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4.2. DETAILS OF THE MODEL 4. FLUID MODELLING OF CO2 DISSOCIATION sgn(Zj ) yields the sign of Zj . Furthermore, the term Sj on the right-hand side of (4.4) describes the gain and loss of particles in the plasma due to collisional and radiative processes and the terms −e0ΓeE and Pe in (4.5) denote the power input from the electric field and the gain and loss of electron energy resulting from the various collision processes, respectively. The colli- sional power gain is caused by superelastic electron collisions as well as collisional and associative detachment processes. The collisional power loss considered is due to elastic collisions, electron impact excitation, dissociation, ionization and detachment, electron attachment and electron-ion recombination. A detailed description of these terms can be found e.g. in [173, 174]. In particular, the power gain rate resulting form collisional and associative detachment P cd is given by ∑ p with the rate cofficient kp and power gain Up by an individual detachment process p. Furthermore, the power loss rates due to elastic collisions Pel, inelastic collisions Pin leading to excitation, dissociation, ionization and detachment as well as two-body elec- tron attachment P at are determined according to Pcd(x,t) = n(1)(x,t)n(2)(x,t)k U (4.9) pppp ∑ Pel(x,t) = n (x,t) ejj j ∑∑ n (x,t) j jm ∑ (4.10) (4.11) (4.12) of mass m , the rate coefficient kin of the mth inelastic collision processes of elec- j j,m trons with neutral species j and the individual energy rate coefficients Kat for two-body j electron attachment are given by (4.14) (4.15) These rate coefficients are determined by an integration of the product of electron colli- sion cross section and isotropic part f0(U) of the electron velocity distribution function 81 Pin(x,t) = n (x,t) e Uin kin , j,m j,m n (x,t)Kat , where the rate coefficient Kel for energy dissipation in elastic collisions with species j Pat(x,t) = n (x,t) ejj j j mm j 0 BgdU0 √j∫e0 √ e∫0 2∞ 2∞ j,m m j,m 0 kin = Kat = UQin (U)f(U)dU, U2Qat(U)f (U)dU . jmj0 e0 j n (x,t)Kel , m√2∫∞(d) Kel =2 e U2Qd(U) f (U)+k T f (U) dU, (4.13)PDF Image | Understanding CO2 containing non-equilibrium plasmas
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