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

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Experimental and numerical <strong>la</strong>minar syngas <strong>combustion</strong><br />

Pe<br />

b<br />

δ<br />

35<br />

0<br />

ρ SC<br />

q<br />

−006<br />

.<br />

= = . P<br />

(4.19)<br />

λ<br />

b u u pb<br />

Where Pe b is the Peclet number and P the pressure in MPa. This corre<strong>la</strong>tion was<br />

obtained for stoichiometric methane-air and methanol-air mixtures for pressures 1-40<br />

atm. Recently Boust, (2006) shows that this corre<strong>la</strong>tion is also valid for lean (φ=0.7)<br />

methane-air mixtures and stoichiometric hydrogen-air mixtures. For these reasons, we<br />

shall use corre<strong>la</strong>tion (4.19) for syngas-air mixtures.<br />

4.2.1.2 Chemical equilibrium<br />

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

Gases can have two possible states, burned and unburned. The composition of the<br />

burned gases is calcu<strong>la</strong>ted by the Brinkley method, suggested by Heuzé et al., (1985).<br />

This method is based on the <strong>de</strong>termination of the free energy of Gibbs from the Gordon<br />

& McBri<strong>de</strong>, (1971) polynomials. The chemical equilibrium is calcu<strong>la</strong>ted by canceling the<br />

chemical affinity in the chemical reactions. It appeals to the thermodynamic properties<br />

of the species instead of the equilibrium constants.<br />

The <strong>combustion</strong> products consi<strong>de</strong>red are H 2 O, CO 2 , CO, O 2 , N 2 , NO, OH and H 2 . As<br />

pressure and temperature conditions change during the compression and cooling<br />

phases, is possible to previously recalcu<strong>la</strong>te the composition of burned gases.<br />

4.2.1.3 Heat transfer<br />

A common approach exploiting a combined convective and radiative heat transfer<br />

coefficient has been implemented as representative of heat transfer through the<br />

chamber walls, Q w . The formu<strong>la</strong>tion couples a convective-equivalent heat transfer<br />

coefficient to a radiative term, for taking into account the effects due to high<br />

temperature burned gases:<br />

Qw = Qc + Qr<br />

(4.20)<br />

Where Q c and Q r represents the convective and radiative heat transfer, respectively.<br />

The unburned gases in contact with the wall are heated by compression un<strong>de</strong>r the<br />

effect of expansion f<strong>la</strong>me. Due to the higher temperature of the unburned gases in<br />

comparison with the chamber wall, which is at room temperature, they yield heat by<br />

conduction. This conductive heat transfer is simu<strong>la</strong>ted using a convective mo<strong>de</strong>l<br />

(Boust, 2006).<br />

124

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