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

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Chapter 4<br />

A very good agreement between the corre<strong>la</strong>tion and the experimental burning velocity<br />

is found for every initial pressure test runs performed. Notice that for fluidized bed<br />

syngas the lower initial pressure with successful ignition was 0.8 bar. The maximum<br />

error of the burning velocity corre<strong>la</strong>tion is 8% for updraft syngas, 9% for downdraft<br />

syngas and 5% for fluidized bed syngas. These errors are perfectly reasonable and the<br />

discrepancy between syngas compositions errors has to do with experimental burning<br />

velocity scattering.<br />

4.2. Multi-zone spherical <strong>combustion</strong><br />

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

In an engine cycle, the heat losses could be endorsed 25% to wall-f<strong>la</strong>me interaction<br />

and 75% to the wall-burned gases interaction (Boust, 2006). Therefore, robust heat<br />

transfer mo<strong>de</strong>ls of wall-f<strong>la</strong>me interaction should be employed. A multi-zone numerical<br />

heat transfer simu<strong>la</strong>tion co<strong>de</strong> <strong>de</strong>veloped at the Laboratoire <strong>de</strong> Combustion et<br />

Détonique for methane-air mixtures by Boust, (2006) is adapted herein to syngas-air<br />

mixtures. The co<strong>de</strong> allows simu<strong>la</strong>ting the <strong>combustion</strong> of homogeneous premixed gas<br />

mixtures within constant volume spherical chamber centrally ignited. In spherical<br />

<strong>combustion</strong> conditions, the mo<strong>de</strong>l could also be used for predicting the quenching<br />

distance.<br />

4.2.1 Mathematical mo<strong>de</strong>l<br />

4.2.1.1 F<strong>la</strong>me propagation<br />

The f<strong>la</strong>me is consi<strong>de</strong>red a perfect sphere without thickness. The propagation of the<br />

f<strong>la</strong>me is imposed by its burning velocity that <strong>de</strong>termines the thickness of the zone to<br />

burn during a pre<strong>de</strong>fined time Δt. The <strong>combustion</strong> is supposed isobaric, being the<br />

burning velocity S u given by the empirical corre<strong>la</strong>tion of Metghalchi and Keck, (1980)<br />

expressed by the Eqs. 4.16 - 4.18.<br />

The criterion that <strong>de</strong>fines the end of <strong>combustion</strong> is the f<strong>la</strong>me quenching distance. The<br />

quenching distance <strong>de</strong>fines how close the f<strong>la</strong>me approaches the wall and p<strong>la</strong>ys a<br />

<strong>de</strong>finitive role on the wall-f<strong>la</strong>me interaction as shown by Boust, (2006). The quenching<br />

implementation in the computational co<strong>de</strong> consists of stopping the propagation of the<br />

f<strong>la</strong>me when it approaches the wall in an equal distance to the frontal quenching<br />

distance δ q . In or<strong>de</strong>r to estimate the quenching distance, the corre<strong>la</strong>tion of Westbrook<br />

et al., (1981) is used:<br />

123

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