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the coking properties of coal at elevated pressures. - Argonne ...

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$<br />

m.<br />

1<br />

Results and Discussion<br />

Evalu<strong>at</strong>ion <strong>of</strong> m/mi-<br />

1.5<br />

0.1813<br />

0.9033<br />

0.3m<br />

3mm<br />

5gm<br />

Table 2<br />

Particle size d<strong>at</strong>a<br />

b=11.12 b=625<br />

4<br />

0.1813m<br />

0.9064<br />

0.3m<br />

3m<br />

5gm<br />

4<br />

0.0906m<br />

0.9064<br />

0.3m<br />

To demonstr<strong>at</strong>e <strong>the</strong> type <strong>of</strong> results to be expected from <strong>the</strong> <strong>the</strong>ory<br />

equ<strong>at</strong>ion 25) was numerically integr<strong>at</strong>ed to give values <strong>of</strong> m/m. for increasing<br />

values <strong>of</strong> Y using <strong>the</strong> values <strong>of</strong> kl and k2 indic<strong>at</strong>ed in Table and <strong>the</strong><br />

distributions in Table 2.<br />

diffusional and chemical cases were calcul<strong>at</strong>ed using a method similar to th<strong>at</strong><br />

described by Leesley and Siddall (9) for pulverised fuel. Figures 1, 2 and<br />

3 show <strong>the</strong> vari<strong>at</strong>ion <strong>of</strong> m/mi, <strong>the</strong> unburnt fraction <strong>of</strong> carbon remaining, with<br />

<strong>the</strong> dimensionless particle diameter Y for <strong>the</strong> three original distributions.<br />

In every case <strong>the</strong> combined curve mC+D/m; falls inside <strong>the</strong> envelope <strong>of</strong> <strong>the</strong> two<br />

extreme conditions <strong>of</strong> pure diffusional (mD/mi) and <strong>of</strong> pure chemical (mc/m;).<br />

The curves represented in <strong>the</strong>se figures (1,2, and 3) are not burnaway r<strong>at</strong>es<br />

but indic<strong>at</strong>e <strong>the</strong> changing particle size distribution as <strong>the</strong> b<strong>at</strong>ch disappears.<br />

For example, in figure I, when 50% <strong>of</strong> <strong>the</strong> b<strong>at</strong>ch has burnt away (i.e. m/mi = 0.5)<br />

<strong>the</strong> combined case requires th<strong>at</strong> all particles <strong>of</strong> a size below 18% <strong>of</strong> <strong>the</strong><br />

maximum particle size in <strong>the</strong> original b<strong>at</strong>ch must have disappeared.<br />

values for <strong>the</strong> pure diffusion case and pure chemical case are 34% and 12% respect-<br />

ively. Thus for a given carbon loading <strong>the</strong> carbon particle size distribution<br />

in <strong>the</strong> bed will be different for different combustion mechanisms and this will<br />

obviously influence important phenomena such as elutri<strong>at</strong>ion, and NO reduction<br />

by char. To cambine Figures 1 to 3 for comparison purposes <strong>the</strong> d<strong>at</strong>a have been<br />

represented in Figure 4 as a r<strong>at</strong>io <strong>of</strong> unburnt fraction for <strong>the</strong> combined case (m<br />

C+D)<br />

to th<strong>at</strong> for <strong>the</strong> diffusion case (%) as a function <strong>of</strong> <strong>the</strong> particle diameter<br />

Y. It is clearly seen th<strong>at</strong> as <strong>the</strong> original size distribution moves from a wide<br />

one (n=1.5, b=11.12) to a fine one (n=4.0, b=10,000) <strong>the</strong> difference between<br />

mC+D and % increases<br />

Evalu<strong>at</strong>ion <strong>of</strong> t<br />

3mm<br />

5 gm<br />

For comparison <strong>the</strong> values <strong>of</strong> m/m; for <strong>the</strong> pure<br />

Corresponding<br />

The burnawayr<strong>at</strong>es<strong>of</strong> <strong>the</strong> b<strong>at</strong>ch for each original size distribution and for a<br />

combustion mechanism where both diffsuion and chemical kinetics are acting<br />

simoultaneouslywere calcul<strong>at</strong>ed from equ<strong>at</strong>ion 26) and are shown in Figure 5. The<br />

burnaway r<strong>at</strong>e is higher for <strong>the</strong> distribution represented by n=4.0, b=10,000<br />

than for <strong>the</strong> o<strong>the</strong>r two distributions as would be expected. Wh<strong>at</strong> is not evident<br />

301

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