Modeling Arc in Transverse Magnetic Field by Using Minimum Principle

Nemchinsky, Valerian

doi:10.1109/tps.2016.2616099

Cited by 6 publications

(7 citation statements)

References 18 publications

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“…We consider here a positive column of arc plasma burning and conned inside a cylindrical tube which walls are maintained at a constant temperature. This boundary condition, with a rotationally symmetric geometry, allows us to formulate the channel arc problem without involving the Steenbeck's minimum principle [11] which mathematical meaning in gas discharge physics has also been questioned [12]. The stronger the connement, the larger the gradients in the plasma arc.…”

Section: Arc Modelingmentioning

confidence: 99%

A simplified model for the determination of current-voltage characteristics of a high pressure hydrogen plasma arc

Gueye

Cressault

Rohani

et al. 2017

Journal of Applied Physics

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International audienceThis paper focuses on the modeling of a hydrogen arc column at very high pressure (20 bar). The problem is solved from Elenbaas-Heller equation where the radiation is carefully considered with the net emission coefficient. The absorption spectrum requires the integration of background continuum, molecular bands, and line spectra. This work directly aims to predict the electric current-voltage characteristics which is key for the design of new processes. We propose also a new analytic solution which generalizes the channel model of electric arc to the case when the volume radiation makes a significant contribution to the energy balance. The presented formalism allows a better determination of the plasma thickness parameter Rp for net emission coefficient method in cylindrical arcs and gives satisfactory results in comparison to earlier experimental works on high pressure hydrogen plasma

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Section: Arc Modelingmentioning

confidence: 99%

A simplified model for the determination of current-voltage characteristics of a high pressure hydrogen plasma arc

Gueye

Cressault

Rohani

et al. 2017

Journal of Applied Physics

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“…For air, as mentioned before, the arc is considered non-conductive below 4000 K, which constitutes the reference temperature for S. Moreover, λ is deemed constant according to previous assumptions. This is also approximately justified since λ slightly moves around ⋅ − 0.02 m s 2 1 for a very wide range of temperature as shown by figure 7(b). Finally, figure 7(c) is fundamental in order to calculate the density of the maximum temperature line of the arc in case of dynamic blowing.…”

Section: Results Comparison and Theory Validationmentioning

confidence: 60%

“…As stated in the previous section, equation (1) should be solved by identification in the Frenet curvilinear coordinate system shown in figure 2. The arc could be viewed as a torus or a wire in that case.…”

Section: Derivation Of the Arc Motion Equationmentioning

confidence: 99%

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New perspectives on the dynamics of AC and DC plasma arcs exposed to cross-fields

Abdo¹,

Rohani²,

Cauneau³

et al. 2017

J. Phys. D: Appl. Phys.

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Interactions between an arc and external fields are crucially important for the design and the optimization of modern plasma torches. Multiple studies have been conducted to help better understand the behavior of DC and AC current arcs exposed to external and ‘self-induced’ magnetic fields, but the theoretical foundations remain very poorly explored. An analytical investigation has therefore been carried out in order to study the general behavior of DC and AC arcs under the effect of random cross-fields. A simple differential equation describing the general behavior of a planar DC or AC arc has been obtained. Several dimensionless numbers that depend primarily on arc and field parameters and the main arc characteristics (temperature, electric field strength) have also been determined. Their magnitude indicates the general tendency pattern of the arc evolution. The analytical results for many case studies have been validated using an MHD numerical model. The main purpose of this investigation was deriving a practical analytical model for the electric arc, rendering possible its stabilization and control, and the enhancement of the plasma torch power.

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“…The attempts to build the closed analytic model of the arc based on the integral relations for the streamlined body are also known. In [33] the Steenbek's minimum principle was used to determine the diameter of the current-carrying channel. This approach led to the adequate prediction of the arc velocity, although the comparison was performed for the extremely high pressure conditions (p ~100 atm).…”

Section: Electric Arc In the Transversal Magnetic Fieldmentioning

confidence: 99%

Gas dynamics of the pulsed electric arc in the transversal magnetic field

Moralev¹,

Kazanskii²,

Bityurin³

et al. 2020

J. Phys. D: Appl. Phys.

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The arc discharge in magnetic field is one of the promising methods to intensify the kinematic transport in various systems. In this work, a detailed study of the flow arising in ambient air during the movement of a pulsed arc in external magnetic field was done. The study was performed using PIV and shadow flow visualization in parallel with the numerical modeling in a 2D MHD approach. The flow evolution during the electric current pulse was analyzed based on the vorticity generation equation. The flow relaxation after the current termination is considered, indicating a significant reduction of the gas velocity after the current termination due to rarefaction waves propagation. The typical flow structure remaining after the MHD interaction is a toroidal vortex with velocity magnitude up to 0.4 of the maximum arc movement velocity during the pulse.

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Modeling Arc in Transverse Magnetic Field by Using Minimum Principle

Cited by 6 publications

References 18 publications

A simplified model for the determination of current-voltage characteristics of a high pressure hydrogen plasma arc

A simplified model for the determination of current-voltage characteristics of a high pressure hydrogen plasma arc

New perspectives on the dynamics of AC and DC plasma arcs exposed to cross-fields

Gas dynamics of the pulsed electric arc in the transversal magnetic field

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