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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 />

form <strong>the</strong> basis <strong>of</strong> <strong>the</strong> calibration method. As <strong>the</strong> lower limit <strong>of</strong> <strong>the</strong> time integral<br />

can easily be linked with <strong>the</strong> obvious increase <strong>of</strong> <strong>the</strong> measurement signal<br />

(Fig. 3.16), a reasonable value has to be identified for its upper limit only.<br />

Therefore, different filters define contrasting upper limits. Figure 3.17 displays<br />

resulting calibration curves based on <strong>the</strong> recorded data basis and linear curve<br />

fits for four exemplary filters (i.e. time integrals). Data are consistent and deviations<br />

from <strong>the</strong> ideal trend are marginal for all four examples. Never<strong>the</strong>less,<br />

<strong>the</strong> 10% filter shows <strong>the</strong> best performance and was selected for <strong>the</strong> present<br />

study. It stops integration as soon as <strong>the</strong> measurement signal drops below<br />

10% <strong>of</strong> its maximum value. The related raw data have a standard deviation<br />

σ <strong>of</strong> <strong>the</strong> range <strong>of</strong> 0.032 to 0.090 , typical error (σ/N 1 2 ) <strong>of</strong> <strong>the</strong> range <strong>of</strong> 0.011 to<br />

0.027 , and coefficient <strong>of</strong> variation (CV = 1/SNR = σ/µ) <strong>of</strong> <strong>the</strong> range <strong>of</strong> 0.91 to<br />

3.64% [409]. The line equation <strong>of</strong> <strong>the</strong> linear curve fit is: y = 0.3242 x (Fig. 3.17,<br />

10% filter). The respective coefficient <strong>of</strong> determination is R 2 = 0.9995.<br />

Fur<strong>the</strong>rmore, <strong>the</strong> converter efficiency according to Equation (3.5) was determined<br />

by gas phase titration and totaled 94.5 % during <strong>the</strong> final measurement<br />

campaign [115]. It is typically in <strong>the</strong> range <strong>of</strong> 83 to 97% but depends on <strong>the</strong><br />

absolute NO 2 concentration, <strong>the</strong> age and use history <strong>of</strong> <strong>the</strong> converter, and <strong>the</strong><br />

gas matrix used for its determination [136].<br />

Calibration <strong>of</strong> FT-IR Spectrometer<br />

The calibration <strong>of</strong> a FT-IR spectrometer requires a high temperature and pressure<br />

stability <strong>of</strong> <strong>the</strong> calibration gas supplied, as does <strong>the</strong> final analysis process.<br />

Misinterpretation would be a consequence <strong>of</strong> varying density in <strong>the</strong> optical<br />

measurement cell. Ideally, both <strong>the</strong> reference and final analysis spectra are<br />

recorded with identical hardware setups as well as identical operational parameters.<br />

In order to quantify <strong>the</strong> gaseous compounds in <strong>the</strong> exhaust gas, two existing<br />

multi-component gas analysis methods were refined and employed with <strong>the</strong><br />

NEXUS ® 470 spectrometer <strong>of</strong> Thermo Electron [334, 423]. They include corrections<br />

for interferences and are outlined in Tables 3.7 and 3.8. For Standard<br />

No. 1 (Tab. 3.7), <strong>the</strong> FT-IR measurement cell was controlled at a constant temperature<br />

<strong>of</strong> T = 458 K and an absolute pressure <strong>of</strong> p = 866 mbar. Potassium<br />

bromide (KBr) windows were used for optical access to <strong>the</strong> cell due to <strong>the</strong>ir<br />

96

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