Environmental Engineering Reference
In-Depth Information
100
99,99 % deposition
99,9 % deposition
10
1
C
R
T
=
−
ln
λ
C
0
1
90 % deposition
37 % deposition
0,1
0,1
1
10
100
Filtration Factor [1/m]
Figure 4.17
Relation between fi ltration factor and travel distance for a given deposition rate.
media are single spherical collectors surrounded by an imaginary fl uid sphere. The
fl uid envelope contains the same amount of water as the relative volume of fl uid
to the collector in the entire porous media. Colloids can be transported to the
imaginary single collector by different mechanisms, each with a single fi ltration/
deposition effi ciency (
γ
) (Tufenkji and Elimelech, 2004):
31
2
(
−
n
)
γ
α
γ
(
filtration factor in a porous media
)
(4.16)
λ
=
=
α
d
d
k
k
with
=+++ (
)
γγ γ γ γ
single collector filtration efficiency
(4.17)
DI
GS
and
2
3
kT
ddv
B
(
)
γ
=
09
,
A
filtration by diffusion
(4.18)
D
S
µ
pkf
1
8
15
8
4
A
dv
d
d
H
p
γ
=
A
(
filtration by interception
)
(4.19)
I
S
9
πµ
2
pf
k
12
,
04
,
(
)
2
ρρ
µ
−
gd
d
d
PW p
k
(
)
(4.20)
γ
=
0 00338
,
A
filtration by sedimentation
G
S
18
v
f
p
3
2
d
d
filtration by sieving
(4.21)
p
γ
=
27
,
(
)
S
k
with
(
)
1
−
y
5
(4.22)
1
3
.
(
)
(
)
A
=
and
y
=−
1
n
Happel parameter
(
)
S
3
2
3
2
1
−
y
+
y
5
+
y
6
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