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Analytical Solution for the Electric Arc dynamics and Heat Transfer when Exposed to a Magnetic Cross-Field

[+] Author and Article Information
Youssef Abdo

MINES ParisTech, PSL − Research University, PERSEE − Centre procédés, énergies renouvelables et systèmes énergétiques, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
youssef.abdo@mines-paristech.fr

Vandad Rohani

MINES ParisTech, PSL − Research University, PERSEE − Centre procédés, énergies renouvelables et systèmes énergétiques, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
vandad-julien.rohani@mines-paristech.fr

Francois Cauneau

MINES ParisTech, PSL − Research University, PERSEE − Centre procédés, énergies renouvelables et systèmes énergétiques, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
francois.cauneau@mines-paristech.fr

Laurent Fulcheri

MINES ParisTech, PSL − Research University, PERSEE − Centre procédés, énergies renouvelables et systèmes énergétiques, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
laurent.fulcheri@mines-paristech.fr

1Corresponding author.

ASME doi:10.1115/1.4038602 History: Received February 07, 2017; Revised September 27, 2017

Abstract

The motion of the gliding electric arc under the effect of magnetic field is investigated. When the arc is exposed to a magnetic field, a gas flow is generated perpendicularly across its section. Consequently, the arc moves at a relative velocity that corresponds to the velocity of the temperature distribution through the arc. The resulting relative velocity gives rise to heat convection which has great impact on the arc motion. A practical analytical solution is derived using MGD (magneto gas dynamic) equations in order to investigate the heat transfer occurring in the arc and its vicinity and to estimate the magnitude of its velocity.

Copyright (c) 2017 by ASME
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