60 XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3
ut=0.00046 m/s. The calculated channel velocity is obtained
using Equation 8. That is,
..60
.9397
.U'
3 10 10
1 8 10 4 10
9477 1000
9477 1750 0
0 0179 /s m
3
4
##
###
##
=-
-
=
-6
--4
b l
Each line of calculation in the table produces the
same channel velocity, which is the actual velocity in the
experiment.
The results obtained by Rodrigues et al (2023) are
shown in Figure 4, given by the orange triangles. These data
correspond to an impressive value of m=0.26, hence very
strong gravity separation. The results obtained from the
above analysis are shown by the blue dots. The suspension
Table 3. Run 13 Component balance for flow streams
Basis Feed Fluidization Underflow Overflow
Water, L/min 7.58 0.14 0.27 7.43
Solids, L/min 0.42 0.00 0.13 0.30
Total, L/min 8.00 0.14 0.41 7.73
Water, kg/min 7.58 0.14 0.27 7.43
Solids, kg/min 1.55 0.00 0.64 0.91
Total, kg/min 9.13 0.14 0.91 8.35
Table 4. Summary of parameter values for Run 13 based on n=5, U′=0.0179 m/s,
r
susp =1750 kgm–3, m=0.001 Nsm–2
d,
mm
D50,
kgm–3
ut,
m/s
f
-
U',
m/s
10 9477 0.00046 0.690 0.0179
30 5313 0.00205 0.466 0.0179
50 4417 0.00428 0.371 0.0179
70 4012 0.00699 0.318 0.0179
90 3781 0.01005 0.284 0.0179
110 3630 0.01337 0.261 0.0179
130 3526 0.01689 0.244 0.0179
150 3449 0.02056 0.232 0.0179
0
2000
4000
6000
8000
10000
0 20 40 60 80 100 120 140
Particle Diameter (m)
Figure 4. Variation in the separation density, D50, with the particle diameter. The results
for Run 13 of Rodrigues et al (2023) are denoted by the orange triangles. The results
calculated in this study are given by the blue circles based on an assumed suspension
density of 1750 kgm–3. The lower result given by the grey circles is based on the dilute
condition, with a suspension density of 1000 kgm–3
Separation
Density
(kgm-3)
ut=0.00046 m/s. The calculated channel velocity is obtained
using Equation 8. That is,
..60
.9397
.U'
3 10 10
1 8 10 4 10
9477 1000
9477 1750 0
0 0179 /s m
3
4
##
###
##
=-
-
=
-6
--4
b l
Each line of calculation in the table produces the
same channel velocity, which is the actual velocity in the
experiment.
The results obtained by Rodrigues et al (2023) are
shown in Figure 4, given by the orange triangles. These data
correspond to an impressive value of m=0.26, hence very
strong gravity separation. The results obtained from the
above analysis are shown by the blue dots. The suspension
Table 3. Run 13 Component balance for flow streams
Basis Feed Fluidization Underflow Overflow
Water, L/min 7.58 0.14 0.27 7.43
Solids, L/min 0.42 0.00 0.13 0.30
Total, L/min 8.00 0.14 0.41 7.73
Water, kg/min 7.58 0.14 0.27 7.43
Solids, kg/min 1.55 0.00 0.64 0.91
Total, kg/min 9.13 0.14 0.91 8.35
Table 4. Summary of parameter values for Run 13 based on n=5, U′=0.0179 m/s,
r
susp =1750 kgm–3, m=0.001 Nsm–2
d,
mm
D50,
kgm–3
ut,
m/s
f
-
U',
m/s
10 9477 0.00046 0.690 0.0179
30 5313 0.00205 0.466 0.0179
50 4417 0.00428 0.371 0.0179
70 4012 0.00699 0.318 0.0179
90 3781 0.01005 0.284 0.0179
110 3630 0.01337 0.261 0.0179
130 3526 0.01689 0.244 0.0179
150 3449 0.02056 0.232 0.0179
0
2000
4000
6000
8000
10000
0 20 40 60 80 100 120 140
Particle Diameter (m)
Figure 4. Variation in the separation density, D50, with the particle diameter. The results
for Run 13 of Rodrigues et al (2023) are denoted by the orange triangles. The results
calculated in this study are given by the blue circles based on an assumed suspension
density of 1750 kgm–3. The lower result given by the grey circles is based on the dilute
condition, with a suspension density of 1000 kgm–3
Separation
Density
(kgm-3)