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Numerical simulation of positive streamer propagation in cyclohexane

机译：正流在环己烷中扩散的数值模拟

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摘要

A numerical 3D simulation of positive streamer propagation in a liquid, using cyclohexane as a reference case, in a needle-plane geometry is presented. The physical basis of this model is a version of the Townsend-Meek streamer criteria, known from gas discharges, adapted to a liquid containing an additive. The propagation of the streamer is modelled in the following way: Electrons located in an electric field above a given threshold (liquid dependent) create electron avalanches in the liquid. The electron avalanches leave behind positive ions that will move the high field region further into the liquid due to the field created by the high charge concentration. Subsequent avalanches in the liquid neutralize this region, but create a new highly ionized region, thus the ionization region (streamer head) moves further away from the needle, while still being connected to the needle by a weakly conducting plasma channel. The stochastic nature of streamer inception, propagation and branching is modeled through a random distribution of seed electrons in the liquid. Key results obtainable from the model includes streamer shape/degree of branching, speed (instantaneous and average), and inception delay of positive streamers as a function of applied voltage. The presented model is crude as it does not take into account the energy required for phase transition, and the dynamics of the plasma channel trailing the streamer head. In addition it is based on a rough estimate of the field in the liquid. This paper presents the model in detail.
机译：提出了在针平面几何形状中以环己烷为参考案例的正拖缆在液体中传播的3D数值模拟。该模型的物理基础是Townsend-Meek流光标准的一个版本，从气体排放中获悉，适用于包含添加剂的液体。拖缆的传播按以下方式建模：位于给定阈值（取决于液体）以上的电场中的电子在液体中产生电子雪崩。电子雪崩留下正离子，由于高电荷浓度产生的电场，其将使高电场区域进一步移入液体。液体中随后发生的雪崩会中和该区域，但会形成一个新的高度电离区域，因此，电离区域（流光头）会进一步远离针头，同时仍通过弱导电等离子体通道连接到针头。通过液体中晶种电子的随机分布，可以对流注开始，传播和分支的随机性进行建模。从该模型可获得的关键结果包括拖缆的形状/分支程度，速度（瞬时和平均）以及正拖缆的起始延迟与施加电压的关系。提出的模型是粗略的，因为它没有考虑相变所需的能量以及流光头后面的等离子通道动力学。另外，它基于对液体中场的粗略估计。本文详细介绍了该模型。

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