XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3 1151
3) are valid to predict the responses within the range of the
variables selected. Further the model equations were opti-
mized using quadratic programming of the mathematical
software package Minitab 16. to maximize the grade and
recovery of the concentrate fraction. Any deviation from
the operating range of the process variable such as beyond
the higher/lower level would affect the performance of the
MGS operation. Keeping this constraint, optimization of
the MGS process variables for maximum grade and recov-
ery of Fe in the concentrate fraction was obtained using
quadratic programming of the mathematical software pack-
age Minitab 16.
i. Maximum grade of 62.21% of Fe of concentrate
fraction can be achieved by optimizing the process
variables at
– Angle of inclination of drum: 4.3 degrees
– Wash Water :2.7LPM
– Speed of the drum :198RPM
ii. Maximum recovery of 65.37% Fe of concentrate
fraction can be achieved by optimizing the process
variables at
– Angle of inclination of drum: 4.1 degrees
– Wash Water :2.6LPM
– Speed of the drum :225RPM
It was desired to investigate the behavior of the multi grav-
ity separator concentrator to the simultaneously changing
operating parameters utilizing the aforementioned empiri-
cal model equations and discussed further.
Effect of Process Variables on Grade (%Fe) of
Concentrate Fraction
From Eq. 2, it is noted that drum rotational speed, wash
water, and the square of the angle of inclination significantly
affect the concentrate fraction’s grade. Among interactional
effects, the combination of angle of inclination and wash
water notably impacts the grade (%Fe), while other fac-
tors have minimal influence. Empirical models were used
to illustrate the effect of each variable on the concentrate
fraction’s grade, as shown in Figure 5.
Higher grade is achieved at a lower angle of inclination
(3 degrees) with 6 LPM wash water and at 4 degrees with
2 LPM wash water. As wash water and drum inclination
Table 7. Comparative data at random experimental conditions for validation purpose
Test
No.
Condition Grade (%Fe) Recovery (Wt%)
X1 X2 X3 Actual Predicted Error Actual Predicted Error
1 –1 –1 –1 59.00 60.54 2.61 19.10 18.53 2.98
2 –1 0 0 60.00 58.39 2.68 41.00 40.12 2.15
3 1 0 0 61.20 58.17 4.95 49.40 48.00 2.83
4 1 1 1 54.00 55.66 3.07 66.00 64.09 2.89
5 –1 1 –1 62.00 64.00 3.23 10.40 9.75 6.25
-10.00
-5.00
0.00
5.00
10.00
15.00
45.00 50.00 55.00 60.00 65.00
Predicted Grade and Recovery Values
Grade Residual
Recovery Residual
Figure 3. Residual plots for predicted grade and recovery values
Residuals
3) are valid to predict the responses within the range of the
variables selected. Further the model equations were opti-
mized using quadratic programming of the mathematical
software package Minitab 16. to maximize the grade and
recovery of the concentrate fraction. Any deviation from
the operating range of the process variable such as beyond
the higher/lower level would affect the performance of the
MGS operation. Keeping this constraint, optimization of
the MGS process variables for maximum grade and recov-
ery of Fe in the concentrate fraction was obtained using
quadratic programming of the mathematical software pack-
age Minitab 16.
i. Maximum grade of 62.21% of Fe of concentrate
fraction can be achieved by optimizing the process
variables at
– Angle of inclination of drum: 4.3 degrees
– Wash Water :2.7LPM
– Speed of the drum :198RPM
ii. Maximum recovery of 65.37% Fe of concentrate
fraction can be achieved by optimizing the process
variables at
– Angle of inclination of drum: 4.1 degrees
– Wash Water :2.6LPM
– Speed of the drum :225RPM
It was desired to investigate the behavior of the multi grav-
ity separator concentrator to the simultaneously changing
operating parameters utilizing the aforementioned empiri-
cal model equations and discussed further.
Effect of Process Variables on Grade (%Fe) of
Concentrate Fraction
From Eq. 2, it is noted that drum rotational speed, wash
water, and the square of the angle of inclination significantly
affect the concentrate fraction’s grade. Among interactional
effects, the combination of angle of inclination and wash
water notably impacts the grade (%Fe), while other fac-
tors have minimal influence. Empirical models were used
to illustrate the effect of each variable on the concentrate
fraction’s grade, as shown in Figure 5.
Higher grade is achieved at a lower angle of inclination
(3 degrees) with 6 LPM wash water and at 4 degrees with
2 LPM wash water. As wash water and drum inclination
Table 7. Comparative data at random experimental conditions for validation purpose
Test
No.
Condition Grade (%Fe) Recovery (Wt%)
X1 X2 X3 Actual Predicted Error Actual Predicted Error
1 –1 –1 –1 59.00 60.54 2.61 19.10 18.53 2.98
2 –1 0 0 60.00 58.39 2.68 41.00 40.12 2.15
3 1 0 0 61.20 58.17 4.95 49.40 48.00 2.83
4 1 1 1 54.00 55.66 3.07 66.00 64.09 2.89
5 –1 1 –1 62.00 64.00 3.23 10.40 9.75 6.25
-10.00
-5.00
0.00
5.00
10.00
15.00
45.00 50.00 55.00 60.00 65.00
Predicted Grade and Recovery Values
Grade Residual
Recovery Residual
Figure 3. Residual plots for predicted grade and recovery values
Residuals