An Investigation of Coupled D. C.-Induction Arc Discharges

The object of this study is to analytically determine the properties of an arc discharge generated by a combination of induction and d. c. electromagnetic fields. Induction power is supplied to the discharge by a solenoidal coil whose axis of symmetry is aligned with the applied d. c. electric field. A numerical technique is used to simultaneously solve a set of linear differential equations which include Maxwell´s field equations, the single fluid energy equation, the momentum balance equation, Ohm´s law, and the radiation diffusion equation. It is necessary to make a number of reasonable assumptions to obtain the final set of equations for programming. These assumptions restrict the calculations to azimuthally symmetric plasmas with axial gradients only in static pressure. In addition, the radiant energy flux is assumed to be isotropic within the plasma.