Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis
Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis
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大气压下空气中放电的数学模型：渐近分析的推导
DOI：
10.1504/ijcsm.2007.013764
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发表时间：
2007
影响因子：
0.8
通讯作者：
B. Lucquin
中科院分区：
文献类型：
--
作者：
P. Degond;B. Lucquin
我们推导出一些描述大气压下放电的数学模型。我们从欧拉麦克斯韦方程组的耦合系统为所有的物种，我们根据一些相关的物理单位缩放。在这个比例中出现的九个无量纲参数中，电子和重物质之间的质量比起着重要的作用。然后，我们得到各种模型，对应于这些参数的不同值。在这个层次结构的一个步骤中，电子和离子都满足迁移率定律;但这种情况下，然而，似乎对应于不现实的电子温度。
We derive some mathematical models describing electrical discharges at atmospheric pressure. We start from the coupled system of Euler Maxwell equations for all species that we scale according to some relevant physical units. Among the nine dimensionless parameters that appear in this scaling, the mass ratio between the electrons and the heavy species plays a significant role. We then obtain various models, corresponding to different values of these parameters. In one of the steps of this hierarchy, both electrons and ions satisfy a mobility law; but this case, however, seems to correspond to non-realistic electron temperatures.