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MODELING CHAR OXIDATION AS A FUNCTION OF PRESSURE ...

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too complicated for practical use and therefore are seldom used. Several continuum,<br />

microscopic models were reviewed by Smith et al. (1994).<br />

Stoichiometry of the Carbon-Oxygen Reaction<br />

CO and CO 2 are two possible products of char oxidation. The overall reactions<br />

leading to these two products are, respectively,<br />

C + O 2 → CO 2 + ΔH 1<br />

C + 1<br />

2 O 2 → CO + ΔH 2<br />

9<br />

(2.1)<br />

(2.2)<br />

where H 1 and H 2 are the heats of reaction for Reactions 2.1 and 2.2. If the fraction of<br />

carbon converted to CO 2 is denoted as , the overall carbon-oxygen reaction can be<br />

expressed as<br />

1 +<br />

C +<br />

2 O2 → CO2 + (1 − )CO + ΔH1 + (1 − )ΔH 2 (2.3)<br />

The stoichiometric coefficient of oxygen in the above equation is denoted as o . That is,<br />

o<br />

= 1+<br />

2<br />

(2.4)<br />

The fraction of carbon converted to CO 2 ( ) is often calculated from the CO/CO 2 product<br />

ratio, which is often empirically correlated with an Arrhenius equation (Arthur, 1951;<br />

Tognotti et al., 1990; Mitchell et al., 1992):<br />

CO<br />

CO 2<br />

= 1 −<br />

= Ac exp(− Ec ) (2.5)<br />

RTP The stoichiometric coefficient of oxygen represents a major uncertainty in modeling char<br />

oxidation.

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