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Etude de la combustion de gaz de synthèse issus d'un processus de ...

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Numerical simu<strong>la</strong>tion of a syngas-fuelled engine<br />

literature data and in addition with the rapid compression machine results obtained in<br />

this work. For this propose some adaptations to the engine-like co<strong>de</strong> are nee<strong>de</strong>d and<br />

are shown in advance.<br />

6.1 Thermodynamic mo<strong>de</strong>l<br />

The basis for multi-zone mo<strong>de</strong>ls is formed by consi<strong>de</strong>ration of conservation of mass<br />

and energy. In the following, the equations for the cylin<strong>de</strong>r pressure and temperature(s)<br />

are <strong>de</strong>rived. This will show where additional information, in the form of sub-mo<strong>de</strong>ls, is<br />

necessary in or<strong>de</strong>r to close these equations.<br />

tel-00623090, version 1 - 13 Sep 2011<br />

Before conservation of energy is written down for the cylin<strong>de</strong>r volume, from inlet valve<br />

closing (IVC) time to exhaust valve opening (EVO) time (i.e. the power cycle), some<br />

assumptions are generally adopted to simplify the equations. During compression and<br />

expansion, pressure is invariably assumed uniform throughout the cylin<strong>de</strong>r; with fixed<br />

unburned and burned gas regions in chemical equilibrium. During f<strong>la</strong>me propagation,<br />

burned and unburned zones are assumed to be separated by an infinitely thin f<strong>la</strong>me<br />

front, with no heat exchange between the two zones. All gases are consi<strong>de</strong>red i<strong>de</strong>al<br />

gases; possible invalidity of the i<strong>de</strong>al gas <strong>la</strong>w at high pressures is countered by the<br />

associated high temperatures un<strong>de</strong>r engine <strong>combustion</strong> conditions. As the mo<strong>de</strong>l is<br />

zero-dimensional in nature, it does not account for any geometrical consi<strong>de</strong>rations of<br />

the f<strong>la</strong>me front position during <strong>combustion</strong>. As an example, figure 6.1 shows a<br />

schematic, only of qualitative nature, of the <strong>combustion</strong> chamber.<br />

V b1<br />

V b2<br />

V u<br />

V b4<br />

V b3<br />

V b4<br />

V u<br />

Figure 6.1– Schematic of the <strong>combustion</strong> chamber with four burned zones.<br />

This is the most frequently used approach for engine <strong>combustion</strong> mo<strong>de</strong>ls, where the<br />

f<strong>la</strong>me area is a spherical f<strong>la</strong>me front truncated by the cylin<strong>de</strong>r walls and the piston,<br />

168

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