The behavior of an arc operated in the nontransferred mode with a coni
cal-shaped cathode and a nozzle-shaped anode is studied by applying ge
neral two-dimensional conservation equations and auxiliary relations f
or the simulation of arc channel flows. The position of the arc-root a
ttachment at the anode surface is determined by using Steenbeck's mini
mum principle, which postulates a minimum arc voltage for a given curr
ent and certain given boundary conditions. The overall effects of the
anode-arc root on the plasma flow are studied by comparing the results
with those of the transferred mode of operation. Specific arc-channel
diameters are chosen in the simulation in order to verify the numeric
al model through comparisons with experimental results. The results sh
ow that Steenbeck's minimum principle is useful for determining the po
sition of the arc-root attachment at the anode surface. Application of
this method for control of the arc-anode attachment may be valuable i
n the design and operation of plasma spray torches to avoid jet instab
ilities.