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

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1 Introduction<br />

In <strong>the</strong>rmal engines <strong>the</strong> time between atomization and ignition <strong>of</strong>ten is too<br />

short to achieve full premixing, or premixed flames are not even desirable<br />

because <strong>the</strong>ir heat release characteristics are incompatible with <strong>the</strong> engine<br />

requirements. Often, droplet sizes and vaporization rates allow only small<br />

amounts <strong>of</strong> fuel to be vaporized before ignition, and a nonpremixed flame is<br />

observed around <strong>the</strong> droplets or <strong>the</strong> droplet cloud. In diffusion-dominated<br />

single droplet combustion, vaporized fuel from <strong>the</strong> droplets is transported<br />

from one side into <strong>the</strong> spherical flame zone, whereas oxygen (O 2 ) diffuses from<br />

<strong>the</strong> opposite direction. It is observed that <strong>the</strong> reaction zone stabilizes near<br />

stoichiometric conditions. Under <strong>the</strong>se conditions <strong>the</strong> exo<strong>the</strong>rmic reaction<br />

sequence <strong>of</strong> <strong>the</strong> combustion process produces <strong>the</strong> highest temperature rise.<br />

However, this naturally leads to undesired <strong>the</strong>rmal NO (nitric oxide) formation<br />

and imposes limitations on <strong>the</strong> NO x (principally NO and NO 2 ) emission levels<br />

that can be reached without full pre-vaporization [253, 298, 443, 451, 458, 461].<br />

1.2 Droplet and Spray <strong>Combustion</strong><br />

Spray flames are generally characterized by <strong>the</strong> coexistence <strong>of</strong> premixed and<br />

nonpremixed flames [241, 242, 244, 263]. Figure 1.1 illustrates <strong>the</strong> processes <strong>of</strong><br />

liquid fuel injection and spray combustion. Liquid fuel is injected into a combustion<br />

chamber, where <strong>the</strong> fuel jet is atomized. The resulting droplets vaporize<br />

partially. The mixture <strong>of</strong> fuel vapor and air can auto-ignite or be ignited<br />

by an ignition source, depending on local temperature, pressure, and equivalence<br />

ratio. Provided a sufficient amount <strong>of</strong> flammable mixture and heat <strong>of</strong><br />

reaction is given, a flame zone forms around single droplets or droplet groups<br />

[72, 73, 305]. In order to maintain reaction, reactants continually need to diffuse<br />

into <strong>the</strong> flame zones from <strong>the</strong> droplets and gas phase, respectively, or <strong>the</strong><br />

flame front itself needs to propagate towards unconsumed reactants. Because<br />

<strong>of</strong> its exo<strong>the</strong>rmic nature, <strong>the</strong> combustion reaction causes a rise in temperature.<br />

Fur<strong>the</strong>rmore, fuel consumption steepens <strong>the</strong> concentration gradients,<br />

and thus drives diffusive transport in <strong>the</strong> vicinity <strong>of</strong> <strong>the</strong> droplet. Consequently,<br />

<strong>the</strong> droplets burn in a mixed atmosphere <strong>of</strong> fuel vapor, air, and hot exhaust<br />

gas, and vaporization <strong>of</strong> <strong>the</strong> surrounding droplets is accelerated due to <strong>the</strong><br />

increase in temperature.<br />

2

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