Zur Theorie der Gasaufheizung in axialsymmetrischen, wandstabilisierten Lichtbögen.

In this paper the properties and the dependence upon parameters of those quantities are investigated, which are characteristic for the gas-heating process in electric arcs with axial gas flow. Starting with the equations of the one-fluid-model of plasma physics three various methods are derived, to calculate analytically or numerically the thermal and electrical entities of the inlet region of the arc. With these results expressions can be given for the thermal and electrical inlet length. Further the azimuthal component of the velocity and its inlet length are determined. A discussion of the results will be outlined in a later paper (part II). [ABSTRACT FROM AUTHOR]