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Foam Fractionation
book

Foam Fractionation

by Paul Stevenson, Xueliang Li
February 2014
Intermediate to advanced content levelIntermediate to advanced
206 pages
7h 3m
English
CRC Press
Content preview from Foam Fractionation
81Hydrodynamics of Bubble Swarms
()
4
23
=
µρ−ρ
ρσ
M
g
fg
f
(5.12)
which, in conjunction with a denition of a Eötvös number, allows the
terminal velocity to be very approximately estimated via Re
. However, for
a more reliable method of estimating the terminal velocity, across a range of
parameters, Wallis (1974) correlated a dimensionless bubble radius:
*
2
2
1/3
=
ρ
µ
rr
g
b
f
(5.13)
with a dimensionless terminal velocity:
VV
g
f
*
1/3
=
µ
ρ
(5.14)
A dimensionless group, as follows, is used to include a dependency on the
surface tension:
P
g
f
3
4
=
σρ
µ
(5.15)
Wallis suggested a number of dimensionless expressions based on P, r
*
, V
*
and the group:
2
=
ρ
σ
B
gr
bf
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Publisher Resources

ISBN: 9781466558519