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

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

due to combustion discussed above. <strong>On</strong> <strong>the</strong> one hand, gas is extracted from<br />

<strong>the</strong> combustion chamber through <strong>the</strong> sample probes, and on <strong>the</strong> o<strong>the</strong>r hand,<br />

“fresh” air is entrained from outside through <strong>the</strong> opening in <strong>the</strong> bottom <strong>of</strong> <strong>the</strong><br />

combustion chamber [293].<br />

In order to clarify and quantify <strong>the</strong> fluid dynamics <strong>of</strong> <strong>the</strong> sampling process<br />

in <strong>the</strong> combustion chamber, a second CFD study was conducted. Due to <strong>the</strong><br />

preceding combustion process and <strong>the</strong> implemented trigger logic (Fig. 3.20),<br />

flame extinction and homogenization <strong>of</strong> <strong>the</strong> combustion products within <strong>the</strong><br />

volume <strong>of</strong> <strong>the</strong> combustion chamber is presumed for <strong>the</strong> start <strong>of</strong> exhaust gas<br />

sampling in a first estimate. In reality, however, some pockets <strong>of</strong> fresh, unconsumed<br />

air remain, for instance, in <strong>the</strong> corners <strong>of</strong> <strong>the</strong> combustion chamber.<br />

Still, this CFD study was conducted independently <strong>of</strong> <strong>the</strong> solution <strong>of</strong> <strong>the</strong><br />

previous study on combustion. As <strong>the</strong> sampling process itself also aims at<br />

avoiding contamination effects due to fresh air entrainment, <strong>the</strong> numerical<br />

results were used in an iterative optimization <strong>of</strong> <strong>the</strong> probe locations by minimizing<br />

<strong>the</strong> amount <strong>of</strong> fresh air collected. Negative effects are possible for <strong>the</strong><br />

succeeding exhaust gas analysis if high amounts <strong>of</strong> fresh air are collected as a<br />

consequence <strong>of</strong> direct jets between <strong>the</strong> open bottom <strong>of</strong> <strong>the</strong> combustion chamber<br />

and <strong>the</strong> sample probes. O<strong>the</strong>r negative effects are possible if <strong>the</strong> probes<br />

are arranged ei<strong>the</strong>r too close to or too far from <strong>the</strong> combustion zone. Fur<strong>the</strong>rmore,<br />

<strong>the</strong> fresh air content calculated was used as a verification value in <strong>the</strong><br />

correction procedure for <strong>the</strong> dilution <strong>of</strong> <strong>the</strong> physical gas samples, which is a<br />

crucial step in post-processing <strong>of</strong> <strong>the</strong> gas analysis. The additional variable χ<br />

is introduced for this purpose into <strong>the</strong> CFD model, monitoring <strong>the</strong> local volume<br />

fraction <strong>of</strong> fresh air. At <strong>the</strong> start <strong>of</strong> exhaust gas sampling (t = 0s), it takes<br />

<strong>the</strong> value zero for <strong>the</strong> whole combustion chamber, whereas it tends to one for<br />

pure fresh air from outside <strong>the</strong> combustion chamber.<br />

The numerical model <strong>of</strong> this second process is similar to <strong>the</strong> above CFD model<br />

used on <strong>the</strong> combustion process. However, as no modeling <strong>of</strong> vaporization<br />

and combustion is needed here, it is simplified in several aspects, which reduces<br />

<strong>the</strong> requirements for computational power. Additionally, symmetry<br />

is implemented as a boundary condition in <strong>the</strong> longitudinal middle plane<br />

(z = 0mm) <strong>of</strong> <strong>the</strong> combustion chamber, <strong>the</strong> plane as shown in Figure 3.22.<br />

Consequently, only two sample probes are part <strong>of</strong> this second numerical domain.<br />

The boundary condition for <strong>the</strong> gas extraction through <strong>the</strong> sample<br />

probes is realized in CEL by <strong>the</strong> temporal specification <strong>of</strong> mass flow (down-<br />

111

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