1997
DOI: 10.1088/0022-3727/30/14/011
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A simplified unified theory of arcs and their electrodes

Abstract: Abstract. For arcs at atmospheric pressure which have cathodes that are thermionic emitters, it is possible to calculate the major properties of the arc and the electrodes as a function of current, by accounting for electrode shape and the heat transfer processes occurring at the surface of the electrodes. Such processes occur due to eleclron and ion emission and absorption and also from radiation emission and absorption. Electrical resistance of the plasma near the electrodes is calculated either by laking ac… Show more

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Cited by 236 publications
(235 citation statements)
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“…In the first publications, devoted to mathematical simulation of the processes of heat, mass and charge transfer in refractory cathode arcs [2][3][4][5][6][7][8][9][10], arc plasma was assumed to be single-component, i.e. containing atoms and ions of just the shielding gas.…”
mentioning
confidence: 99%
“…In the first publications, devoted to mathematical simulation of the processes of heat, mass and charge transfer in refractory cathode arcs [2][3][4][5][6][7][8][9][10], arc plasma was assumed to be single-component, i.e. containing atoms and ions of just the shielding gas.…”
mentioning
confidence: 99%
“…Anodic and cathodic sheaths have been neglected, while electrodes interfaces are taken into account using a simplified approach, imposing a current density distribution on the cathode surface. Neglecting sheath phenomena allows reducing the computational effort since their influence on the main body of the arcs is negligible as shown in [12]. In all the performed calculations, the required database of equilibrium and non equilibrium thermodynamic and transport properties has been taken from [13].…”
Section: Model Descriptionmentioning
confidence: 99%
“…In the eighties and nineties some authors (for example [1][2]) proposed to calculate the self-induced magnetic field by using the equation:…”
Section: -Maxwell Ampere Equationmentioning
confidence: 99%
“…Chronologically, the first formulation, in the eighties, was the Maxwell -Ampere (M.A.) form which has been used in two-dimensional (2D) modelling in numerous articles such as Hsu [1] or Lowke [2]. It is very convenient in 2D on a structured grid but not really suited to an unstructured one.…”
Section: Introductionmentioning
confidence: 99%