Raw Materials Granulometry: Sampling Point
A B C1 C2 C3
Mill Feed
Lime Limest ston one e Cla Clay Mix. Mix. Iron Ore Additive Silica Sand
82.0 82.00% 0% 17.3 17.37% 7% 0.43% 0.20%
Sieve [mm] 25 6 4. 4 1 2. 1 0. 0 7. 8 0. 0
%Retained
54.9
100.0%
12.5 90. 7 21. 6 0 .9 58 . 5 0 .0
9.5 94. 6 26. 1 2. 1 67 . 7 0. 0
4.75 9 8. 1 3 8. 7 8. 0 75 . 6 0. 3
2.36 99 . 1 52 . 6 2 1. 1 8 0. 7 0.7
1.18 99 . 5 64 . 3 4 1. 9 8 5. 2 6. 3
78.2
82.2
87.3
90.7
93.1
K 335 335 335
Ψ [%] 74 74 74
Du [ [m m] 4.44 4.44 4.44
Ømax [mm] 96.9 55.2 30.6
Max. Ball Size Calculation: Limestone Mix Iron Ore
d80 [µm] 40000 15000 2300
ρ [g/cm3] W i [kwh/t] 1.3 10.18 1.5 7.1 2.5 12.13
d80 [µm] Mesh: size of the sieveing where 80% of material is Passing ρ [g/cm3] density of material W i [kwh/t] Work Index K Factor Factor (335 (335 fo forr dry dry grin grindin ding g (OC (OC or or CC), CC), 350 for wet wet grin grindin ding) g) Ψ [%] % of Critical Speed (mill) Du [m] Effective Di of the mill Ømax [mm] Maximum Ball size
Ball Charge Distribution: From
to
Limestone Granulometry
Material:
EB
d180:
d280:
WB:
Energy
%Passing
d280:
WB:
Energy
Diam
ton
Limestone
10.18
40 20 8 4
20 8 4 2.5
6.7 13.2 14.9 13.5 48.3
13.8% 27.4% 30.9% 27.9% 100.0%
45.1% 17.8% 12.7% 9.3%
20 8 4 2.5
3.01 2.35 1.89 1.25
35.3% 27.7% 22.3% 14.7% 100%
100 - 90 90 - 80 80 - 60 70 - 50
39.6 31.0 24.9 16.5 112.0
Ball Charge Design Based On Slegten Method
Steel dens = !st Compt Bulk Density
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7843
4500
kg/m3 kg/m3
Ball Dia,mm 90 80 70 60 50 40 30 25 20 16
Vol,mm3 381,703.51 268,082.57 179,594.38 113,097.34 65,449.85 33,510.32 14,137.17 8,181.23 4,188.79 2,144.66
vol,m3 3.82E-04 2.68E-04 1.80E-04 1.13E-04 6.54E-05 3.35E-05 1.41E-05 8.18E-06 4.19E-06 2.14E-06
1st compt length 1st compt effective dia.
3 3.7
m m
(Use 7843 if not known) (Use 4500 if not known) bulk Density kg/ball kg/m3 2.99 4,579.60 2.10 4,608.11 1.41 4,640.42 0.89 4,677.73 0.51 4,721.85 0.26 4,775.85 0.11 4,845.48 0.06 4,889.60 0.03 4,943.60 0.02 4,997.61
Std Size 3.5 3 2.75 2.5 2 1.5 1.25 1 0.75 0.625
Ball Charge Design Based On Slegten Method
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Steel dens = !st Compt Bulk Density
4500
kg/m3 kg/m3
Ball Dia,mm 90 80 70 60 50 40 30 25 20 16
Vol,mm3 381,703.51 268,082.57 179,594.38 113,097.34 65,449.85 33,510.32 14,137.17 8,181.23 4,188.79 2,144.66
vol,m3 3.82E-04 2.68E-04 1.80E-04 1.13E-04 6.54E-05 3.35E-05 1.41E-05 8.18E-06 4.19E-06 2.14E-06
1st compt length 1st compt effective dia. Desired Vol Load 2nd compt length 2nd compt effective dia. Desired Vol. Load Partition Length
3
0.31
m m % m m % m
10.64 3.55 47,900.61 20.15 3.36
m3 m3/m kg m3 m3/m
7843
3.7 33 6 3.6 33
1st Compt Chg Vol 1st Compt charge vol./m length 1st compt chg wt 2nd Compt Charge Vol. 2nd Compt Charge Vol./m Length
(Use 7843 if not known) (Use 4500 if not known)
kg/ball 2.99 2.10 1.41 0.89 0.51 0.26 0.11 0.06 0.03 0.02
bulk Density kg/m3 4,579.60 4,608.11 4,640.42 4,677.73 4,721.85 4,775.85 4,845.48 4,889.60 4,943.60 4,997.61
47.9
Std Size 3.5 3 2.75 2.5 2 1.5 1.25 1 0.75 0.625
mt
Slegten Ball Charge Based on Std Inch Ball Sizes The weight % of 3.5 inch balls in the first compartment is normally 20% Ball Dia, inch 1st Compartment 3.5 3 2.75 2.5 Total 1st Compt. 2nd Compartment Transition Zone 2 1.5 Total Transition Fine Grinding Zone 1.25 1
% by wt
no Balls
mt
Bulk Density kg/m3 Volume, m3
34.1 26.2 19.7 100.00
3,320 8,979 8,979 8,979 30,256
9.6 16.3 12.6 9.4 47.9
4,500 4,500 4,500 4,500
2.13 3.63 2.79 2.10 10.64
4.9 2.1 7.0
8,979 8,979 17,957
4.8 2.0 6.9
4,718 4,788
1.02 0.43 1.45
33.0 26.7
246,958 390,185
32.5 26.3
4,832 4,886
6.7 5.4
20.0
0.75 0.625 Total Fine Grinding Total 2nd Compt.
33.3 0.0 93.0 100.0
1,153,924 1,791,067 1,809,025
32.8 0.0 91.5 98.3
4,955 4,999
6.6 0.0 18.70 20.15
Ball Charge Plot 4 3.5 3 h c n I , 2.5 r e t e 2 m a i D 1.5 l l a B 1 0.5 0 0
1
2
3
4
5
6
7
8
9
Distance From Feed End, m
10
11
12
kg/ball 2.89 1.82 1.40 1.05 0.54 0.23 0.13 0.07 0.03 0.02
bulk Density kg/m3 4,583 4,620 4,641 4,664 4,718 4,788 4,832 4,886 4,955 4,999
Ball Dia , Inch 3.5 3 2.75 2.5 2 1.5 1.25 1 0.75 0.625 length,m
x
0.6 1.0 0.8 0.6 3.0
0.31 0.13 0.43 2.00 1.60
Slegten Values 2 1.6
y 0 0.6 0.6 0.6 0.6 1.6 1.6 1.6 1.6 2.4 2.4 2.4 2.4 3.0 3.0
3.5 3.5
1.97 0.00 5.57 6.00
13
2.8
14
3.0 3.3 3.6 3.6 3.6 3.6 3.7 3.7 3.7 3.7 5.7 5.7 5.7 5.7 7.3 7.3 7.3 7.3 9.3 9.3 9.3 9.3 9.3 0.3 1.1 2.0 2.7 3.0 3.3 3.7 4.7 6.5 8.3 9.3
Cum Length 0.6 1.6 2.4 3.0 3.6 3.7 5.7 7.3 9.3 9.3
3.5 3 3 3 3 2.75 2.75 2.75 2.75 2.5 2.5 2.5 2.5
2.5 2 2 2 1.5
1.5 1.5 1.5 1.25 1.25 1.25 1.25 1 1 1 1 0.75 0.75 0.75 0.75 0.625 0.625 0.625
3.5 3 2.75 2.5 2.39275 2 1.5 1.25 1 0.75 0.625
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