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

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A Chemical Mechanisms<br />

<strong>the</strong> reactions appearing in <strong>the</strong> particular field <strong>of</strong> application as accurately as<br />

possible. The set <strong>of</strong> preselected species A also has to be chosen to fit <strong>the</strong> later<br />

field <strong>of</strong> application, which is not trivial and requires a priori knowledge about<br />

<strong>the</strong> overall reactions <strong>of</strong> <strong>the</strong> system.<br />

Sun et al. [157, 256, 426] provide a set <strong>of</strong> tools along with <strong>the</strong>ir method to carry<br />

out <strong>the</strong> whole process <strong>of</strong> kinetics reduction. The procedure implemented in<br />

<strong>the</strong> PFA reduction tools uses a general method to capture species production<br />

rates from a wide range <strong>of</strong> reaction phenomena. This method presumes that<br />

all phenomena dominating reactions appear during ignition and extinction <strong>of</strong><br />

<strong>the</strong> flame. Ignition is modeled by a perfectly stirred, closed adiabatic reactor at<br />

constant pressure, available in <strong>the</strong> s<strong>of</strong>tware package Senkin [259, 348]. Here,<br />

a homogeneous mixture is investigated at temperatures <strong>of</strong> T 0 ≥ 1000 K. The<br />

ensuing species net production rates are captured at fixed time intervals until<br />

<strong>the</strong> mixture ignites, with ignition delay time t ign being defined as<br />

T (t ign )=T 0 + 400 K.<br />

(A.15)<br />

To obtain species production rates <strong>of</strong> <strong>the</strong> extinction phenomena, a perfectly<br />

stirred reactor (PSR) is used. More precisely, this is an open, adiabatic constant<br />

mass flow reactor at constant pressure. A mixture at low temperatures<br />

is inserted into this reactor at a progressive rate with T in = 300K. Here, <strong>the</strong><br />

species production rates are captured while <strong>the</strong> mass flow rate is increased<br />

until flame blowout. Finally, all species production rates from <strong>the</strong> Senkin and<br />

PSR calculations are combined in one library. For execution <strong>of</strong> <strong>the</strong> actual PFA<br />

method, values <strong>of</strong> ˙ω Al are taken from this library.<br />

This set <strong>of</strong> PFA tools was employed to reduce <strong>the</strong> combined kinetics “n-<br />

Decane (Princeton) + NO x (Li)” with an initial number <strong>of</strong> 99 species and 693<br />

reactions. The goal was to deliberately provide and evaluate a reduction by<br />

about one third. Thus, <strong>the</strong> threshold ε was trimmed to obtain a reduced mechanism<br />

with 64 species. For <strong>the</strong> Senkin and PSR calculations, <strong>the</strong> initial mixture<br />

properties were varied to obtain <strong>the</strong> optimum with respect to an application in<br />

droplet combustion. As illustrated in Table A.1, <strong>the</strong>se properties included <strong>the</strong><br />

range <strong>of</strong> equivalence ratios φ, range <strong>of</strong> temperatures T 0 , and different sets <strong>of</strong><br />

preselected species A. The species C 10 H 22 , N 2 , O 2 , CO 2 , and H 2 O were considered<br />

to be essential for <strong>the</strong> combustion process in general and were <strong>the</strong>refore<br />

preselected in any case. The different parameter sets were varied systematically:<br />

<strong>On</strong>ly one parameter was changed, while <strong>the</strong> two remaining ones were<br />

206

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