Positive streamer in a weak field in air: A moving avalanche-to-streamer transition

Kulikovsky, Andrei

doi:10.1103/physreve.57.7066

Cited by 153 publications

(187 citation statements)

References 22 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%

“…Both results show significant deviation from experimental data as presented above. Simulations performed for a gap length of 10 mm have shown the ability of the streamer to propagate in a weaker field [3,13]. But it is difficult to relate the background field strength to the streamer properties in [3] because of the non-uniformity of the electric field.…”

Section: Introductionmentioning

confidence: 99%

“…Simulations performed for a gap length of 10 mm have shown the ability of the streamer to propagate in a weaker field [3,13]. But it is difficult to relate the background field strength to the streamer properties in [3] because of the non-uniformity of the electric field. In [13], discharge propagation took place in a constant background field of 0.5 MV m −1 .…”

Section: Introductionmentioning

confidence: 99%

“…In this case, the hydrodynamic mass balance equation for each accounted species, taking into account drift, diffusion and sources of appearance and disappearance, are employed in order to describe the dynamics of the gas in which the discharge takes place. At present, calculations of streamer discharges are performed using quasi two-dimensional [1,2], fully twodimensional [3][4][5] and even three-dimensional [6] models. The dimensionality of the model is an important factor determining authenticity of results concerning the detailed structure of the discharge channel.…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…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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Simple Analytical Model of the Anodic Streamer

Amir-Aid

Harrache

Boutarfaïa

2007

Contrib. Plasma Phys.

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Key words Preionized electrical discharge, analytical approach, streamer.PACS 51.50.+v, 52.25 Jm In this work, an analytical model is used to study the formation of the anodic streamer in high pressure electrical discharge. This model enabled us to see the space variations of the characteristics of the streamer such as the electric field and the propagation velocity of streamer. The validity of the analytic approach is demonstrated by comparing the model results to the data from the literature. A qualitative concord was found.

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Positive streamer in a weak field in air: A moving avalanche-to-streamer transition

Cited by 153 publications

References 22 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

Derivation of a merging condition for two interacting streamers in air

Simple Analytical Model of the Anodic Streamer

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