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

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2.1 Classification <strong>of</strong> <strong>Combustion</strong> Processes<br />

Droplet Vaporization and Burning<br />

Recalling <strong>the</strong> schematic <strong>of</strong> Figure 1.1, Liñán and Williams [253] provide <strong>the</strong><br />

following summary on <strong>the</strong> process <strong>of</strong> liquid fuel injection and spray combustion.<br />

The authors state that a quantitative prediction <strong>of</strong> <strong>the</strong> histories <strong>of</strong> all <strong>of</strong><br />

<strong>the</strong>se processes is difficult, but progress is being made by addressing different<br />

aspects separately:<br />

• Atomization<br />

• Vaporization<br />

• Heat transfer<br />

• Droplet-air mixing<br />

• Vapor-air mixing<br />

• Ignition<br />

• Turbulent diffusion flames<br />

• Premixed combustion<br />

• Production <strong>of</strong> NO x and o<strong>the</strong>r pollutants<br />

• Extinction<br />

The majority <strong>of</strong> <strong>the</strong>se combustion processes take place in <strong>the</strong> gas phase, and<br />

<strong>the</strong> combustion products are typically gaseous [253, 443]. Law and Sirignano<br />

[233, 236, 402, 403, 405] and Faeth [126, 127] give a detailed review <strong>of</strong> <strong>the</strong> fundamentals<br />

<strong>of</strong> droplet vaporization and combustion. Discussing <strong>the</strong> major elements<br />

<strong>of</strong> an integrated approach, Sirignano [403] points out <strong>the</strong> necessity <strong>of</strong><br />

treating unsteady, multi-dimensional, turbulent reacting flows with polydisperse,<br />

multi-component sprays. A model has to account for transient droplet<br />

heating and vaporization, liquid-phase mass diffusion, and droplet drag and<br />

trajectory in a numerically efficient manner. Fur<strong>the</strong>rmore, Law and Faeth<br />

[235] recall that droplet vaporization and combustion is a classical problem <strong>of</strong><br />

heterogenous combustion, in particular when assuming quasi-steadiness and<br />

spherical symmetry. This simplifies <strong>the</strong> ma<strong>the</strong>matical aspects <strong>of</strong> <strong>the</strong> problem.<br />

21

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