Boundary conditions for drift-diffusion equations in gas-discharge plasmas

Gorin, Vladimir V.; Kudryavtsev, A. A.; Yao, Jingfeng; Yuan, Chengxun; Zhou, Zhongxiang

doi:10.1063/1.5120613

Cited by 12 publications

(4 citation statements)

References 17 publications

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“…2. For wall boundaries Γ w , which are physical interfaces between the discharge domain and the electrodes 5 , we determine the specie fluxes using the two-stream approach [64]. We assume that there is no particle reflection on the walls and only electron secondary emission due to ion bombardment is involved.…”

Section: Boundary Conditionsmentioning

confidence: 99%

An implicit time integration approach for simulation of corona discharges

Tuan Dung,

Besse,

Rogier

2024

Computer Physics Communications

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Section: Boundary Conditionsmentioning

confidence: 99%

An implicit time integration approach for simulation of corona discharges

Tuan Dung,

Besse,

Rogier

2024

Computer Physics Communications

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“…The boundary condition for the tungsten atoms needs particular attention. It can be derived implying the so called 'twostream approximation' [4,[11][12][13][14]. In this approximation, the densities of particle fluxes moving from the boundary (J + wa ) and to the boundary (J − wa ) are determined.…”

Section: Transport Of Tungsten Atoms and Ions In The Model Of The Ion...mentioning

confidence: 99%

“…The conditions (15) and (20) have been known for a long time, e.g. equation (38) of [12], equation (2.1.12) of [15], equation (11) of [4], and equation ( 9) of [13]. A recent work by Benilov et al [14] discusses limiting cases, where the boundary condition (19) can lead to physically unrealistic results, e.g.…”

Section: Baeva Et Almentioning

confidence: 99%

Modelling and experimental evidence of the cathode erosion in a plasma spray torch

Baeva

Benilov²,

Zhu³

et al. 2022

J. Phys. D: Appl. Phys.

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The lifetime of tungsten cathodes used in plasma spray torches is limited by processes leading to a loss of cathode material. It was reported in the literature that the mechanism of their erosion is the evaporation. A model of the ionization layer of a cathode is developed to study the diffusive transport of evaporated tungsten atoms and tungsten ions produced due to ionization by electron impact in a background argon plasma. It is shown that the Stefan-Maxwell equations do not reduce to Fick law as one could expect for the transport of diluted species, which is due to significant diffusion velocities of argon ions. The ionization of tungsten atoms occurs in a distance of a few micrometers from the cathode surface and leads to a strong sink, which increases the net flux of tungsten atoms far beyond that obtained in absence of tungsten ions. This shows that the tungsten ions are driven by the electric field towards the cathode resulting in no net diffusive flux and no removal of tungsten species from the ionization layer even if convection is accounted for. A possible mechanism of removal is found by extending the model to comprise an anode. The extended model resolves the inter-electrode region and provides the plasma parameters for a current density corresponding to the value at the center of the cathode under typical arc currents of 600 A and 800 A. The presence of the anode causes a reversal of the electric field on the anode side, which pulls the ions away from the ionization layer of the cathode. The net flux of tungsten ions can be further fortified by convection. This model allows one to evaluate the loss of cathode material under realistic operating conditions in a quantitative agreement with measured values.

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“…45; see also recent work. 43 The second term on the rhs of Eq. (A5) is consistent with the second term on the rhs of Eq.…”

Section: Journal Of Applied Physicsmentioning

confidence: 99%