Packed Bed flooding.pdf - Youngstown State University's Personal ...
Packed Bed flooding.pdf - Youngstown State University's Personal ...
Packed Bed flooding.pdf - Youngstown State University's Personal ...
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14-70 EQUIPMENT FOR DISTILLATION, GAS ABSORPTION, PHASE DISPERSION, AND PHASE SEPARATION<br />
FIG. 14-65 Parallel-columns model. (From Lockett and Billingham, Trans.<br />
IChemE 80, Part A, p. 373, May 2002; reprinted courtesy of IChemE.)<br />
without lateral mixing. Because of the different L/V ratios, the overall<br />
separation is less than is obtained at uniform distribution. A typical<br />
calculated result (Fig. 14-66) shows the effective number of stages<br />
from the combined two-column system decreasing as the maldistribution<br />
fraction f increases. Figure 14-66a shows that the decrease is minimal<br />
in short beds (e.g., 10 theoretical stages) or when the<br />
maldistribution fraction is small. Figure 14-66a shows that there is a<br />
limiting fraction f max which characterizes the maximum maldistribution<br />
that still permits achieving the required separation. Physically, f max<br />
represents the maldistribution fraction at which one of the two parallel<br />
columns in the model becomes pinched. Figure 14-66b highlights<br />
the steep drop in packing efficiency upon the onset of this pinch.<br />
Billingham and Lockett derived the following equation for f max in a<br />
binary system:<br />
yN + 1 − yN<br />
��<br />
x1 − xo<br />
�<br />
xN + 1 − xo<br />
yN + 1 − yN<br />
��<br />
x1 − xo<br />
�<br />
xN + 1 − xo<br />
f max = + − � �� � (14-162)<br />
yN − yo<br />
yN − yo<br />
This equation can be used to calculate fmax directly without the need<br />
for a parallel column model. Billingham and Lockett show that the<br />
various terms in Eq. (14-162) can be readily calculated from the output<br />
of a steady-state computer simulation. Multicomponent systems<br />
are represented as binary mixtures, either by lumping components<br />
together to form a binary mixture of pseudolight and pseudoheavy<br />
components, or by normalizing the mole fractions of the two key components.<br />
Once fmax is calculated, Billingham and Lockett propose the<br />
following guidelines:<br />
• fmax