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14-82 EQUIPMENT FOR DISTILLATION, GAS ABSORPTION, PHASE DISPERSION, AND PHASE SEPARATION<br />
FIG. 14-75 Effect of liquid rate on ultimate capacity at higher liquid rates. (From Stupin, W. J., and H. Z. Kister, Trans. IChemE, vol. 81, Part A, p. 136,<br />
January 2003. Reprinted courtesy of IChemE.)<br />
1965). The data show a constant-slope linear dependence of the system<br />
limit C-factor on the liquid load. There was a shortage of data at<br />
low liquid loads. Later data (Fig. 14-76) showed that as the liquid load<br />
was reduced, the system limit Cs,ult stopped increasing and reached a<br />
limiting value. Based on this observation, Stupin and Kister [Trans.<br />
IChemE 81, Part A, p. 136 (January 2003)] empirically revised the<br />
earlier Stupin/FRI correlation to give<br />
σ<br />
�<br />
∆ρ<br />
C1 = 0.445(1 − F) � � 0.25<br />
σ<br />
�<br />
∆ρ<br />
C 2 = 0.356(1 − F) � � 0.25<br />
− 1.4LS<br />
(14-167)<br />
(14-168)<br />
FIG. 14-76 Comparison of original ultimate capacity correlation to test data,<br />
C 6/C7, 1.66 bar. (From Stupin, W. J., and H. Z. Kister, Trans. IChemE, vol. 81,<br />
Part A, p. 136, January 2003. Reprinted courtesy of IChemE.)<br />
where<br />
Cs,ult = smaller of C1 and C2<br />
(14-169)<br />
1<br />
F = ��<br />
(14-170)<br />
1 + 1.4(∆ρ/ρG) 1/2<br />
In Eqs. (14-167) through (14-170), Cs,ult is the system limit C-factor<br />
based on the tower superficial area [see Eq. (14-77) for C-factor definition];<br />
LS is the liquid superficial velocity, m/s; σ is the surface tension,<br />
mN/m; ∆ρ is the difference between the liquid and gas densities,<br />
kg/m 3 ; and ρG is the gas density, kg/m 3 .<br />
Stupin and Kister (loc. cit.) relate the flattening of the curve in Fig.<br />
14-76 at low liquid loads to the formation of more, smaller, easier-toentrain<br />
liquid drops when the liquid load is lowered beyond the limiting<br />
liquid load. It follows that devices that can restrict the formation of<br />
smaller drops may be able to approach the system limit capacity predicted<br />
by Stupin’s original equation [Eq. (14-167)] even at low liquid<br />
loads.<br />
The only devices capable of debottlenecking a tray system-limit<br />
device are those that introduce a new force that helps disentrain the<br />
vapor space. Devices that use centrifugal force (see “Centrifugal<br />
Force Deentrainment”) are beginning to make inroads into commercial<br />
distillation and have achieved capacities as high as 25 percent<br />
above the system limit. Even the horizontal vapor push (see “Truncated<br />
Downcomers/Forward-Push Trays”) can help settle the<br />
entrained drops, but to a much lesser extent. It is unknown whether<br />
the horizontal push alone can achieve capacities exceeding the system<br />
limit.<br />
WETTED-WALL COLUMNS<br />
Wetted-wall or falling-film columns have found application in masstransfer<br />
problems when high-heat-transfer-rate requirements are<br />
concomitant with the absorption process. Large areas of open surface