Environmental Engineering Reference
In-Depth Information
Ore hardness is assumed to be transported through the mill as
(
)
(
)
d
γ
t
f
t
=
)
(
γ
f
(
t
)−
γ
(
t
)).
(5.25)
dt
H
m
(
t
5.4.3 Hydrocyclone
A hydrocyclone is modeled as a system with negligible dynamics, since its resi-
dence time is much smaller than mills and sumps. The model equations used in the
simulator correspond to the Lynch and Rao empirical model [11]. The input and
output variables are defined as in Figure 5.8.
feed
f
q
f
f
γ
f
Flowrate
Water flowrate
Size distribution
Hardness
overflow
Flowrate
Water flowrate
Size distribution
Hardness
f
o
q
o
f
o
γ
f
underflow
p
u
q
u
p
u
γ
f
Flowrate
Water flowrate
Size distribution
Hardness
Figure 5.8
A hydrocyclone
The model describes water flowrates in the overflow and cut size as a function of
cyclone parameters and operational conditions:
=(
−
)
.
p
u
I
C
f
(5.26)
The efficiency curve is given by
e
α
x
i
E
(
x
i
)=
2
,
(5.27)
e
α
x
i
+
e
α
−
where
x
i
d
50
, αis a parameter, and
d
50
is parameterized in terms of operational
variables and parameters of the hydrocyclone:
=
x
i
/
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