KURENAI : Kyoto University Research Information Repository

f
Figures 8 through 12 show the comparison of the entrainment rate
obtained from the experimental data of Cousins et al. [18] and Gill et al.
[17] with those predicted by Eq. (44). In the ranges of Ref from 273 to 5041,
We from 1414 to 9602, and diameter from 0.0095 m to 0.032 m, most of the data
fall within ± 40% of Eq. (44) or (47).
Now that entrainment rate correlation Eq. (44) is obtained, one can
calculate entrainment amount by integrating rate equation which is given by
Substituting
And
This
aE_ 4 (E• -d)-(53)
az Dpfjf __
Eqs . (17) and (47)
a(z----------/D)= 4.80 x 103 Ref
+ 2.64 x 10-6
- 0 .088
for Reff < Re ff-
Ref
Ref
-1 .5
-0 .26
into
Re
ff.
-0.26(Lig
0.26 _ l -
a(z----------/D) - 2.64 x 10-6 Ref-0.26 Reff
- 0.088
equation can
fof
-0 .26 Re
of
be rewritten in
Re
0.26
terms
a(z/D) - 2.87 x 10-9Ref0.5 Re
+'2.64 x 10-6Ref-0.
075
ffm
Eq. (53), one obtains for Reff > Reff .
-0 .25 W e-1.5 (Reff - Reff~)2
0.185 W e0.9250.26 ffof
Reff 0.74
Ref
0.185 We0.9250.26
1 -
Reff 0.74
Ref
of
of E as follows. For E/E m< 1
0.25 We 1 E 2
We0.925 (1- E)085 (.)0.26
210
(54)
(55)