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Plasma arcs have been widely used for cutting or welding metals because they can supply a dense energy flow in a small area of an arc spot. However, it is not a convenient heat source to treat a wide area. To expand a plasma arc, various trials have been attempted [1], [2], [3], [4]. Takeda et al. [3], [4] developed a magnetically driven arc by imposing an alternating magnetic field perpendicular to a transferred arc. The arc oscillates because of the interaction between the electric arc current and the external magnetic field. Typical plasma arc profiles are presented in Figure 1. An arc in no magnetic field, as shown in Figure 1(a), deforms to a DC magnetic field, as portrayed in Figure 1(b). By imposing an AC magnetic field, the arc oscillates as depicted in Figure 1(c). For practical applications of such a magnetically driven arc, precise understanding of the heat flux distribution is necessary. Experimental observation by T. Yamamoto et al. [5] revealed that the heat flux decreased near the edge of the oscillatory amplitude. T. Toh et al. [6] has attempted to predict the heat flux distribution theoretically using a 3D MHD model. The present study develops a simple but practical model to predict heat flux variations with various waveforms of the imposed magnetic field, using the assumption of a one-dimensional heat source.

Heat Flux Distribution of DC Arc under AC Magnetic Field