The behavior of kerosine droplets in water was studied in bubble columns, 6.6 cm and 12.2 cm in diameter, The longitudinal dispersion coefficients of droplets (E
D) were correlated with Peclet number (
PeD=u
GD
T/E
D) and Froude number (
Fγ = u
G/√gD
T) as the following empirical equation.
PeD=10
Fγ/ (1+6.5
Fγ0.8)
where
uG [cm / sec] is superficial gas velocity, D
T [cm] is column diameter and g [cm/sec
2] is gravitational acceleration.
The longitudinal concentration distributions of droplets were analyzed by using the ascending dispersion model and the following empirical equations were obtained.
ν
ds = 3.4
uG-1.2 / (1+2u) D (1+0.76
uT0.75) (1-C)
4.0 (at D
T = 6.6 and 12.2cm)
1-C / C* = 4.5ν
ds 2uT-0.32 / (1+6.0ν
ds+4.8ν
ds2) (at D
T = 6.6cm)
1-C / C* = 3.2ν
ds2uT-0.16/ (1+6.0ν
ds+3.1ν
ds2) (at D
T = 12.2cm)
where νds [cm / sec] is mean slip velocity of droplets,
uD [cm / sec] is superficial velocity of kerosine,
uT [cm / sec] is superficial velocity of total liquids, C [-] is average concentration of droplets in water and C* [-] is concentration of droplets in feed.
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