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

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.