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

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Chapter 6<br />

6.3.2.2 In-cylin<strong>de</strong>r volume<br />

The instantaneous cylin<strong>de</strong>r volume is calcu<strong>la</strong>ted based on the piston position as a<br />

function of crank angle and fitted by polynomial functions in or<strong>de</strong>r to be implemented in<br />

the co<strong>de</strong>. Thus, first one evaluates the error in the polynomial approach.<br />

Figure 6.6 shows the comparison between the experimental volume insi<strong>de</strong> the cylin<strong>de</strong>r<br />

and the corresponding six <strong>de</strong>gree polynomial expression applied up to top <strong>de</strong>ad center<br />

to better fitting. The remaining part is constant and equal to the clearance volume. The<br />

maximum error is about 0.5% (5 cm 3 ).<br />

1200<br />

1000<br />

Experimental<br />

Polynomial<br />

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

Volume (cm 3 )<br />

800<br />

600<br />

400<br />

200<br />

0<br />

180 210 240 270 300 330 360 390 420 450 480 510 540<br />

Crank Angle (<strong>de</strong>grees)<br />

Figure 6.6 – In-cylin<strong>de</strong>r volume polynomial fitting: single compression downdraft syngas case,<br />

ignition timing at 12.5 ms BTDC.<br />

Figure 6.7 shows in-cylin<strong>de</strong>r volume variation during compression and expansion and<br />

the corresponding six <strong>de</strong>gree polynomial. The maximum error is 1.5% (15 cm 3 )<br />

obtained at TDC.<br />

183

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