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.
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Analytical Solution for the Electric Arc Dynamics and Heat Transfer When Exposed to a Magnetic Cross-Field
Youssef Abdo,
Youssef Abdo
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse,
Sophia Antipolis 06904, France
e-mail: youssef.abdo@mines-paristech.fr
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse,
Sophia Antipolis 06904, France
e-mail: youssef.abdo@mines-paristech.fr
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Vandad Rohani,
Vandad Rohani
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
Search for other works by this author on:
François Cauneau,
François Cauneau
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
Search for other works by this author on:
Laurent Fulcheri
Laurent Fulcheri
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et Systèmes
Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et Systèmes
Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
Search for other works by this author on:
Youssef Abdo
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse,
Sophia Antipolis 06904, France
e-mail: youssef.abdo@mines-paristech.fr
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse,
Sophia Antipolis 06904, France
e-mail: youssef.abdo@mines-paristech.fr
Vandad Rohani
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
François Cauneau
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et
Systèmes Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
Laurent Fulcheri
MINES ParisTech,
PERSEE—Centre Procédés,
Énergies Renouvelables et Systèmes
Énergétiques,
PSL—Research University,
Sophia Antipolis 06904, France
PERSEE—Centre Procédés,
Énergies Renouvelables et Systèmes
Énergétiques,
PSL—Research University,
1 Rue Claude Daunesse
,Sophia Antipolis 06904, France
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 7, 2017; final manuscript received September 27, 2017; published online March 9, 2018. Assoc. Editor: Milind A. Jog.
J. Heat Transfer. Jun 2018, 140(6): 062002 (11 pages)
Published Online: March 9, 2018
Article history
Received:
February 7, 2017
Revised:
September 27, 2017
Citation
Abdo, Y., Rohani, V., Cauneau, F., and Fulcheri, L. (March 9, 2018). "Analytical Solution for the Electric Arc Dynamics and Heat Transfer When Exposed to a Magnetic Cross-Field." ASME. J. Heat Transfer. June 2018; 140(6): 062002. https://doi.org/10.1115/1.4038602
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