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MODELING CHAR OXIDATION AS A FUNCTION OF PRESSURE ...

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List of Figures<br />

Figure 2.1. Rate-controlling zones for heterogeneous char oxidation………………….6<br />

Figure 2.2. The effectiveness factor curves for first order and zeroth order reactions<br />

in Cartesian Coordinates..………………………………………………. 19<br />

Figure 4.1. The effectiveness factor curves for first order and zeroth order reactions<br />

in Cartesian Coordinates………………………………………………… 28<br />

Figure 4.2. Effectiveness factor curves for first order and zeroth order reactions in<br />

spherical coordinates……………………………………………………..34<br />

Figure 4.3. The correction function f c plotted as a function of both the general<br />

modulus (M T ) and the observed reaction order in Zone I (m obs )………….38<br />

Figure 5.1. The relationship between KC s and the observed reaction order (n obs ) as<br />

predicted by Eq. (5.13)………..…………………………………………50<br />

Figure 5.2. Illustration of how internal combustion can decrease the particle<br />

diameter………………..……………………………………………….. 60<br />

Figure 7.1. Comparison of predictions of carbon reactivity with graphite flake data<br />

(Ranish and Walker, 1993) obtained as a function of P O2 and T p ………..89<br />

Figure 7.2. Schematic of a pore connected to the surface of a char particle…………..93<br />

Figure 7.3. Schematic of High Pressure Controlled-Profile (HPCP) drop-tube<br />

reactor…………………………………………………………………… 97<br />

Figure 7.4. Comparison of the HP-CBK predictions of reaction rate with large<br />

coal char particle data (Mathias, 1992) as a function of a) V g, b) P O2<br />

(P tot = 0.85 atm), c) P tot (x O2 = 21%), d) P tot (P O2 = 0.18 atm), e) d p,<br />

f) T g…………..…………………………………………………………103<br />

Figure 7.5. The gas temperature profiles for different total pressures……………….108<br />

Figure 7.6. Comparison of HP-CBK predictions of carbon burnouts with<br />

pulverized coal char data (Monson, 1992) at total pressures of 1, 5,<br />

and 10 atm………………………………………………………………110<br />

Figure 7.7. Comparison of HP-CBK predictions of carbon burnouts with<br />

pulverized coal char data (Monson, 1992) at a total pressure of 15 atm.. 110<br />

Figure A.1. Schematic of the flat-flame burner and the particle collection and<br />

separation system……………….………………………………………144<br />

xi

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