电离系数和临界电场
DOI：
10.1541/ieejpes.123.1380
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发表时间：
2003
影响因子：
--
通讯作者：
M. Shibuya
中科院分区：
文献类型：
--
作者：
Yasunori Tanaka;T. Sakuta;M. Shibuya
本文介绍了一种在300- 3500 K气体温度范围内空气介电强度的预测方法。首先，通过Saha和Guldburg-Waage方程计算了气体温度为300- 3500 K时空气的平衡组成。其次，采用Boltzmann方程的双项展开式计算了电子能量分布函数（EEDF）。最后，由EEDF得到了有效电离系数α。在300- 3500 K的气体温度范围内，得到了临界约化电场强度（E/N）cr，即零有效电离系数α=0。结果表明，（E/N）cr随气体温度从1500 K升高到3500 K而减小，这主要是由于NO分子的摩尔分数增加，而NO分子的电离势远低于N2和O2。计算结果与实验结果相当吻合。
The present paper describes a prediction method of the dielectric strength of the air in gas temperature range of 300-3500K. First, the equilibrium composition of the air at gas temperatures of 300-3500K was calculated through Saha and Guldburg-Waage equations. Secondly, the electron energy distribution function (EEDF) was calculated by an adoption of the two-term expansion of Boltzmann equation. Finally, the effective ionization coefficient α was derived from the EEDF obtained. The critical reduced electric field strength (E/N)cr, which gives zero effective ionization coefficient α=0, was obtained at gas temperatures of 300-3500K. The result indicates that (E/N)cr decreases as the gas temperature increases from 1500K to 3500K, which is due mainly to an increase in the mole fraction of NO molecule which has a much lower ionization potential compared with N2 and O2. This calculated result fairly agrees with an experimental one.