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

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\<br />

- + 1)<br />

x. =<br />

1<br />

bL/n<br />

YO<br />

Defining dimensionless parameters X = 3 and Y = <strong>the</strong>n from equ<strong>at</strong>ion<br />

22) we get X. X.<br />

JI(Xi'X) =<br />

where a = [ (+ +1d<br />

na3-l exp (-ax")<br />

exp(-aXln) -exp(-aXZn)<br />

Substitution <strong>of</strong> @(x.,x) from equ<strong>at</strong>ion 24) into equ<strong>at</strong>ion 11) and making o<strong>the</strong>r<br />

appropri<strong>at</strong>e terms dimensionless gives<br />

where<br />

F (x X,Y) =<br />

2 i'<br />

N = exp(-aXln) - exp(-ax n, and Z = 2<br />

2<br />

X.<br />

The lower limit <strong>of</strong> integr<strong>at</strong>ion in equ<strong>at</strong>ion 25) is given by<br />

Z = X ifY,cX<br />

1<br />

1<br />

and<br />

2 = Y ifY>X1<br />

Similarly equ<strong>at</strong>ion 20) for <strong>the</strong> burn-out time, becomes<br />

t =<br />

mi (l-mhi) w(xi - 2Y 2 ) sp(Xiy)<br />

128Cokl +-<br />

+ F(Uo)Co 64C0 k2<br />

and equ<strong>at</strong>ion 15), <strong>the</strong> particul<strong>at</strong>e phase oxygen concentr<strong>at</strong>ion, becomes<br />

1<br />

P F(Uo) np<br />

where<br />

= co[ I -<br />

i<br />

x2 -<br />

192klmi fF3(xi ,X,Y) d<br />

2<br />

299<br />

2 7)

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