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Understanding CO2 containing non-equilibrium plasmas

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Understanding CO2 containing non-equilibrium plasmas ( understanding-co2-containing-non-equilibrium-plasmas )

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4. FLUID MODELLING OF CO2 DISSOCIATION 4.4. RESULTS AND DISCUSSION 4.3.2 Boundary conditions and solution method The system of partial differential equations (4.4)–(4.6) including the fluxes (4.7) and (4.8) is completed by appropriate boundary conditions. For the heavy particles, the electrons and the electron energy density, flux boundary conditions are employed at the dielectric surfaces in front of the electrodes at x = 0 and x = d (cf. figure 4.1b) taking into account partial reflection of the particles with reflection coefficients of 0.3 for electrons and neutral species and 0.001 for ions. Additionally, the emission of secondary electrons caused by positive ions impinging onto the surface is considered assuming a secondary electron emission coefficient of 0.02. Further details of these boundary conditions are given in [130]. For the determination of the electric potential and electric field in the gap, a sinus- oidal voltage U0(t) = V0 sin(2πft) with amplitude V0 and frequency f is applied at the powered electrode (x = −∆) and the potential at the grounded electrode (x = d + ∆) is zero. To describe adequately the accumulation of surface charges on the dielectrics the condition [130, 146] εrε0Ediel(x0, t) · ν − ε0E(x0, t) · ν = σ(x0, t) (4.16) is used at the plasma boundaries, where the parameter ν is given by ν = −1 at x0 = 0 and ν = 1 at x0 = d, respectively. The electric field Ediel inside the dielectrics with relative permittivity εr is obtained from the assumption of an immediate drop of the space charges inside the dielectrics by the Laplace equation and the temporal variation of the surface charge density σ results from the particle currents impinging onto the dielectrics [130]. The numerical solution of the resulting set of equation has been realized using the finite-difference method according to [130, 195]. In particular, an adaptive time stepping is used for the model calculation performed using 500 non-equidistant intervals with logarithmic meshing for the spatial grid. The calculations were done on Intel(R) Xeon(R) CPU E5-2603 CPUs with a processing speed of 1.8 GHz. A typical calculation of 20 voltage cycles at a discharge frequency of 130 kHz lasted about 5 days. 4.4 Results and discussion In order to analyse the behaviour of the CO2 DBD in the reactor configuration used in [60] by means of numerical modelling, a number of different operational parameters have been considered. These values are listed in table 4.6 and were selected to represent 90

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