Chemical Process Design
Chemical Process Design
Chemical Process Design
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SHORT CUT for DISTILLATION COLUMS SIZING<br />
Fenske's equation applies to any two components lk and hk at infinite reflux and is<br />
defined by N min , where αij is the geometric mean of the α's at the T of the feed,<br />
distillate and the bottoms.<br />
( α )<br />
lk / hk<br />
R min is given by Underwood with two equations that must be solved, where q is<br />
the liquid fraction in the feed..<br />
Gilliland used an empirical correlation to<br />
calculate the final number of stage N from<br />
the values calculated through the Fenske<br />
and Underwood equations (N min , R, R min ).<br />
The procedure use a diagram; one enters<br />
with the abscissa value known, and read<br />
the ordinate of the corresponding point on<br />
the Gilliland curve. The only unknown of<br />
the ordinate is the number of stage N.<br />
⎛ x Dlk / x ⎞ Blk<br />
log ⎜⎜<br />
x Dhk / x ⎟⎟<br />
Bhk<br />
N min =<br />
⎝<br />
⎠<br />
α lk / hk = D lk / hk F lk / hkα<br />
log<br />
( ) 3 / 1<br />
α α<br />
B lk / hk<br />
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