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assuming constant pressure operation. Similarly in Equation 5.12, there are diffusion losses to the wall and a source term for reactions. Here Da,i represents the ambipolar diffusivity of species i, which is a function of ion and electron mobilities [4,96]. (5.11) (5.12) The above equations can be simplified using the assumption of a spatially uniform plasma. Thus the second order partial derivatives can be approximated by a diffusion length term of 1/λ2: −γiDiNi +γjfjiDjNj j The source term, Si, for gas phase reactions and electron-impact reactions takes into account the reactants (left-hand-side, LHS) and products (right-hand-side, RHS) for a given reaction. Given in Equation 5.14, the term aij is the stoichiometric coefficient of species i in reaction j for each side of the reaction [4,96]. The reaction rate coefficient, kj, is computed from EEDFs for electron-impact reactions and from Arrhenius expressions for gas phase reactions. dN NdT i =−∇ −γiDi∇Ni +γjfjiDj∇Nj +Si − i g dt j Tg dt dNi± dN1 i = 2 NdT +Si − i dt λ g (5.13) Tgdt dt = −∇ (−Da,i∇Ni) + Si aLHS aRHS −aLHSk N lj (5.14) S = i ij ij j l jl The differential equation for electron energy can be described using a power balance equation. The only source considered in the model for electron energy is the energy transferred from the applied electric field to electrons in the form of Joule heating. 101PDF Image | CO2 Conversion in a Microwave Plasma Catalyst System
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