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On the Formation of Nitrogen Oxides During the Combustion of ...

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2.2 Theory <strong>of</strong> Exhaust Gas <strong>Formation</strong><br />

Non-dimensional inter-droplet distance S/D0<br />

Equivalent gas temperature for fuel C 10 H 22 T eq,C10 H 22<br />

245 490 735 K<br />

25.0<br />

20.0<br />

15.0<br />

10.0<br />

5.0<br />

0.0<br />

No flame spread,<br />

pure vaporization<br />

Mode I<br />

Mode II<br />

Mode III<br />

Premixed flame<br />

propagation<br />

Autoignited<br />

individual<br />

droplet<br />

combustion<br />

Autoignited<br />

droplet<br />

array<br />

combustion<br />

0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20<br />

Non-dimensional gas temperature R s T ∞ /∆h v<br />

Figure 2.5: Schematic <strong>of</strong> Flame Propagation Modes for Linear Droplet Arrays (reprinted<br />

and adapted from Refs. [318, 456]). Experimental setups <strong>of</strong> <strong>the</strong> present study are<br />

included in <strong>the</strong> plot and marked by hatched areas.<br />

continues burning by itself without participating in group combustion. The<br />

mode map, as depicted in Figure 2.5, is applicable to any kind <strong>of</strong> liquid hydrocarbon<br />

fuel and combustion under atmospheric pressure [318, 446, 447, 456].<br />

The droplet array setups <strong>of</strong> <strong>the</strong> present study are also indicated in Figure 2.5.<br />

Setups without fuel pre-vaporization can be located in Mode I and II, whereas<br />

setups with pre-vaporization are on <strong>the</strong> border <strong>of</strong> “no flame spread” and Mode<br />

III. Due to pre-vaporization and <strong>the</strong> ensuing formation <strong>of</strong> a combustible gas<br />

layer in <strong>the</strong> proximity <strong>of</strong> <strong>the</strong> droplets, this region becomes accessible to flame<br />

propagation, <strong>of</strong>fering some potential for NO x abatement (cf. Fig. 2.2).<br />

2.2 Theory <strong>of</strong> Exhaust Gas <strong>Formation</strong><br />

There are a number <strong>of</strong> different emission sources <strong>of</strong> pollutant gases into <strong>the</strong><br />

atmosphere. Many <strong>of</strong> <strong>the</strong>m are not <strong>of</strong> anthropogenic origin and might be<br />

27

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