1224 VAPOR AND GASEOUS POLLUTANT FUNDAMENTALS
The design of absorbers involves the estimation of
column diameter, height, and pressure drop. The column
diameter is fixed by the contaminated gas flow rate. The
determination of the height of the two-phase contacting zone
involves an estimation of the mass transfer coefficients, the
alternating use of equilibrium concentration relationship,
and the law of mass conservation. For nonisothermal or adi-
abatic operating conditions, the law of energy conservation
needs to be considered. There are many types of equipment
and configurations for absorbers or scrubbers. For example,
McCarthy (1980) discussed the scrubber types and selec-
tion criteria.
For packed towers the interfacial area, a, differs from
the packing surface area, aT, because the packing is not
always completely wetted. A fraction of the surface may
not be active in mass transfer. Also, stagnant pockets will
be less effective than flowing streams. The correlation of
Onda et al. (1968) may be used to estimate the value of
interfacial area.
a
a
L
a
L a
g
c L
L
t
L
1
75
1
(^12)
2
(^52)
1
1 4 5
exp
.
...
s
s m r
rr sL ta
.2
Where sc represents the critical surface tension above
which the packing can’t be wetted. The values of sc for
various packing materials are shown in Table 4 (Onda
et al., 1967)
L : the superficial liquid mass
flow rate
PL, mL : density and viscosity of the
liquid, respectively
s : surface tension of the liquid,
dynes/cm.
This equation correlates results with a maximum error of
20% except in the case of Pall rings where it is conserva-
tive. The reason is probably that the interfacial and wetted
area are different for Pall rings whose shape forces a frac-
tion of the liquid phase to be dispersed in small droplets
that are not accounted for in the values of a. Values of a
Pall rings are underestimated about 50% according to
Charpentier (1976).
The liquid phase mass transfer coefficient can be esti-
mated using Mohunta’s equation (1969).
k a
g
a
g
g
L
L
t L
L
L
L t
L
25 10^4
(^662111) 3 3
2 4
r
m
r
m
m
r
..
L a
.
.
25
5
m
r
L
L LD
within a range of 20%.
The range of variables and physical properties of
Mohunta’s equation are:
Variables Range
L 0.1–42 kg/m^2 sec
G 0.015–1.22 kg/m^2 sec
mL 0.7–1.5 CP
mL/rLDL 140–1030
d 0.6–5 cm
D (column) 6–50 cm
where G : superficial gas mass flow rate
DL : liquid diffusivity
d : packing diameter.
For the gas phase mass transfer coefficient, Laurent and
Charpentier (1974) derived the correlation
k P
G
C
M
a d
D
g
t
G
G G
( ).
..
1 7
3 5
Gd
mG
m
r
where P : total pressure, atm
M : gas molecular weight
DG : solute gas diffusively
C 2.3 for d , 1.5 cm
C 5.23 for d 1.5 cm.
Tray type towers have also been used successfully.
Bubble cap plates correlations have been proposed by
Andrew (1961)
k u S D
k u S D
a u
g g
l l
7
11
0 7
1 4 1 2 1 2
1 4 1 2 1 2
1 2
/ / /
/ / /
/
cm/sec
cm/sec
. SS5 6/
TABLE 4
Critical surface tension of packing materials
Material sc dynes/cm
Carbon 56
Ceramic 61
Glass 73
Paraffin 20
Polyethylene 33
Polyvinylchloride 40
Steel 75
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