高电压技术
高電壓技術
고전압기술
HIGH VOLTAGE ENGINEERING
2011年
7期
1614-1619
,共6页
刘兴华%何为%杨帆%肖汉光%马俊
劉興華%何為%楊帆%肖漢光%馬俊
류흥화%하위%양범%초한광%마준
Boltzmann方程%模型%电子能量分布%电子迁移率%电子扩散系数%电离反应系数
Boltzmann方程%模型%電子能量分佈%電子遷移率%電子擴散繫數%電離反應繫數
Boltzmann방정%모형%전자능량분포%전자천이솔%전자확산계수%전리반응계수
Boltzmann equation%model%the electron energy distribution function%electron mobility%electron diffusion coefficient%ionization rate coefficient
为了求解空气放电中电子的各种输运参数,详细介绍了通过Boltzmann方程计算气体放电参数的数值算法。进而分析了约化电场(E/n_air,)对电子能量分布函数的影响,电子扩散系数、迁移率与约化电场的关系,电离反应系数与电子平均能量的关系。仿真结果表明,随着约化电场强度不断增加,电子能量分布函数中最大比例电子数向能量增加的方向移动;电子的扩散系数和迁移率与其他研究者的实验数据基本一致,误差〈10%;电子平均能量〉2eV时,电离反应系数与Maxwellian分布函数的电离反应系数基本保持一致,证明该计算模型的合理性,为建立可靠的等离子体流体模型奠定良好基础。
為瞭求解空氣放電中電子的各種輸運參數,詳細介紹瞭通過Boltzmann方程計算氣體放電參數的數值算法。進而分析瞭約化電場(E/n_air,)對電子能量分佈函數的影響,電子擴散繫數、遷移率與約化電場的關繫,電離反應繫數與電子平均能量的關繫。倣真結果錶明,隨著約化電場彊度不斷增加,電子能量分佈函數中最大比例電子數嚮能量增加的方嚮移動;電子的擴散繫數和遷移率與其他研究者的實驗數據基本一緻,誤差〈10%;電子平均能量〉2eV時,電離反應繫數與Maxwellian分佈函數的電離反應繫數基本保持一緻,證明該計算模型的閤理性,為建立可靠的等離子體流體模型奠定良好基礎。
위료구해공기방전중전자적각충수운삼수,상세개소료통과Boltzmann방정계산기체방전삼수적수치산법。진이분석료약화전장(E/n_air,)대전자능량분포함수적영향,전자확산계수、천이솔여약화전장적관계,전리반응계수여전자평균능량적관계。방진결과표명,수착약화전장강도불단증가,전자능량분포함수중최대비례전자수향능량증가적방향이동;전자적확산계수화천이솔여기타연구자적실험수거기본일치,오차〈10%;전자평균능량〉2eV시,전리반응계수여Maxwellian분포함수적전리반응계수기본보지일치,증명해계산모형적합이성,위건립가고적등리자체류체모형전정량호기출。
We introduced numerical algorithms for electron transport parameters of air calculated by rigorous Boltzmann equation in order to solve a variety of air discharge in the electron transport parameters, and calculated the electron energy distribution function by using cross-sectiondata available in the literatures and solving the Boltzmann equation in plasma discharge. Moreover, we adopted the electron energy distribution function to calculate the electron diffusion coefficient, electron mobility and the effective ionization rate coefficient in air, and focused on the relation between average electron energy with electron diffusion coefficient, electron mobility and the ionization coeffi- cient. Simulation results show that, the number of largest proportion electrons moves to the direction of higher energy with the reduced electric field strength increasing in electron energy distribution function. The electron diffusion coefficient and mobility are well in agreement with the experimental data of other researchers with error of 10%. The ionization coefficient is the same as the ionization coefficient of Maxwellian distribution function when electron average energy is higher than 2 eV. The model has been proved that the application to the plasma fluid model is reasonable and reliable.