The behavior of a free-burning argon are including the cathode region
is investigated from a theoretical perspective. Two-dimensional differ
ential equations describing the conservation of mass, momentum, energy
, and electrical current density are solved together with Ohm's law an
d Maxwell's equation for the magnetic field in a cylindrical coordinat
e system using an iterative finite volume method. Recent data of the r
adiative losses from an argon plasma in the form of net emission coeff
icients are used. Simulations are made at various electrical currents
for different electrode gaps. Predicted isotherms of the are are in fa
ir agreement with existing experimental results. Particularly, reasona
ble profiles of current density at a plane beneath the cathode tip are
predicted, even though nonequilibrium behavior in the cathode sheath
is neglected. Comparisons of the present current density profile with
reported results are made. In addition, the effect of the length scale
required in the use of net emission coefficients to model the radiati
ve characteristics of the are is studied.