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

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5.1 Droplets in Exhaust Gas Atmosphere<br />

The main droplet simulations are conducted in <strong>the</strong> second step using <strong>the</strong> single<br />

droplet model <strong>of</strong> Chapter 4.5. For all investigated equivalence ratios, <strong>the</strong><br />

initial conditions <strong>of</strong> <strong>the</strong> droplet atmosphere are preset with temperature T 0<br />

and species mass fraction Y m,0 according to <strong>the</strong> exhaust gas <strong>of</strong> <strong>the</strong> respective<br />

premixed flame. As <strong>the</strong> temperature <strong>of</strong> <strong>the</strong> exhaust gas atmosphere is well<br />

above <strong>the</strong> auto-ignition temperature <strong>of</strong> C 10 H 22 [276], no particular ignition<br />

modeling by an external heat source is required here (cf. Chap. 4.3).<br />

Figure 5.1 depicts spatial pr<strong>of</strong>iles <strong>of</strong> temperature T and NO mole fraction X NO<br />

for droplet combustion in such a hot exhaust gas atmosphere. The particular<br />

2200<br />

K<br />

Temperature T<br />

2150<br />

2100<br />

2050<br />

Mole fraction <strong>of</strong> NO XNO<br />

2000<br />

2.0 x 10 −4<br />

1.5 x 10 −4<br />

1.0 x 10 −4<br />

0.5 x 10 −4<br />

t = 0.118 x 10 −3 s, D/D 0 = 99%<br />

t = 0.427 x 10 −3 s, D/D 0 = 97%<br />

t = 1.627 x 10 −3 s, D/D 0 = 90%<br />

t = 7.026 x 10 −3 s, D/D 0 = 50%<br />

t = 9.397 x 10 −3 s, D/D 0 = 1%<br />

2.5 x 10 −4 Radial distance r<br />

0.0 x 10 −4<br />

0.000 0.002 0.004 0.006 0.008 m<br />

Figure 5.1: Spatial Pr<strong>of</strong>iles <strong>of</strong> Temperature and NO Mole Fraction at Selected Times. A<br />

droplet <strong>of</strong> <strong>the</strong> initial diameter D 0 = 100µm vaporizes and ignites in <strong>the</strong> hot exhaust<br />

gas <strong>of</strong> a premixed flame, which itself has an equivalence ratio <strong>of</strong> φ= 0.8 [298].<br />

157

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