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

Author:

Abdo Youssef1,Rohani Vandad2,Cauneau François2,Fulcheri Laurent2

Affiliation:

1. MINES ParisTech, PERSEE—Centre Procédés, Énergies Renouvelables et Systèmes Énergétiques, PSL—Research University, 1 Rue Claude Daunesse, Sophia Antipolis 06904, France e-mail:

2. MINES ParisTech, PERSEE—Centre Procédés, Énergies Renouvelables et Systèmes Énergétiques, PSL—Research University, 1 Rue Claude Daunesse, Sophia Antipolis 06904, France

Abstract

The motion of the gliding DC electric arc under the effect of magnetic field is investigated. The temperature distribution in the inside and the outside of the moving arc is computed. The temperature distribution for the fixed-spot arc is also obtained. It appears that the gas relative velocity inside the arc gives rise to heat convection, which has an impact on the arc motion. A practical analytical solution is derived using magneto gas dynamic equations in order to investigate the heat transfer occurring in the arc and its vicinity, to determine its characteristics, and to estimate its velocity when it is exposed to external and electrode-induced magnetic fields. Two methods are suggested: one for the free-burning arc and the other for arc burning between close surrounding walls.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

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