Abstract
A new, more precise and simple semi-empirical formula has beenobtained for the prediction of the rotational velocity of magnetically drivenarcs in air and nitrogen. The formula is based on the balance between themotive Lorentz force and the aerodynamic drag force and takes into accountchanges in the gas density value due to the arc rotation and the axial gasvelocity. The formula enables the calculation of the arc velocity in electricarc heaters as a function of current, magnetic field, axial gas velocity andgas density. Experimental results are presented for arcs in air and nitrogen,for currents in the range 100-1760 A, magnetic induction values of0.005-3.9 T and axial gas velocities of 0.2-33 m s-1. The formula canbe useful for the study of cold electrode erosion and engineering calculationsof electric arc heaters.
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