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Modeling of electric arcs: A study of the non-convective case with strong coupling

Published online by Cambridge University Press:  21 March 2013

D. WRIGHT ,
P. DELMONT  and
M. TORRILHON
D. WRIGHT
Affiliation:
Seminar for Applied Mathematics, ETH Zürich, Rämistr. 101, 8092 Zurich, Switzerland
P. DELMONT
Affiliation:
MathCCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany ([email protected])
M. TORRILHON
Affiliation:
MathCCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany ([email protected])
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Abstract

In this paper, we investigate a mathematical model for electric arcs. The model is based on the equations of magnetohydrodynamics, where the flow and heat transfer in a plasma is coupled to electrodynamics. Our approach neglects convection and yields a reaction–diffusion model that includes only the core phenomena of electric arcs: Ohmic heating and nonlinear electric conductivity. The equations exhibit interesting mathematical properties like non-unique steady states and instabilities that can be linked to electric arc properties. Additionally, a 3D axisymmetric simulation of the creation and extinction of an electric arc is presented based on a strongly coupled numerical algorithm for the non-convective model. The approach is especially suited for high-current arcs where strong coupling becomes necessary.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 699 - 713
Copyright
Copyright © Cambridge University Press 2013 

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