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3. PROPERTIES OF MICRO-DISCHARGES 3.4. DISCUSSION observation has been made by Mangolini et al [151], in a plane-plane DBD operating in a glow discharge mode in helium, that the charge deposited by the first discharge event (ionization wave in case of glow discharge equivalent to filaments in filamentary mode) prevents the second event to access the same area. The surface charge density and its effect on subsequent filaments and the effect on charge has been partially described by Gibalov et al [136]. From a two-dimensional model they arrive at conclusion that at very close spacing between filaments, the subsequent filaments always appear between the locations which have already been used. They also report that the charge carried by the subsequent filaments decrease. But, they do not explain if the power consumed by the subsequent filaments is same or not, hence the discrepancy in the description of charge between their model and experiments here. Even if the filaments are not constrained by the size, from extensive analysis on micro-discharges, Peeters [122] has shown that the filaments even in planar DBDs, have to "communicate" with each other and hence dis- tortion of the electric field by the preceding filaments on subsequent filaments is not far fetched. There are other useful inferences that can be made from the results reported in section 3.3. Using the lowest value of α shown in the figure 3.8 and the values of flow and geometry of the reactor, an order of magnitude estimate for α per filament can be arrived at. As shown in the section 3.3.3, at lowest powers injected only one filament per half cycle is generated. At the same time the maximum value of τ is realized at low flow (400 sccm) and highest pressure (1000 mbar): 2.94 s. Assuming one filament per half cycle, the number of filaments, the gas sees approximately 130,000 filaments in 2.94 s at a frequency of 22 kHz. From these values the conversion efficiency for each filament should be 10−7 %. As will be shown in the later chapters this order of magnitude seems in the same range as predicted by fluid model. However, it has to be noted that it is the lower limit because residence time is highly over estimated. Eliasson et al [66] reported a conversion efficiency of 10−5 % by numerical calculation assuming only electron impact dissociation and Aerts et al [63] show a conversion of 10−2 % per filament, which are very much over estimated because of very high energy densities (Espec) assumed. The independence of ∆Qf 1 on operational parameters should manifest in the dimen- sions of the filament i.e change in volume. To see this effect on volume, time and space averaged electron density (ne) can be related with ∆Qf by equation 3.19 ne = ∆Qf (3.19) eVp Vp in the equation 3.19 is volume of plasma which depends on operational parameters and even on the sequence of the filament in a given half cycle i.e if the filament is first or 64PDF Image | Understanding CO2 containing non-equilibrium plasmas
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