Investigation on Effective Ionization Coefficient and Critical Electric Field in Air in Temperature Range of 300–3500 K by Solving Boltzmann Equation

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  • ガス温度300-3500Kにおける空気の実効電離係数と臨界電界の数値解析的検討
  • ガス オンド 300 3500K ニ オケル クウキ ノ ジッコウ デンリ ケイスウ ト リンカイ デンカイ ノ スウチ カイセキテキ ケントウ

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Abstract

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.

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