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3. PROPERTIES OF MICRO-DISCHARGES 3.4. DISCUSSION second filament bridge a wider gap at a different location and not necessarily between the electrodes which is seen in figure 3.12c . The cathode fall region of the second filament not coinciding with the cathode fall region of the first filament shows that the charge deposited by the first filament, prevents the ignition of the second filament at the same location. Such an effect of distortion of electric field by the first filament and consequent movement of second filament to adjacent area has also been reported by Brandenburg et al [147]. A filament that bridges a wider gap is longer in length hence transports a bigger amount of charge [148]; because it has to access area that is not affected by charge de- posited by the first filament, the second filament is longer than the first one which results in a difference between ∆Qf 2 and ∆Qf 1 as shown in figure 3.11. To bridge bigger gaps, a higher energy input is required which manifests as a increased power input required to create new filaments – reason behind the power-law relation observed in figure 3.9. In other words, the distortion in the electric field caused by the charge deposited by the earlier filaments make it difficult to create subsequent filaments in a HC hence the power law relation between Navg and Pavg. It has also been observed that the location of the second filament varies significantly when compared with the stable first filament. The reason for this instability in the location of foot of the second filament, as in the case of increased variation in Navg with Pavg, could be either due to fundamental change in capacitance of the system with charge deposition or could be because of unstable power source. At very low values of Espec, only one filament per half cycle results but α still follows the trend-line. This fact will be made used in later chapters where the mechanistic aspects of CO2 dissociation will be studied. Now that the reason behind the power-law between Navg and Pavg has been explained, a simple model can be used to see why this should be the basis of power law relation between α and Espec. Conversion efficiency, α, can be written in terms of ratio of flux of CO molecules produced, ΦCO integrated over time and volume, to the flux of molecules of ΦCO2 fed in a given residence time τ. For a single filament, total number of CO molecules produced ∫V∫Tf ∂nCO nCO1 = number of CO molecules produced in τ is ∫V∫Tf ∂nCO ∂t dtdV (3.8) where f is frequency of applied voltage and Tf is the time for which one filament lasts. The factor 2 appears since Navg is counted per half cycle. From this conversion efficiency 60 ∂t dtdV (3.7) where ∂nCO is the rate of production of CO as a function of time and space. The total ∂t nCO = 2fτNavg 00 00PDF Image | Understanding CO2 containing non-equilibrium plasmas
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