Abstract
A method is presented for extending the theory of wall stabilized arcs to free burning arcs. It is based on accounting for the finite length of the arc column and utilizing the fact that such arcs are normally very thin compared to this length. Detailed calculations are performed for an arc column with constant properties, and an outline is given for incorporating more realistic properties. An interesting result of the analysis is that the axis temperature must increase greatly in front of the electrodes.

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