Two-dimensional modelling of positive streamer dynamics in non-uniform electric fields in air

Babaeva, Natalia Yu; Naidis, G. V.

doi:10.1088/0022-3727/29/9/029

Cited by 216 publications

(204 citation statements)

References 16 publications

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“…This condition describes the effect of the anode space-charge layer. The commonly used approach to represent initial conditions for the equation system (1) is the assumption that a quasi-neutral layer or 'plasma spot' exists in the gap, which initiates the discharge [1,3,4]. This appears to be artificial because the location of charges and their densities are set arbitrarily.…”

Section: Boundary and Initial Conditionsmentioning

confidence: 99%

The propagation of positive streamers in a weak and uniform background electric field

Serdyuk

Larsson

Gubanski

et al. 2001

J. Phys. D: Appl. Phys.

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The results of numerical simulations of a positive streamer development in air in a weak and uniform electric field are presented. Streamer dynamics is considered in an electrode gap of 33 mm in length and the configuration was 'protrusion on a plate-plate'. This particular configuration was chosen in order to perform direct comparison between simulated results and experimental data. The electrostatic field in such a system decreases rapidly with increase of the distance from the protrusion (anode) and the region with a weak and uniform background field covers ∼30 mm of the gap. The parameters of the propagating streamer are studied at six different values of the background field strength: 0.24; 0.30; 0.345; 0.37; 0.43 and 0.50 MV m −1 . Stable streamer development (with constant velocity) takes place in a field of 0.5 MV m −1 (the stability field) but the streamer is able to cross the gap in a background field of 0.3 MV m −1 . These values are in excellent agreement with experimental data. During the stable streamer propagation, the electron density and plasma conductivity in the discharge channel and the electric field at its front remain constant. In a background field lower than 0.5 MV m −1 , the discharge front velocity and the electric field at the front decrease linearly with an increase of streamer length. The discharge propagation in the stability field is associated with an increase of electrostatic energy at the streamer front but it decreases if the streamer develops in a weaker electric field. This behaviour is accompanied by a constant Joule dissipation at 0.5 MV m −1 and decreasing energy losses at the streamer front in a weaker background electric field.

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Section: Boundary and Initial Conditionsmentioning

confidence: 99%

The propagation of positive streamers in a weak and uniform background electric field

Serdyuk

Larsson

Gubanski

et al. 2001

J. Phys. D: Appl. Phys.

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“…Approaching atmospheric pressure, simultaneous production of new branches may occur [9]. The streamer radius is generally inversely proportional to pressure [9,10].…”

Section: Introductionmentioning

confidence: 99%

Effect of inhomogeneities on streamer propagation: I. Intersection with isolated bubbles and particles

Babaeva

Kushner

2009

Plasma Sources Sci. Technol.

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The branching of streamers in high pressure gas discharges and discharges in liquids is an almost universal occurrence having many causes. In this paper, we discuss results of an investigation of one possible cause-inhomogeneities in the media through which the streamer propagates. These inhomogeneities produce corresponding enhancements or decreases in ionization and excitation as the avalanche front encounters them, some of which may produce branching. Three types of inhomogeneities were investigated-negative bubbles (regions having a lower density than ambient), positive bubbles (having a higher density) and solid bubbles (particles). Depending on the size and density of the bubble, the streamer can be focused into the bubble (negative small bubble), deflected and split (positive bubbles and particles) or refracted (large negative bubble). In the case of gaseous bubbles, this behavior is partly explained by the larger E/N (electric field/gas number density) in the negative bubble, producing more ionization by electron avalanche, and smaller E/N in the positive bubble, producing less ionization. A streamer may diverge into a negative bubble located off axis due to seeding of electrons in the bubble by photoionization and subsequent avalanching in the large E/N.

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“…We consider the classical fluid model for air given by drift-diffusion equations self-consistently coupled with Poisson's equation [11,12]: ∂ t n e + ∇ · (n e v e ) − ∇ · (D e ∇n e ) = n e α|v e | − n e η|v e | − n e n p β ep + n n γ + S ph ,…”

mentioning

confidence: 99%

Derivation of a merging condition for two interacting streamers in air

Bonaventura

Duarte

Bourdon

et al. 2012

Plasma Sources Sci. Technol.

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The simulation of the interaction of two simultaneously propagating air streamers of the same polarity is presented. A parametric study has been carried out using an accurate numerical method which ensures a time-space error control of the solution. For initial separation of both streamers smaller or comparable to the longest characteristic absorption length of photoionization in air, we have found that the streamers tend to merge at the moment when the ratio between their characteristic width and their mutual distance reaches a value of about 0.35 for positive streamers, and 0.4 for negative ones. Moreover it is demonstrated that these ratios are practically independent of the applied electric field, the initial seed configuration, and the pressure.Electrical breakdown in air gaps often involves the development of fast ionizing waves that take the form of thin filaments called streamers [1]. These complex and highly nonlinear phenomena precede the formation of sparks and leaders. Similar filamentary structures 1

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Two-dimensional modelling of positive streamer dynamics in non-uniform electric fields in air

Cited by 216 publications

References 16 publications

The propagation of positive streamers in a weak and uniform background electric field

The propagation of positive streamers in a weak and uniform background electric field

Effect of inhomogeneities on streamer propagation: I. Intersection with isolated bubbles and particles

Derivation of a merging condition for two interacting streamers in air

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