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proportional to jg2. This difference arises from the inclusion of the inter-
action between the liquid film and gas core flow in the present model.
In Fig. 3, the data of Wicks and Dukler [29,30] for Ref > 7500 (liquid
flowrate > 4000 lb/hr) are excluded because in these regions the liquid bridge
extends across the channel width according to the authors. Tatterson et al.
[33] measured droplet size distributions in an air-water annular flow in a
horizontal rectangular channel. But their data show that volume median di-
ameter increases with increasing gas flux. The mechanism of droplet formation
should be quite different in this case:- One possibility is that the entrain-
ment at the inlet has been the main mechanism of droplet generation. In view
of these, theif data were not used in the present analysis.
Comparing Eqs. (25) and (26), one obtains
400 ai c
a. iw
The order of
as follows.
lar to a pipe
in view w of the co rrelation of
facial area ratio atio can be calculated
Equation
a. '- = 0 .11
a.
1w
as large as the i interfacial area ea of the wave crests. Physically this indicates
that the wave len length is rather long in c comparison with the film thickness.
Now that vol volume median diameters ameters are correlated by Eq. (26), it is ex-
pected that at et size distribution
lar dimensionless sionless groups as used ed in Eq. Figures 4 through 13 show drop-
let size
Here the
i
X=
1.13'00.005C
C g 2C w
magnitude of the interfacial area ratio a./acan
1w
be estimated
If he internal flow low within the wave crest is laminar and simi-
flow, then C-
lies the interfacial rfacial area of wave region is about ten times
distributions in We/X
parameter X is given by
1= 0.028 .(29)
e2/3 (Pg\i1_l/3 ug 2/3
g Pf of 3
'he value of C g is approximately 300 or less
Wallis [24]. Using these values, the inter-
from Eq. (29) as
(30)
n be correlated in terms of the simi-
olume fraction oversize, A, plot.
165
(31)