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

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2.3 Kinetic Modeling<br />

2.3.2 <strong>Nitrogen</strong> Oxide Chemistry<br />

Since nei<strong>the</strong>r <strong>the</strong> Princeton nor <strong>the</strong> Aachen mechanism contains nitrogen oxide<br />

chemistry, it had to be added to <strong>the</strong> hydrocarbon mechanism. In terms<br />

<strong>of</strong> applicable NO x kinetics, literature refers to Li and Williams [250], based on<br />

<strong>the</strong> NO x chemistry <strong>of</strong> Hewson and Bollig [176], as well as to Hughes et al. [186],<br />

known as <strong>the</strong> “Leeds mechanism”. Thus, <strong>the</strong> following discourse deals with <strong>the</strong><br />

approach towards a combined mechanism (Chap. 2.3.3).<br />

Thermal<br />

Since <strong>the</strong> extended Zeldovich mechanism is a strong function <strong>of</strong> temperature,<br />

<strong>the</strong> concentration <strong>of</strong> NO is evaluated for different reference mechanisms and<br />

representative combinations <strong>of</strong> hydrocarbon and NO x chemistry. Figures 2.7<br />

and 2.8 show results obtained from an adiabatic, perfectly stirred reactor after<br />

1ms residence time (reactor loading). This is a reasonable time because <strong>the</strong><br />

present process is only a function <strong>of</strong> <strong>the</strong> chemical time scale, which is well<br />

below this time. No fuel (hydrocarbon) is applied to <strong>the</strong> initial conditions on<br />

<strong>the</strong> reactant side within this NO x chemistry study. Thus, <strong>the</strong> air is initialized<br />

with a composition identical to ISO standard reference conditions, with <strong>the</strong><br />

following mole fractions [190, 298]:<br />

X N2 = 0.782028, (2.22)<br />

X O2 = 0.207881, (2.23)<br />

X H2 O= 0.010091. (2.24)<br />

The exponential increase <strong>of</strong> NO formation with temperature is obvious and a<br />

result <strong>of</strong> <strong>the</strong> extended Zeldovich mechanism. Since <strong>the</strong>re is no carbon in <strong>the</strong><br />

gas phase, NO formation via <strong>the</strong> prompt NO path can be neglected. Although<br />

<strong>the</strong> <strong>the</strong>rmal NO chemistry is similar in <strong>the</strong> mechanisms shown in Figure 2.7,<br />

<strong>the</strong> scatter in <strong>the</strong> results appears to be large. This is due to <strong>the</strong> fact that <strong>the</strong><br />

kinetics compared are lumped mechanisms including only a reduced set <strong>of</strong><br />

species. Moreover <strong>the</strong>y are optimized to fit certain experimental data and validated<br />

against a limited range <strong>of</strong> problems. The formation <strong>of</strong> O, H, and OH<br />

radicals is critical to <strong>the</strong> production <strong>of</strong> NO x in air at high temperatures but<br />

dominated by <strong>the</strong> respective radicals due to fuel oxidation in <strong>the</strong> presence <strong>of</strong><br />

43

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