UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS(Universidad del Perú, Decana de América)

FACULTAD DE QUÍMICA E INGENIERÍA QUÍMICA

CURSO : Procesamiento de Minerales I

Trabajo : Circuito Molienda Modsim

PROFESOR : ING. Manuel Otiniano

ALUMNO : Saez Dominguez, Pilar

Código: 05070070

C.U., Marzo DEL 2013

Circuito de Molienda

Resultados de la Simulación

***************************** * MODSIM UNIT DESIGN REPORT * *****************************

UNIT EQUIPMENT DATA SHEET - GYRATORY CRUSHER ********************************************

Unit number 1 MODSIM model name GYRA Job name: pilar Tonnage to be processed 100.0 tons per hour

Open side discharge setting 15.00 cms

Size distribution in feed

Size % passing cms 0.421 100.000 0.297 100.000 0.210 100.000 0.149 100.000 0.105 100.000 0.743E-01 100.000 0.526E-01 100.000 0.371E-01 100.000 0.263E-01 100.000 0.186E-01 100.000 0.131E-01 100.000 0.929E-02 100.000 0.657E-02 100.000 0.465E-02 100.000 0.328E-02 100.000 0.232E-02 100.000 0.164E-02 100.000 0.116E-02 100.000 0.821E-03 100.000 0.581E-03 100.000 0.411E-03 100.000 0.290E-03 100.000

0.205E-03 100.000 0.145E-03 100.000 0.00 0.000

Top size in feed is approximately 0.00 cms

Dimension A of crusher must be at least 0.00 cms

Minimum head diameter required to handle the tonnage..... "Fall through" material in feed NaN percent.

Size distribution in product

Size % passing cms 0.421 5.629 0.297 4.223 0.210 3.163 0.149 2.366 0.105 1.767 0.743E-01 1.319 0.526E-01 0.984 0.371E-01 0.734 0.263E-01 0.547 0.186E-01 0.408 0.131E-01 0.304 0.929E-02 0.227 0.657E-02 0.169 0.465E-02 0.126 0.328E-02 0.094 0.232E-02 0.070 0.164E-02 0.052 0.116E-02 0.039 0.821E-03 0.029 0.581E-03 0.021 0.411E-03 0.016 0.290E-03 0.012 0.205E-03 0.009 0.145E-03 0.007 0.00 0.000

Impact work index of the material is 13.00 kWhr/ton 80% passing size in feed is 0.00 mms. 80% passing size in product is 216.88 mms. Estimated power requirements -.120E+05 kW

Power requirement to allow for 35% surge capacity-.1625E+05 KW.

Crusher selected.....

Crusher capacity from manufacturer's tables.....tons per hour.

Number of crushers required......

NOTES:

UNIT EQUIPMENT DATA SHEET - ROD MILL ****************************************

Unit number 2 MODSIM model name RODM Job name: pilar

PARAMETERS: Parameters for breakage function Beta: 3.723 Gamma: 0.748 Delta: 0.000 Phi at 5mm: 0.720 Phi at top size: 0.720 Parameters for selection function S1 0.399 1/min Alpha: 0.500 Mu: 10.000 mm Lambda: 2.513

Residence time of water: 5.00 min Exponential factor for variation of transport velocity with size 0.10

Calculated tonnage through mill 100.00 tons/hr. Calculated hold up in mill 8.33 tons

Size distribution in FEED Size % passing mms 4.21 5.629 2.97 4.223 2.10 3.163 1.49 2.366 1.05 1.767 0.743 1.319

0.526 0.984 0.371 0.734 0.263 0.547 0.186 0.408 0.131 0.304 0.929E-01 0.227 0.657E-01 0.169 0.465E-01 0.126 0.328E-01 0.094 0.232E-01 0.070 0.164E-01 0.052 0.116E-01 0.039 0.821E-02 0.029 0.581E-02 0.021 0.411E-02 0.016 0.290E-02 0.012 0.205E-02 0.009 0.145E-02 0.007 0.00 0.000

Size distribution in PRODUCT Size % passing mms 4.21 99.737 2.97 98.688 2.10 96.131 1.49 91.577 1.05 85.034 0.743 76.964 0.526 68.024 0.371 58.869 0.263 50.032 0.186 41.870 0.131 34.574 0.929E-01 28.250 0.657E-01 22.863 0.465E-01 18.363 0.328E-01 14.653 0.232E-01 11.630 0.164E-01 9.188 0.116E-01 7.232 0.821E-02 5.674 0.581E-02 4.439 0.411E-02 3.466 0.290E-02 2.701 0.205E-02 2.101 0.145E-02 1.632

0.00 0.000

80% passing size in feed .217E+06 microns80% passing size in product 841. micronsThe power required by this mill can be estimated from theBond work index for the ore. Power required = 32.3 x W.I. kW

UNIT EQUIPMENT DATA SHEET - Hydrocyclone ****************************************

Unit number 5 MODSIM model name CYCL Job name: pilar

PARAMETERS: Cyclone diameter 0.500 meters Vortex-spigot distance 0.750 meters Inlet diameter 0.100 meters Vortex finder diameter 0.290 meters Spigot diameter 0.290 meters Feed head 3.00 meters Cyclones in cluster 1

Flowrate through each cyclone 0.612E-01 m**3 per sec. Volumetric fraction of solids in the feed 0.909 Viscosity of slurry 0.0012 kg/ms Specific gravity of slurry in separation zone 1.00 Index for variation of d50 with density 0.50 Pressure drop across the hydrocyclone 52.7 kPa

Plitt's calibration parameters: For D50 1.00 For the sharpness factor 1.00 For the flow split 1.00

Size distribution in feed

Size % passing mms 4.21 99.932 2.97 99.677 2.10 99.075 1.49 98.008 1.05 96.441

0.743 94.405 0.526 91.935 0.371 89.018 0.263 85.548 0.186 81.293 0.131 75.883 0.929E-01 68.953 0.657E-01 60.334 0.465E-01 50.554 0.328E-01 40.767 0.232E-01 32.085 0.164E-01 24.977 0.116E-01 19.376 0.821E-02 15.019 0.581E-02 11.637 0.411E-02 9.015 0.290E-02 6.980 0.205E-02 5.402 0.145E-02 4.179 0.00 0.000

Volumetric flow split to underflow 4.628 Sharpness parameter lambda = 0.95 Sharpness index = 0.193 D50c for particle type 1 is 8019. microns

Size distribution in underflow. Size % passing mms 4.21 99.927 2.97 99.658 2.10 99.031 1.49 97.932 1.05 96.332 0.743 94.267 0.526 91.774 0.371 88.840 0.263 85.359 0.186 81.098 0.131 75.688 0.929E-01 68.764 0.657E-01 60.159 0.465E-01 50.401 0.328E-01 40.639 0.232E-01 31.981 0.164E-01 24.895

0.116E-01 19.311 0.821E-02 14.968 0.581E-02 11.597 0.411E-02 8.984 0.290E-02 6.956 0.205E-02 5.383 0.145E-02 4.164 0.00 0.000

Size distribution in overflow. Size % passing mms 4.21 99.956 2.97 99.767 2.10 99.280 1.49 98.359 1.05 96.943 0.743 95.041 0.526 92.679 0.371 89.841 0.263 86.424 0.186 82.196 0.131 76.788 0.929E-01 69.826 0.657E-01 61.141 0.465E-01 51.262 0.328E-01 41.360 0.232E-01 32.566 0.164E-01 25.359 0.116E-01 19.677 0.821E-02 15.254 0.581E-02 11.820 0.411E-02 9.158 0.290E-02 7.091 0.205E-02 5.488 0.145E-02 4.245 0.00 0.000

Water recovery to underflow = 0.820

Ratio of air core to underflow diameter by Concha's formula is 0.85

UNIT EQUIPMENT DATA SHEET - BALL MILL *************************************

Unit number 4 MODSIM model name HFSU Job name: pilar

PARAMETERS: Parameters for selection function Energy-specific selection function at 1 mm: 0.800 t/kWh Zeta 1: 0.185 Zeta 2: -0.312 Parameters for breakage function Beta: 3.723 Gamma: 0.748 Delta: 0.000 Phi at 5mm: 0.720

Mill conditions Mill diameter: 3.51 m Mill length: 4.11 m Ball load in the mill: 35.0 Mill speed as % of critical: 74.0 Specific gravity of grinding media: 7800.0 kg/m**3

No post classification was specified. Transport model is PM,PM,PM Fractional residence times: Region 1: 0.014 Region 2: 0.212 Region 3: 0.774

Liberation was not modeled.

Average density of the ore 2800.0 kg/m**3 Calculated density of the total mill charge 5735.0 kg/m**3 No-load power 83.43 kW Net power by Austin's formula 1408.84 kW Specific power consumption 3.05 kW h/t

Size distribution in FEED Size % passing

mms 4.21 99.927 2.97 99.658 2.10 99.031 1.49 97.932 1.05 96.332 0.743 94.267 0.526 91.774 0.371 88.840 0.263 85.359 0.186 81.098 0.131 75.688 0.929E-01 68.764 0.657E-01 60.159 0.465E-01 50.401 0.328E-01 40.639 0.232E-01 31.981 0.164E-01 24.895 0.116E-01 19.311 0.821E-02 14.968 0.581E-02 11.597 0.411E-02 8.984 0.290E-02 6.956 0.205E-02 5.383 0.145E-02 4.164 0.00 0.000

Size distribution in PRODUCT Size % passing mms 4.21 99.974 2.97 99.892 2.10 99.713 1.49 99.402 1.05 98.913 0.743 98.184 0.526 97.116 0.371 95.549 0.263 93.240 0.186 89.827 0.131 84.820 0.929E-01 77.752 0.657E-01 68.429 0.465E-01 57.504 0.328E-01 46.402 0.232E-01 36.498 0.164E-01 28.383

0.116E-01 21.995 0.821E-02 17.034 0.581E-02 13.189 0.411E-02 10.211 0.290E-02 7.903 0.205E-02 6.113 0.145E-02 4.728 0.00 0.000

80% passing size in feed 173. microns80% passing size in product 103. micronsCalculated specific power input 3.05 kWh/tCalculated operating work index for this mill 13.7 kWh/t

pilarStream Solid number flow kg/s 1 27.78 2 27.78 3 27.78 4 155.90 5 27.66 6 128.20 7 128.20 8 0.00

Grafica

Comentarios del circuito Modsim

Tenemos el circuito con una trituradora giratoria para 100 ton/h de mineral de gravedad específica de 2.8, notamos que el índice de impacto es 13 Kwh/ton y el tamaño que pasa en el producto es de 216,88 mm, notamos que hay una demanda de energia para permitir el 35% de aumento de la capacidad.

Del molino de barras el 80% que pasa en el producto es de 841 um, la potencia requerida de este molino es de 32,3 kW x W.I.

Del hidrociclon vemos que la recuperación del agua es de 0.820 y el % de núcleo de aire es de 0.85, que son porcentajes adecuados.

Por último el molino de bolas 80% que pasa en la alimentación es de 173 um y en el producto es 103 um y con un índice de trabajo de 13.7 KWh/t, que se nota que es un índice bajo y bueno para el circuito.