On streamer interaction in a pulsed positive corona discharge

Abstract

An approximate method is presented to take account of interaction of positive streamers simultaneously propagating between a wire and a plate. The method is based on a quasi-2D positive streamer model modified by inclusion in the expression for electric field of an additional term describing the field of charges of all streamer channels in the gap. All streamers are assumed to be identical and to move parallel to each other to the plate from points equidistantly distributed along the wire surface. The model is used for calculation of streamer dynamics in atmospheric air for conditions under which simultaneously propagating streamers have been observed. It is shown that taking account of streamer interaction improves the agreement of the calculated dependence of streamer velocity on its length with the experimental one.

Three-dimensional numerical modelling of gas discharges at atmospheric pressure incorporating photoionization phenomena

“…Two-dimensional axi-symmetric models are predominantly employed allowing the study of some phenomena in a three-dimensional setting as well. Work based on 1.5D and 2D models [6][7][8] has been conducted by making several assumptions in an attempt to understand several aspects of streamer branching and streamer interaction. However, one important drawback of the 2D axi-symmetric models is that they restrict gas discharge modelling in configurations and conditions that are inherently symmetric around the axis of symmetry.…”

Saffman-Taylor streamers: Mutual finger interaction in spark formation

“…Simulations, on the other hand, concentrate almost exclusively either on single streamers within a microscopic discharge model, or on the complete streamer branching tree in quite coarse phenomenological models. Only in [11], the electrostatic interaction of narrow streamers within a widely spaced streamer array is studied in relatively low electric fields within a microscopic model; as the streamer radius is fixed, the numerical implementation is essentially one-dimensional. In the present paper, we mimic a similar periodic array of identical parallel streamers, but in a higher field, see Fig.…”

Interaction of Streamer Discharges in Air and Other Oxygen-Nitrogen Mixtures

“…In coarse grained phenomenological models for a streamer tree as a whole [15], the repulsive electrostatic interaction between streamers is taken into account. In a more microscopic, but still largely simplified model, Naidis [16] studied the corrections to the streamer velocity due to electrostatic interaction with neighboring streamers. In [17], two authors of the present letter have studied a microscopic "fluid" model for a periodic array of negative streamers in two spatial dimensions, where they show that shape, velocity and electrodynamics of an array of streamers substantially differs from those of single streamers due to their electrostatic interaction, but attraction or repulsion were excluded by the approach.…”