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Evaluacion de un circuito Molienda clasificacion
PARAMETROS DE OPERACIÓN MolinoTM 1000 Malla Abertura Alimentacion TMH 41.67 pesoKW-H (potencia) 500 1 1/2" 12500 69.1
AMP 600 2 3/8" 9500 350
VOLT 400 3 1/4" 6300 520.4
Fp 1 4 4" 4750 210.8
G.E. 3 5 10" 1700 374.5
%H2O= 3.27 6 20" 841 87
7 35" 425 66.8
Diam. Apex 5 1/2" 8 48" 300 29.6
Diam. Vortex 9 1/2" 9 65" 212 30.4
Diam. Inlet 7 1/2" 10 100" 150 30.5
Altura 77.14 11 150" 106 29.6
Presion 8.9 12 200" 71 30.2
N° Ciclones 3 13 270" 53 31.4
14 325" 45 15.2
15 400" 38 7.5
16 -400 17 117
Total 2000
TMSHDensidad (Kg/l)
MODELO DE GAUDIN SHUMMAN (Alimento al molino)n Abertura Alimento al molino
malla micrones peso %peso Ac(+) Ac(-)1 1/2" 12500 69.1 3.455 3.455 96.5452 3/8" 9500 350 17.5 20.955 79.0453 1/4" 6300 520.4 26.02 46.975 53.0254 4" 4750 210.8 10.54 57.515 42.485
5 10" 1700 374.5 18.725 76.24 23.766 20" 841 87 4.35 80.59 19.417 35" 425 66.8 3.34 83.93 16.078 48" 300 29.6 1.48 85.41 14.599 65" 212 30.4 1.52 86.93 13.07
10 100" 150 30.5 1.525 88.455 11.54511 150" 106 29.6 1.48 89.935 10.06512 200" 71 30.2 1.51 91.445 8.55513 270" 53 31.4 1.57 93.015 6.98514 325" 45 15.2 0.76 93.775 6.22515 400" 38 7.5 0.375 94.15 5.8516 -400 17 117 5.85 100 0
Total 2000 100
N = 15
C = 0.989
m = 0.440
B = 0.076
K = 23823.921
F 80 = 14339.457
MODELO DE GAUDIN SHUMMAN (Descarga al molino)Abertura Descarga al molino
malla micrones peso %peso Ac(+) Ac(-)1 1/2" 12500 0.0 0 02 3/8" 9500 4.6 0.46 0.46 99.543 1/4" 6300 10.9 1.09 1.55 98.454 4" 4750 9.4 0.94 2.49 97.515 10" 1700 33.2 3.32 5.81 94.196 20" 841 56.3 5.63 11.44 88.567 35" 425 137.0 13.7 25.14 74.868 48" 300 104.7 10.47 35.61 64.399 65" 212 98.6 9.86 45.47 54.53
10 100" 150 16.7 1.67 47.14 52.8611 150" 106 92.0 9.2 56.34 43.6612 200" 71 82.4 8.24 64.58 35.4213 270" 53 100.9 10.09 74.67 25.3314 325" 45 4.5 0.45 75.12 24.8815 400" 38 5.5 0.55 75.67 24.33
2222 )()( YYNxXXN
YXXYNC
22 )()(
)()(
XXN
YXXYNm
22
2
)()(
)()(
XXN
XYXYXB
m
BK
1
10
100
mxKF
1
100
8080
16 -400 17 243.3 24.33 100Total 1000.0 100
N = 14
C = 0.119
m = 0.263
B = 1.067
K = 3529.233
P 80 = 1510.601
2222 )()( YYNxXXN
YXXYNC
22 )()(
)()(
XXN
YXXYNm
22
2
)()(
)()(
XXN
XYXYXB
m
BK
1
10
100
mxKP
1
100
8080
Evaluacion de un circuito Molienda clasificacion CALCULAR
Molino Ciclon GAUDIN SHUMMAN INTERPOLACIONDescarga O/F U/F F80 = 14339.45686 F80 =
Peso peso peso P80 = 1510.600657 P80 =0 0 0 R80 = 9.492553043 R80 =
4.6 0 9 Eficiencia de molino10.9 0 21.8 Eficiencia de clasificacion
9.4 0 16 CC =33.2 0 50.8 Descarga molino56.3 0.2 82.3 % Solidos O/F137 3.9 212.5 U/F
104.7 11.7 146.898.6 26 134.8 descarga molino16.7 45.9 109.8 Dilucion O/F
92 37.9 63.5 pulpa U/F82.4 36.3 34.4
100.9 41.2 26.6 Wi4.5 11.3 7.3 By pass5.5 8.4 5.6 D50 Real
243.3 147.2 78.8 D50 Corregido1000 370 1000
2.252 1.32 2.193
MODELO DE GAUDIN SHUMMAN (Alimento al molino)Distribucion G -G-S
LOG x LOG Y XY X2 Yc4.097 1.985 8.131 16.785 3.939 75.3153.978 1.898 7.549 15.822 3.602 66.7573.799 1.724 6.552 14.435 2.974 55.7303.677 1.628 5.987 13.518 2.651 49.225
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE ALIMENTO
YrYc
ABERTURA
PORC
ENTA
JE
m
KxYc
)100(
3.230 1.376 4.445 10.436 1.893 31.3362.925 1.288 3.767 8.554 1.659 22.9982.628 1.206 3.170 6.908 1.454 17.0382.477 1.164 2.884 6.136 1.355 14.6192.326 1.116 2.597 5.412 1.246 12.5502.176 1.062 2.312 4.735 1.129 10.7802.025 1.003 2.031 4.102 1.006 9.2541.851 0.932 1.726 3.427 0.869 7.7591.724 0.844 1.456 2.973 0.713 6.8241.653 0.794 1.313 2.733 0.631 6.3501.580 0.767 1.212 2.496 0.589 5.895
40.148 18.788 55.130 118.473 25.709 392.430∑X ∑Y ∑XY ∑X2 ∑Y2
INTERPOLACION NUMERICA
12500 96.5459500 79.045
X 80
12500-9500 12500-X96,545-79,045 96,545-80
F 80 9663.714
MODELO DE GAUDIN SHUMMAN (Descarga al molino)Distribucion G -G-S
LOG X LOG Y XY X2 Y2 Yc
3.978 1.998 7.947 15.822 3.992 129.7433.799 1.993 7.573 14.435 3.973 116.4603.677 1.989 7.313 13.518 3.956 108.1253.230 1.974 6.377 10.436 3.897 82.5242.925 1.947 5.695 8.554 3.792 68.5812.628 1.874 4.926 6.908 3.513 57.3142.477 1.809 4.481 6.136 3.272 52.2982.326 1.737 4.040 5.412 3.016 47.7342.176 1.723 3.750 4.735 2.969 43.5842.025 1.640 3.322 4.102 2.690 39.7811.851 1.549 2.868 3.427 2.400 35.8021.724 1.404 2.420 2.973 1.970 33.1521.653 1.396 2.308 2.733 1.948 31.7561.580 1.386 2.190 2.496 1.921 30.375
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE ALIMENTO
YrYc
ABERTURA
PORC
ENTA
JE
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE DESCARGA
YrYc
ABERTURA
PORC
ENTA
JE
m
KxYc
)100(
36.051 24.419 65.210 101.688 43.309 877.228∑X ∑Y ∑XY ∑X2 ∑Y2
INTERPOLACION NUMERICA
841 88.56425 74.86
X 80
841-425 841-X88,56-74,86 88,56-80
P 80 581.076
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE DESCARGA
YrYc
ABERTURA
PORC
ENTA
JE
INTERPOLACION9663.714581.076
16.6307260021
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE ALIMENTO
YrYc
ABERTURA
PORC
ENTA
JE
m
KxYc
)100(
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE ALIMENTO
YrYc
ABERTURA
PORC
ENTA
JE
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE DESCARGA
YrYc
ABERTURA
PORC
ENTA
JE
m
KxYc
)100(
10 100 1000 10000 1000000
20
40
60
80
100
ANALISIS GRANULOMETRICO DE DESCARGA
YrYc
ABERTURA
PORC
ENTA
JE
MOLINO CICLON
ABERTURA ALIMENTO DESCARGA DESCARGA DE (O/F)
PULG U ALIMENTO %PESO Ac(+) Ac(-) DESCARGA %PESO Ac(+) Ac(-) OVERFLOW %PESO1 1/2" 12500 69.1 3.455 3.455 96.545 0 0 0 02 3/8" 9500 350 17.5 20.955 79.045 4.6 0.46 0.46 99.54 0 03 1/4" 6300 520.4 26.02 46.975 53.025 10.9 1.09 1.55 98.45 0 04 4" 4750 210.8 10.54 57.515 42.485 9.4 0.94 2.49 97.51 0 05 10" 1700 374.5 18.725 76.24 23.76 33.2 3.32 5.81 94.19 0 06 20" 841 87 4.35 80.59 19.41 56.3 5.63 11.44 88.56 0.2 0.0547 35" 425 66.8 3.34 83.93 16.07 137 13.7 25.14 74.86 3.9 1.0548 48" 300 29.6 1.48 85.41 14.59 104.7 10.47 35.61 64.39 11.7 3.1629 65" 212 30.4 1.52 86.93 13.07 98.6 9.86 45.47 54.53 26 7.027
10 100" 150 30.5 1.525 88.455 11.545 16.7 1.67 47.14 52.86 45.9 12.40511 150" 106 29.6 1.48 89.935 10.065 92 9.2 56.34 43.66 37.9 10.24312 200" 71 30.2 1.51 91.445 8.555 82.4 8.24 64.58 35.42 36.3 9.81113 270" 53 31.4 1.57 93.015 6.985 100.9 10.09 74.67 25.33 41.2 11.13514 325" 45 15.2 0.76 93.775 6.225 4.5 0.45 75.12 24.88 11.3 3.05415 400" 38 7.5 0.375 94.15 5.85 5.5 0.55 75.67 24.33 8.4 2.27016 -400 17 117 5.85 100 0 243.3 24.33 100 0 147.2 39.784
TOTAL 2000 100 1000 100 370 100
CALCULO DEL % DE SOLIDOS Y LA DILUCION DE LA PULPA CALCULO DEL INDICE DE TRABAJO Wi: POR (GAUDIN SHUMMAN )
DATOS DATOSG.E. = 3 %solidos dilucion pulpa F 80 14339.4569
Dens.Desc.Molin. = 2.252 Alimento 83.39 0.20 P 80 1510.60066Dens. O/F = 1.32 O/F 36.36 1.75 W 500 Wi=Dens. U/F = 2.193 U/F 81.60 0.23 TMH 41.67
100*
*1..
..*1%
dEG
EGdS
solidosdeporcentaje
S
SDp
pulpadedilucion
%
%100
80
10
80
10
1
FP
TMH
WWi
CALCULO DEL TONELAJE (TMH) CALCULO DEL INDICE DE TRABAJO Wi: POR (INTERPOLACION )DATOS
DATOS TMH F 80 9663.714TMH = 41.67 ALIMENTO 40.307391 P 80 581.076
%H2O = 3.27 U/F 49.748652187 W 500DESCARGA 90.056043187 TMH 41.67O/F 40.307391 Wi=
CICLONABERTURA
BY PASSMALLA UNDER UF OVER 0FPULG. PESO PESO PROMEDIO1/2"3/8"1/4"4"
10"20" 4.094314075 0.0217877789 99.470669588 115.447577854 1270.5 0.13720720792735" 10.57158859 0.4248616889 96.13637421 96.1363742103 63348" 7.3031021411 1.2745850668 85.140690773 85.1406907728 362.565" 6.7061183149 2.8324112595 70.305577632 70.3055776324 256
100" 5.4624020102 5.0002952619 52.208353813 52.2083538129 181150" 3.1590394139 4.1287841051 43.346815488 43.3468154882 128200" 1.7113536352 3.9544818738 30.204788553 30.2047885527 88.5270" 1.3233141482 4.4882824573 22.770234034 22.7702340341 62325" 0.363165161 1.2310095089 22.780763478 22.7807634777 49400" 0.2785924522 0.9150867146 23.33897248 23.33897248 41.5
-400 TOTAL 40.972989942 24.271585716
EFIC.REAL
EFIC.CORREG.
10 100 1000 1000010
20
30
40
50
60
70
80
90
100
CURVAS DE EFICIENCIA CLASIFICACION
EFIC REALEFIC. CORREGIDA
ABERTURA
PORC
ENTA
JE
100
%100 2
TMHxOH
80
10
80
10
1
FP
TMH
WWi
CICLONCCDESCARGA DE (O/F) ALIMENTO DE (U/F)
Ac(+) Ac(-) UNDERFLOW %PESO Ac(+) Ac(-)0 09 0.9 0.9 99.1 97.805
21.8 2.18 3.08 96.92 96.70016 1.6 4.68 95.32 95.671
50.8 5.08 9.76 90.24 92.3790.05 99.946 82.3 8.23 17.99 82.01 85.805 1.7383 41.0411.11 98.892 212.5 21.25 39.24 60.76 70.046 1.7044 47.2184.27 95.730 146.8 14.68 53.92 46.08 58.307 1.7116 50.405
11.30 88.703 134.8 13.48 67.4 32.6 47.694 1.5583 53.87323.70 76.297 109.8 10.98 78.38 21.62 46.707 0.7502 53.74033.95 66.054 63.5 6.35 84.73 15.27 37.355 0.7888 50.89443.76 56.243 34.4 3.44 88.17 11.83 29.378 0.8827 48.35254.89 45.108 26.6 2.66 90.83 9.17 19.723 1.2239 47.02157.95 42.054 7.3 0.73 91.56 8.44 19.893 1.0447 44.94260.22 39.784 5.6 0.56 92.12 7.88 19.628 0.9394 43.281
100.00 0.000 78.8 7.88 1001000 100 817.092 1.2342 480.767
CALCULO DEL INDICE DE TRABAJO Wi: POR (GAUDIN SHUMMAN )
69.046
EFICIE.MOLINO
EFICIE.CILASIF.
100
.lim
)()(
.
)(
.lim
x
A
AcAc
Desc
Ac
A
)
)(
)/lim(
)(
)/(()
)(
)(100()
)(
)((
)))(
)/lim(
)(
)(()
)(
)(
)(
)/(((
)10000(
Ac
fua
Ac
fodescx
Ac
moldescx
Ac
moldescAc
fua
Ac
moldescx
Ac
moldesc
Ac
fodesc
x
80
10
80
10
1
FP
TMH
WWi
CALCULO DEL INDICE DE TRABAJO Wi: POR (INTERPOLACION )
38.321
10 100 1000 1000010
20
30
40
50
60
70
80
90
100
CURVAS DE EFICIENCIA CLASIFICACION
EFIC REALEFIC. CORREGIDA
ABERTURA
PORC
ENTA
JE
80
10
80
10
1
FP
TMH
WWi