V. Aubrecht et Jj. Lowke, CALCULATIONS OF RADIATION TRANSFER IN SF6 PLASMAS USING THE METHOD OFPARTIAL CHARACTERISTICS, Journal of physics. D, Applied physics, 27(10), 1994, pp. 2066-2073
Radiation emission and absorption in SF6 are plasmas are important ene
rgy transfer processes. Exact calculations, though possible in princip
le, are usually impossible in practice because of the need to treat ab
out 400 spectral lines and also continuum radiation spanning wavelengt
hs from 10 nm to 10 mu m. From calculated spectral absorptivities at 3
00 000 radiation frequency points for SF6 plasmas of 1, 5 and 10 bar f
rom 300 K to 35 000 K, we have calculated two integrals over radiation
frequency. These integrals, designated Som and Delta Sim are used in
the approximate method of 'partial characteristics', as formulated by
Sevast'yanenko. The validity of this method of partial characteristics
has been demonstrated by comparing exact calculations with the approx
imate calculations to evaluate radiation intensities, radiation fluxes
and divergence of radiation fluxes for specified temperature profiles
. Agreement to within 20% is obtained with exact calculations, but wit
h a reduction of computation time of about four orders of magnitude. F
urthermore, the new method has been used to evaluate net emission of r
adiation as a function of position in an algorithm to predict temperat
ure profiles of wall stabilized arcs of any given current. Fair agreem
ent is obtained between predicted and experimental values of central a
re temperatures and electric field strengths as a function of current
for SF6 arcs of radius 0.25 cm at a pressure of 1 bar.