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Packed Bed flooding.pdf - Youngstown State University's Personal ...

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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

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