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

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4 Numerical Modeling and Simulation<br />

288.0<br />

K<br />

Radial coordinate r<br />

Droplet temperature Tl<br />

287.0<br />

286.0<br />

285.0<br />

284.0<br />

t = 0.001 x 10 −3 s<br />

t = 0.031 x 10 −3 s<br />

t = 0.076 x 10 −3 s<br />

t = 0.194 x 10 −3 s<br />

t = 0.517 x 10 −3 s<br />

283.0<br />

0 x 10 −6 10 x 10 −6 20 x 10 −6 30 x 10 −6 40 x 10 −6 50 x 10 −6 m<br />

Figure 4.5: Transient Temperature Increase Inside <strong>of</strong> a Droplet <strong>During</strong> Initial Droplet Heating<br />

Phase. The initial droplet temperature is T l ,0 = 283.15K, and <strong>the</strong> gas phase<br />

temperature is T ∞ = 473.15K.<br />

360<br />

K<br />

Time t<br />

Droplet surface temperature TS<br />

340<br />

320<br />

300<br />

T l,0 = 283 K<br />

T l,0 = 303 K<br />

T l,0 = 323 K<br />

T l,0 = 343 K<br />

T l,0 = 363 K<br />

280<br />

0.0 0.2 0.4 0.6 s<br />

Figure 4.6: Evolution <strong>of</strong> Droplet Surface Temperature for Different Initial Droplet Temperatures.<br />

The initial droplet temperature T l ,0 is varied, but <strong>the</strong> temperature <strong>of</strong> <strong>the</strong><br />

gas phase is kept constant at T ∞ = 473.15K.<br />

142

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