“…With computing power improvement, models get more and more sophisticated and close to real conditions thus allowing today the simulation of three-dimensional and unsteady systems with detailed geometry description. Numerous fluid models have been reported in the literature mostly on direct current (DC) arc discharge modeling using Digital Object Identifier high current above 100 A [1], [2] including: free burning arcs [3], [4], transferred arcs [5]- [7] and non-transferred arcs [8]- [11]. Many DC arc plasma torches models have been developed for different applications [12] as: cutting [13], welding [14], deposition and spraying [8]- [11], [15], [16], steelmaking [7], waste disposal [17] and ultra fine particle production [18].…”