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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