It is pointed out that the vibrational temperatures of the symmetric s
tretch and bending modes of CO2 being almost equal, are close to the t
ranslational temperature (T) of the fast-axial-flow continuous wave CO
2 laser Plasma. This allows one to base the analysis of the processes
in such plasmas on the three temperature approximation (translational
temperature, vibrational temperature of the asymmetric stretch mode of
CO2 (T3) and vibrational temperature of N2 (T4)) leading to a substan
tial reduction of computer time when compared with the conventional fi
ve temperature approximation. Approximations of the three temperature
model are supported by the results of our computations and by the avai
lable experimental data. When applied to the industrial fast-axial-flo
w laser, our model predicts a gradual increase in T, T3 and T4 along t
he laser axis, with T reaching about 360 K, T3 and T4 reaching about 2
500 K, which agrees with experimental observations.