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4. FLUID MODELLING OF CO2 DISSOCIATION 4.3. REACTION KINETICS MODEL 4.3.1 Transport and electron rate coefficients In order to describe the flux of particles and electron energy according to (4.7) and (4.8), the corresponding transport coefficients are required. The mobility of the positive and negative ions specified in table 4.1 are determined as a function of the reduced electric field E/N, where N is the number density of the neutral gas. Here, the mobility of CO+2 in CO2 given in [188] and of O– and CO–3 in CO2 according to [189] are employed. The mobility of O–2 and CO–4 is assumed to be the same as that of O– and CO–3, respectively. The corresponding diffusion coefficients are calculated using the Einstein relation [36]. Regarding the neutral species, the diffusion coefficient of CO2 in CO2 is taken from the relation NDCO2 = 3.07 × 1020 m−1s−1 according to [190], where the same value is also used for all vibrationally and the electronically excited states. Furthermore, the coefficients NDCO = 9.86 × 1018 m−1s−1 [153], NDO2 = 7.3 × 1020 m−1s−1 [153] and NDO = 6.5 × 1018 m−1s−1 [161] are used and the diffusion coefficient of O3 in CO2 is assumed to be the same as that of O2. In the framework of the present fluid model, the local-mean-energy approximation is used for the description of the electron properties [191]. That is the transport and rate coefficients of the electrons including the coefficients (4.13) and (4.15) are determined in advance from the solution of the steady-state, spatially homogeneous electron Boltzmann equation using the collision cross section data according to table 4.2. The kinetic equa- tion of the electrons has been solved for given reduced electric field, gas temperature and cross section data in multiterm approximation of the EVDF expansion in Legendre polynomials using a generalized version of the method described in [192] adapted to take nonconservative electron collisions and the random motion of gas particle into account. The resulting coefficients have subsequently been put into look-up tables as a function of the mean electron energy Ue and used in the model calculations. Notice that the consist- ent coefficients ̃be and D ̃e of the electron energy transport have been utilized instead of the frequently used simplified expressions ̃be = 5Uebe/3 and D ̃e = 5UeDe/3 [193]. Based on the solution of the electron Boltzmann equation, it is also possible to get an impression of the fraction of power transferred from plasma electrons to different channels of collisions of the CO2 molecule. Using equations (4.13), (4.14) and (4.15), the fraction of transferred power can be calculated by dividing the energy rate coeffi- cient Kel for elastic collisions , the individual energy rate coefficient Uin kin CO2 CO2 ,m CO2 ,m for the mth inelastic collision process and the energy rate coefficient Kat for two- CO2 body electron attachment, respectively, by the total energy rate coefficient Kel + ∑ Uin kin m CO2,m CO2,m CO2 + Kat . The resulting fractions of power transferred to different CO2 88PDF Image | Understanding CO2 containing non-equilibrium plasmas
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