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

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3 Experiments on Droplet Array <strong>Combustion</strong><br />

run. Fur<strong>the</strong>rmore, t min does not necessarily need to be as early as shown in<br />

Figure 3.20. It can also be specified in such a way that it might chronologically<br />

lie behind <strong>the</strong> achievement <strong>of</strong> <strong>the</strong> two temperature conditions. For <strong>the</strong><br />

sounding rocket campaign, <strong>the</strong> temperature conditions were uniformly set to<br />

T 1 = T 2 = 508.15 K (= 235 ◦ C) [196, 197]. Figures D.1 through D.3 show <strong>the</strong> actual<br />

experiment readings including <strong>the</strong> values specified for t min and t max .<br />

3.3 Numerical Study <strong>of</strong> <strong>the</strong> Fluid Dynamics Within <strong>the</strong> <strong>Combustion</strong><br />

Chamber<br />

The density decrease <strong>of</strong> <strong>the</strong> gas inside <strong>the</strong> combustion chamber, accompanied<br />

by <strong>the</strong> temperature increase <strong>of</strong> <strong>the</strong> combustion process, is one <strong>of</strong> <strong>the</strong> most<br />

crucial issues <strong>of</strong> <strong>the</strong> experiment. 4 It causes an estimated volume expansion<br />

<strong>of</strong> 1.2 to 1.8. This expansion results in a discharge <strong>of</strong> some exhaust gas from<br />

<strong>the</strong> open combustion chamber. Fur<strong>the</strong>rmore, “fresh” air is entrained into <strong>the</strong><br />

combustion chamber by exhaust gas sampling. As a volume <strong>of</strong> 200 ml exhaust<br />

is to be collected for <strong>the</strong> gas analysis and <strong>the</strong> combustion chamber itself has a<br />

volume <strong>of</strong> 378 ml, <strong>the</strong> losses are significant and need to be considered within<br />

<strong>the</strong> analysis process and scientific interpretation <strong>of</strong> <strong>the</strong> results. Consequently,<br />

a numerical study <strong>of</strong> <strong>the</strong> two gas exchange processes was conducted within<br />

<strong>the</strong> design process <strong>of</strong> <strong>the</strong> experiment setup, reflecting <strong>the</strong> open combustion<br />

chamber [293]. The coordinate system employed for studying both processes<br />

is identical to <strong>the</strong> one introduced in Figure 3.7.<br />

Computational fluid dynamics (CFD) was used to solve <strong>the</strong> fluid flow in a<br />

three-dimensional full-scale model <strong>of</strong> <strong>the</strong> combustion chamber. The experimental<br />

parameters <strong>of</strong> <strong>the</strong> TEXUS-46 sounding rocket flight, with five n-decane<br />

droplets, were <strong>the</strong> basis for this study. The s<strong>of</strong>tware package ANSYS ® CFX ®<br />

11.0 was used for <strong>the</strong> numerical studies and ICEM CFD for mesh generation.<br />

The discretization in CFX ® 11.0 is realized by <strong>the</strong> finite volume method<br />

[21, 22]. Heat transfer by radiation is neglected due to <strong>the</strong> simplicity <strong>of</strong> <strong>the</strong><br />

droplet model <strong>of</strong> this CFD study, which results in noticeable deviations from<br />

<strong>the</strong> physical experiment. However, this CFD study was conducted with <strong>the</strong><br />

4 Assuming, hypo<strong>the</strong>tically, a perfectly premixed fuel-air mixture inside <strong>the</strong> combustion chamber and a preheating<br />

temperature <strong>of</strong> 500K, <strong>the</strong> global equivalence ratio calculates to φ= 0.36, which is well below <strong>the</strong> lean<br />

flammability limit. The equilibrium temperature for <strong>the</strong>se conditions would be 1387 K [300, 443].<br />

104

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