Zur Theorie der Wirbelstabilisierung in einem zylindrischen Lichtbogen

Contrarily to well known cylindrical, whirl-stabilized electric arcs with rotating walls or with nearly tangential gas inlets, we discuss a new geometry of an electric arc for producing a whirl around the axis. These investigations have been performed for transferring the theory to a torus arc in a similar way. By using a numerically calculated temperature distribution the hydrodynamic properties are studied taking into consideration the single-fluid model of plasma physics. The results are compared with our experiments and those of other institutes. They agree well and give hope to a stabilizing effect for an electric arc of this geometry. The analytical distributions of the velocities and the pressure are calculated on the basis of perturbation theory. The results are applied to a nitrogen arc at a pressure of one atmosphere and for a definite set of parameters.