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Appendix 3.A Diffusion analysis Spatio-temporal distribution of concentration, C(x,t), of a species with initial concen- tration C0, with initial dimension of 2L is given by equation 3.21 [152] √π x+L √π x−L C(x,t)= 2 erf(2√Dt)− 2 erf(2√Dt) (3.21) where D is diffusion coefficient of diffusing species in a background gas. x and t are space and time co-ordinates respectively. In CO2 DBD, the background gas is CO2 and the diffusing species can be CO 1 0.8 0.6 0.4 0.2 0 −100 −50 0 50 100 Distance (μm) t = 0 μs t = 25 μs t = 50 μs t = 100 μs Figure 3.13: Diffusion profile of CO in CO2. D=0.283 cm2s−1 at 400K [153] In the example shown in figure 3.13, spatio-temporal evolution of a slab of length 40 μm of CO has been calculated using equation 3.21. It clearly shows that even after many 69 CoPDF Image | Understanding CO2 containing non-equilibrium plasmas
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