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

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5.4 Influence <strong>of</strong> Droplet Size<br />

Mole fraction <strong>of</strong> O2 XO2<br />

0.2<br />

0.1<br />

0.0<br />

Time-averaged<br />

flame stand-<strong>of</strong>f ratio ζ<br />

4<br />

2<br />

Hot air atmosphere<br />

Exhaust atmosphere<br />

0<br />

1600 1800 2000 2200 K<br />

Initial temperature T g,0<br />

Figure 5.20: Dependence <strong>of</strong> Flame Stand-<strong>of</strong>f on Temperature and Initial Oxygen Concentration.<br />

The time-averaged flame stand-<strong>of</strong>f ratio ζ indicates <strong>the</strong> flame position,<br />

and <strong>the</strong> initial mole fraction <strong>of</strong> oxygen X O2 stands for <strong>the</strong> ratio <strong>of</strong> oxidant and<br />

inert gas.<br />

5.4 Influence <strong>of</strong> Droplet Size<br />

Generally, a practical spray can be regarded as a spectrum <strong>of</strong> droplets <strong>of</strong> different<br />

sizes. For technical atomizers, this spectrum typically ranges from a few<br />

micrometers up to around 500µm [244]. Since <strong>the</strong> combustion characteristics<br />

<strong>of</strong> such a spray vary considerably with <strong>the</strong> prevailing mean droplet size<br />

and droplet size distribution, this section rounds <strong>of</strong>f <strong>the</strong> parameters considered<br />

here and relevant to NO x formation, that can be influenced by technical<br />

means. The results were obtained from numerical as well as experimental<br />

studies, and single droplets as well as droplet arrays were investigated.<br />

Chapter 5.1 describes droplets burning in <strong>the</strong> atmosphere <strong>of</strong> hot exhaust gas<br />

<strong>of</strong> different equivalence ratios φ. The same numerical configuration is used<br />

to study <strong>the</strong> impact <strong>of</strong> <strong>the</strong> initial droplet diameter D 0 on NO x formation, with<br />

185

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