Integral methods of analysing electric arcs: II. Examples

Abstract

Two problems are considered in the present paper as examples of the integral method formulated in part I (the preceding paper). The first concerns arcs in uniform flow, and it is shown that the only form of steady solution, if the conductance shape factor is taken to be a function of power level, is the fully developed arc. A known solution of the full differential equations provides a test of the adequacy of the result. Free recovery is briefly discussed. The second problem concerns steady arcs in nozzles. With the assumptions of constant shape factors and negligible radiation, a simple model is derived which provides insight into behaviour as a nozzle-blocking condition is approached.