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Numerical simulation of a helical shape electric arc in the external axial magnetic field

### Abstract

Within the frameworks of non-stationary three-dimensional mathematical model, in approximation of a partial local thermodynamic equilibrium, a numerical calculation was made of characteristics of DC electric arc burning in a cylindrical channel in the uniform external axial magnetic field. The method of numerical simulation of the arc of helical shape in a uniform external axial magnetic field was proposed. This method consists in that that in the computational algorithm, a “scheme” analog of fluctuations for electrons
temperature is supplemented. The “scheme” analogue of fluctuations increases a weak numerical asymmetry of electrons
temperature distribution, which occurs randomly in the course of computing. This asymmetry can be “picked up” by the external magnetic field that continues to increase up to a certain value, which is sufficient for the formation of helical structure of the arc column. In the absence of fluctuations in the computational algorithm, the arc column in the external axial magnetic field maintains cylindrical axial symmetry, and a helical form of the arc is not observed.

Published by AIP Publishing.

Received 13 May 2016
Accepted 20 September 2016
Published online 06 October 2016

Article outline:

I. INTRODUCTION
II. STATEMENT OF THE PROBLEM AND THE MATHEMATICAL MODEL
III. METHOD FOR SOLVING EQUATIONS
IV. BOUNDARY AND INITIAL CONDITIONS: “SCHEMATIC” ANALOG OF FLUCTUATIONS
V. THE DISCUSSION OF THE RESULTS
VI. CONCLUSION

/content/aip/journal/pop/23/10/10.1063/1.4964281

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2016-10-06

2016-10-25

### Abstract

Within the frameworks of non-stationary three-dimensional mathematical model, in approximation of a partial local thermodynamic equilibrium, a numerical calculation was made of characteristics of DC electric arc burning in a cylindrical channel in the uniform external axial magnetic field. The method of numerical simulation of the arc of helical shape in a uniform external axial magnetic field was proposed. This method consists in that that in the computational algorithm, a “scheme” analog of fluctuations for electrons
temperature is supplemented. The “scheme” analogue of fluctuations increases a weak numerical asymmetry of electrons
temperature distribution, which occurs randomly in the course of computing. This asymmetry can be “picked up” by the external magnetic field that continues to increase up to a certain value, which is sufficient for the formation of helical structure of the arc column. In the absence of fluctuations in the computational algorithm, the arc column in the external axial magnetic field maintains cylindrical axial symmetry, and a helical form of the arc is not observed.

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