气体放电动力学的数学模型

本文根据实验得到的α、η与电场强度的关系,从能量守恒、动量守恒和麦克斯韦方程组出发,给出了描述气体放电过程的数学模型和决定初始条件、边界条件的方法。在本文提出的数学模型中,考虑了碰撞游离、光游离、附着等因素对带电粒子产生和消失的影响,并考虑了电磁场使带电粒子加速对于放电过程的影响。本模型可用于雷电或其他放电过程的研究。

The Mathematical Model of Gaseous Discharge Dynamics

According to obtained experimental data, for example the relations between alpha, eta and electrical strength, etc, starting from the law of energy conservation, the law of momentum conservation and the Maxwell equation-set, a mathematical model, describing the gaseous dischasge process, is presented. In addition, the method to determine the initial and boundary conditions is given. In the mathematical model, the influences of many factors, such as collision ionization, photo-ionization, attachment, detachment, etc, on the production and disappearance of charged particles are considered, and the influences of electromagnetic fields which accelarate the charged particles on the gaseous discharge process are also considered. This model can be used in the lightning study and other cases.