Experimental and 2D fluid simulation of a streamer discharge in air over a water surface

A. Herrmann, Joelle Margot, A. Hamdan
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Abstract

The high reactivity and attractive properties of streamer discharges make them useful in many applications based on plasma-surface interactions. Therefore, understanding the mechanisms governing the propagation of a streamer discharge as well as its properties is an essential task. This paper presents the development and application of a 2D fluid model to the simulation of discharges triggered at the air-water interface by a pulsed nanosecond high voltage. Experimental characterization using 1-ns-time-resolved imaging reveals rapid transitions from a homogeneous disc to a ring and finally to dots during the discharge process. The simulation enables the determination of the spatio-temporal dynamics of the E-field and electron density, highlighting that the discharge reaches the liquid surface in less than 1 ns, triggering a radial surface discharge. As the discharge propagates along/over the water surface, a sheath forms behind its head. Furthermore, the simulation elucidates the transitions from disc to ring and from ring to dots. The former transition arises from the ionization front's propagation speed, where an initial disc-like feature changes to a ring due to the decreasing E-field strength. The ring-to-dots transition results from the destabilization caused by radial electron avalanches as the discharge head reaches a radius of ~1. 5 mm. The simulation is further utilized to estimate a charge number and a charge content in the discharge head. This work contributes to a better understanding of discharge propagation in air near a dielectric surface, with the agreement between simulation and experiment validating the model in its present version.
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水面上空气中流线型排放的实验和二维流体模拟
流束放电的高反应性和吸引力特性使其在许多基于等离子体表面相互作用的应用中非常有用。因此,了解流束放电的传播机制及其特性是一项重要任务。本文介绍了二维流体模型的开发和应用,以模拟纳秒脉冲高压在空气-水界面触发的放电。利用 1-ns 时间分辨成像技术进行的实验表征显示,在放电过程中,均匀圆盘迅速转变为环状,最后转变为点状。模拟能够确定电子场和电子密度的时空动态,突出显示放电在不到 1 毫微秒的时间内到达液体表面,引发径向表面放电。当放电沿着/越过水面传播时,在其头部后面形成了一个鞘。此外,模拟还阐明了从圆盘到圆环以及从圆环到圆点的转变。前一种转变源于电离前沿的传播速度,由于电场强度的减弱,最初的圆盘状特征会转变为环状。当放电头的半径达到约 1.5 毫米时,径向电子雪崩会导致不稳定,从而产生从环形到点状的转变。利用模拟进一步估算了放电头中的电荷数和电荷含量。这项工作有助于更好地理解介质表面附近空气中的放电传播,模拟和实验之间的一致性验证了当前版本的模型。
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