
Download - Calculo Ciclon

EVALUACION DEL NIDO DE CICLONES D-10 8' X 10' - I
Alimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)
20 850 37.96 9.49 9.49 90.51 43.54 10.89 10.89 89.12 0.75 0.19 0.19 99.8135 500 78.12 19.53 29.02 70.98 89.26 22.32 33.20 66.80 7.87 1.97 2.16 97.8550 300 51.00 12.75 41.77 58.23 63.66 15.92 49.12 50.89 12.51 3.13 5.28 94.7270 212 52.60 13.15 54.92 45.08 61.69 15.42 64.54 35.46 23.20 5.80 11.08 88.92100 150 47.84 11.96 66.88 33.12 51.84 12.96 77.50 22.50 32.06 8.02 19.10 80.90140 105 26.00 6.50 73.38 26.62 27.46 6.87 84.36 15.64 33.36 8.34 27.44 72.56200 75 17.64 4.41 77.79 22.21 15.13 3.78 88.15 11.86 30.88 7.72 35.16 64.84270 53 9.56 2.39 80.18 19.82 7.00 1.75 89.90 10.11 23.35 5.84 41.00 59.01325 45 4.12 1.03 81.21 18.79 2.57 0.64 90.54 9.46 12.10 3.03 44.02 55.98400 37 2.68 0.67 81.88 18.12 1.50 0.38 90.91 9.09 8.90 2.23 46.25 53.76-400 72.48 18.12 100 0 36.35 9.09 100.00 0 215.02 53.76 100 0
400 100 400 100 400 100
CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )
TABLA DE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA
20 850 850.00 9.49 0.19 10.89 6.67 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r ) Sk35 500 651.92 19.53 1.97 22.32 6.31 20 850.00 9.23 0.23 11.10 0.045250 300 387.30 12.75 3.13 15.92 3.04 35 651.92 19.11 2.04 22.66 0.072770 212 252.19 13.15 5.80 15.42 3.23 50 387.30 13.31 3.03 15.45 -0.0966100 150 178.33 11.96 8.02 12.96 3.95 70 252.19 13.51 5.74 15.13 -0.0617140 105 125.50 6.50 8.34 6.87 -5.04 100 178.33 12.05 8.00 12.89 -0.0148200 75 88.74 4.41 7.72 3.78 5.27 140 125.50 6.86 8.28 6.57 -0.0623270 53 63.05 2.39 5.84 1.75 5.39 200 88.74 4.44 7.71 3.76 -0.0052325 45 48.84 1.03 3.03 0.64 5.15 270 63.05 2.43 5.83 1.72 -0.0065400 37 40.80 0.67 2.23 0.38 5.27 325 48.84 1.04 3.02 0.63 -0.0023-400 0 18.50 18.12 53.76 9.09 3.95 400 40.80 0.68 2.22 0.36 -0.0024
100 100 100 -400 18.50 17.34 53.89 9.73 0.1339suma 100 46.11 100 0
Del grafico obtenemos el valor de Jr minimo:
Jr min = 2.455
CC = D/R = r = 4.800
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

D/F = 0.828R/F = 0.172
CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE
% PesoMALLA ABERTURA ABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2(alim - under) x ( over - under)
20 850 0.00 9.49 0.19 10.89 6.67 -1.40 -10.70 114.44 14.9235 500 651.92 19.53 1.97 22.32 6.31 -2.79 -20.35 414.02 56.6750 300 387.30 12.75 3.13 15.92 3.04 -3.17 -12.79 163.52 40.4770 212 252.19 13.15 5.80 15.42 3.23 -2.27 -9.62 92.59 21.87100 150 178.33 11.96 8.02 12.96 3.95 -1.00 -4.95 24.45 4.95140 105 125.50 6.50 8.34 6.87 -5.04 -0.37 1.48 2.18 -0.54200 75 88.74 4.41 7.72 3.78 5.27 0.63 3.94 15.50 2.47270 53 63.05 2.39 5.84 1.75 5.39 0.64 4.09 16.71 2.62325 45 48.84 1.03 3.03 0.64 5.15 0.39 2.38 5.68 0.92400 37 40.80 0.67 2.23 0.38 5.27 0.30 1.85 3.42 0.55-400 18.12 53.76 9.09 3.95 9.03 44.67 1995.19 403.46
100.00 100.00 100.00 2847.69 548.35
AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r (malla)i Alim over under Alfa = 0.19255996
850 0.00 0.66 0.39 0.39 -0.08 -0.32500 651.92 1.13 0.67 0.67 -0.13 -0.54 F = 1 U = 0.8074300 387.30 -0.70 -0.42 -0.42 0.08 0.34 O = 0.1926212 252.19 -0.42 -0.25 -0.25 0.05 0.20212 252.19 -0.05 -0.03 -0.03 0.01 0.02 U / O = 4.19318763150 178.33 -0.65 -0.38 -0.38 0.07 0.31105 125.50 -0.13 -0.08 -0.08 0.01 0.0675 88.74 -0.15 -0.09 -0.09 0.02 0.07 r = f -alfa * o - (1-alfa )*u53 63.05 -0.07 -0.04 -0.04 0.01 0.03 h = 3.1781106883671945 48.84 -0.06 -0.04 -0.04 0.01 0.0337 40.80 0.43 0.26 0.26 -0.05 -0.21
ANALISIS DE MALLA CORREGIDAABERTURA ABERTURA Alimento Rebose Descarga CC = D/R
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

850 0.00 9.10 0.26 11.20 4.19500 651.92 18.86 2.10 22.86 4.19300 387.30 13.17 3.05 15.58 4.19212 252.19 13.40 5.75 15.22 4.19212 252.19 11.99 8.01 12.94 4.19150 178.33 6.88 8.27 6.55 4.19105 125.50 4.49 7.71 3.72 4.1975 88.74 2.48 5.82 1.68 4.1953 63.05 1.07 3.02 0.61 4.1945 48.84 0.71 2.22 0.35 4.1937 40.80 17.86 53.80 9.29 4.19
CURVA DE PARTICION CORREGIDA
DATOS: LOS % DE SOLIDOS%SF= 70.73 AGUA EN LA DESCARGA = P%SR = 46.20 AGUA EN EL ALIMENTO P = 0.5192%SD = 79.39
ECUACION DE LA CURVA DE PARTICION CORREGIDA :
TABLA DE PARTICION CORREGIDA Y X
MALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)
20 850.00 99.57 99.10 0.43 96.03 0.67 2.9335 651.92 98.16 96.17 1.84 93.87 0.51 2.8150 387.30 96.07 91.83 3.93 87.79 0.40 2.5970 252.19 92.68 84.77 7.32 81.07 0.27 2.40100 178.33 88.55 76.19 11.45 74.80 0.16 2.25140 125.50 79.20 56.74 20.80 67.96 -0.08 2.10200 88.74 70.04 37.69 29.96 61.03 -0.33 1.95270 63.05 58.59 13.88 41.41 54.27 -0.83 1.80325 48.84 50.06 -3.86 49.94 49.37 0.00 1.69400 40.80 43.97 -16.52 56.03 46.06 0.00 1.61-400 18.50 46.43 -11.41 53.57 33.05 0.00 1.27
Log(ln(1/(1-ED(x)c))
ED=100−100exp [−0 .6931( xd50 )]m
Log[Ln( 11− y )]=Log [ 0 .6931(d50 )m ]+m∗Log (x )
y=a+bxb=m
a=Log[0 .6931(d50 )m ]
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
f(x) = 0.544700911602914 x − 1.0868837421925R² = 0.477916685218132
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))]

Del grafico obtenemos los sgtes datos:
m=b 0.545a= -1.087
d50 corr = 50.481
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
f(x) = 0.544700911602914 x − 1.0868837421925R² = 0.477916685218132
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))]
10.00 100.00 1000.00
-20-10
0102030405060708090
100
CURVA DE PARTICION
Curva de Particion
Curva de Particion Cor-regida
Curva de Particion Calcu-lada
ABERTURA
ED(X
)
30 50 70 90 110 130 150 170 190 210 230 250 270 2900
102030405060708090
100
CURVA TROMP
Des Reb
abertura
ED(x
)

d50 = 49.00d50 Corr = 50.48d50 Calc = 67.75
EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGA
MALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 9.23 90.77 9.23 0.23 99.77 0.23 11.10 88.90 11.1035 652 19.11 71.66 28.34 2.04 97.73 2.27 22.66 66.23 33.7750 387 13.31 58.35 41.65 3.03 94.70 5.30 15.45 50.78 49.2270 252 13.51 44.85 55.15 5.74 88.96 11.04 15.13 35.66 64.34100 178 12.05 32.80 67.20 8.00 80.96 19.04 12.89 22.77 77.23140 125 6.86 25.94 74.06 8.28 72.68 27.32 6.57 16.20 83.80200 89 4.44 21.50 78.50 7.71 64.97 35.03 3.76 12.44 87.56270 63 2.43 19.07 80.93 5.83 59.13 40.87 1.72 10.72 89.28325 49 1.04 18.03 81.97 3.02 56.11 43.89 0.63 10.09 89.91400 41 0.68 17.34 82.66 2.22 53.89 46.11 0.36 9.73 90.27-400 19 17.34 0.00 100.00 53.89 0.00 100.00 9.73 0.00 100.00
100.00 100.00
30 50 70 90 110 130 150 170 190 210 230 250 270 2900
102030405060708090
100
CURVA TROMP
Des Reb
abertura
ED(x
)
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
Curvas de G - G - S
AlimentoReboseDescarga
abertura
%Ac
um. P
asan
te

d50 = 49.00 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.537
fF(d50) = 18.03 n2 = 0.908
fD(d50) = 10.09 n = 48.71fR(d50) = 56.11
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
Curvas de G - G - S
AlimentoReboseDescarga
abertura
%Ac
um. P
asan
te

EVALUACION DEL NIDO DE CICLONES D-10 8' X 10' - II
Alimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)
20 850 37.96 9.49 9.49 90.51 54.59 13.65 13.65 86.35 1.06 0.27 0.27 99.7435 500 78.12 19.53 29.02 70.98 92.83 23.21 36.86 63.15 9.74 2.44 2.70 97.3050 300 51.00 12.75 41.77 58.23 60.94 15.24 52.09 47.91 13.19 3.30 6.00 94.0070 212 52.60 13.15 54.92 45.08 60.13 15.03 67.12 32.88 24.19 6.05 12.05 87.96100 150 47.84 11.96 66.88 33.12 48.27 12.07 79.19 20.81 32.24 8.06 20.11 79.90140 105 26.00 6.50 73.38 26.62 25.04 6.26 85.45 14.55 32.01 8.00 28.11 71.89200 75 17.64 4.41 77.79 22.21 13.76 3.44 88.89 11.11 31.08 7.77 35.88 64.12270 53 9.56 2.39 80.18 19.82 6.68 1.67 90.56 9.44 22.55 5.64 41.52 58.49325 45 4.12 1.03 81.21 18.79 2.41 0.60 91.16 8.84 12.03 3.01 44.52 55.48400 37 2.68 0.67 81.88 18.12 1.37 0.34 91.51 8.50 9.12 2.28 46.80 53.20-400 72.48 18.12 100 0 33.98 8.50 100.00 0 212.79 53.20 100 0
400 100 400 100 400 100
CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )
TABLA DE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA
20 850 850.00 9.49 0.27 13.65 2.22 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r ) Sk35 500 651.92 19.53 2.44 23.21 4.65 20 850.00 10.13 0.12 13.16 -0.148050 300 387.30 12.75 3.30 15.24 3.80 35 651.92 18.83 2.60 23.75 0.163270 212 252.19 13.15 6.05 15.03 3.77 50 387.30 12.57 3.34 15.37 0.0412100 150 178.33 11.96 8.06 12.07 36.28 70 252.19 13.02 6.08 15.13 0.0293140 105 125.50 6.50 8.00 6.26 6.26 100 178.33 11.46 8.18 12.45 0.1167200 75 88.74 4.41 7.77 3.44 3.46 140 125.50 6.60 7.98 6.18 -0.0234270 53 63.05 2.39 5.64 1.67 4.51 200 88.74 4.43 7.76 3.42 -0.0052325 45 48.84 1.03 3.01 0.60 4.63 270 63.05 2.51 5.61 1.58 -0.0287400 37 40.80 0.67 2.28 0.34 4.92 325 48.84 1.11 2.99 0.54 -0.0187-400 0 18.50 18.12 53.20 8.50 3.64 400 40.80 0.74 2.26 0.29 -0.0174
100 100 100 -400 18.50 18.59 53.09 8.13 -0.1091suma 100 46.91 100 0
Del grafico obtenemos el valor de Jr minimo:
Jr min = 2.390
CC = D/R = r = 3.30
D/F = 0.767
0 2 4 6 8 10 120
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

R/F = 0.233
CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE
% PesoMALLA ABERTURA ABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2 (alim - under) x ( over - under)
20 850 0.00 9.49 0.27 13.65 2.22 -4.16 -13.38 179.09 55.63835 500 651.92 19.53 2.44 23.21 4.65 -3.68 -20.77 431.50 76.39150 300 387.30 12.75 3.30 15.24 3.80 -2.49 -11.94 142.50 29.66570 212 252.19 13.15 6.05 15.03 3.77 -1.88 -8.99 80.73 16.914100 150 178.33 11.96 8.06 12.07 36.28 -0.11 -4.01 16.06 0.431140 105 125.50 6.50 8.00 6.26 6.26 0.24 1.74 3.04 0.418200 75 88.74 4.41 7.77 3.44 3.46 0.97 4.33 18.75 4.200270 53 63.05 2.39 5.64 1.67 4.51 0.72 3.97 15.74 2.857325 45 48.84 1.03 3.01 0.60 4.63 0.43 2.41 5.78 1.028400 37 40.80 0.67 2.28 0.34 4.92 0.33 1.94 3.75 0.635-400 18.12 53.20 8.50 3.64 9.63 44.70 1998.31 430.262
100.00 100.00 100.00 2895.26 618.438
AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r (malla)i Alim over under Alfa = 0.2136
850 0.00 -1.30 -0.78 -0.78 0.17 0.61500 651.92 0.76 0.46 0.46 -0.10 -0.36 F = 1 U = 0.7864300 387.30 0.06 0.04 0.04 -0.01 -0.03 O = 0.2136212 252.19 0.04 0.02 0.02 0.00 -0.02212 252.19 0.75 0.45 0.45 -0.10 -0.35 U / O = 3.6816150 178.33 -0.13 -0.08 -0.08 0.02 0.06105 125.50 0.05 0.03 0.03 -0.01 -0.0275 88.74 -0.13 -0.08 -0.08 0.02 0.06 r = f -alfa * o - (1-alfa )*u53 63.05 -0.09 -0.05 -0.05 0.01 0.04 h = 1.66445 48.84 -0.09 -0.05 -0.05 0.01 0.0437 40.80 0.08 0.05 0.05 -0.01 -0.04
ANALISIS DE MALLA CORREGIDAABERTURA ABERTURA Alimento Rebose Descarga CC = D/R
850 0.00 10.27 0.10 13.03 3.68
0 2 4 6 8 10 120
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

500 651.92 19.07 2.53 23.57 3.68300 387.30 12.71 3.31 15.27 3.68212 252.19 13.13 6.05 15.05 3.68212 252.19 11.51 8.16 12.42 3.68150 178.33 6.58 7.99 6.20 3.68105 125.50 4.38 7.78 3.46 3.6875 88.74 2.47 5.62 1.61 3.6853 63.05 1.08 3.00 0.56 3.6845 48.84 0.72 2.27 0.30 3.6837 40.80 18.07 53.21 8.53 3.68
CURVA DE PARTICION CORREGIDA
DATOS: LOS % DE SOLIDOS%SF= 70.73 AGUA EN LA DESCARGA = P%SR = 48.14 AGUA EN EL ALIMENTO P = 0.4891%SD = 79.13
ECUACION DE LA CURVA DE PARTICION CORREGIDA :
TABLA DE PARTICION CORREGIDA Y X
MALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)
20 850.00 99.73 99.57 0.27 95.64 0.74 2.9335 651.92 96.79 94.86 3.21 93.40 0.47 2.8150 387.30 93.82 90.10 6.18 87.22 0.36 2.5970 252.19 89.15 82.61 10.85 80.52 0.24 2.40100 178.33 83.40 73.41 16.60 74.31 0.12 2.25140 125.50 71.89 54.95 28.11 67.58 -0.10 2.10200 88.74 59.26 34.72 40.74 60.77 -0.37 1.95270 63.05 48.10 16.84 51.90 54.13 -0.73 1.80325 48.84 37.39 -0.32 62.61 49.34 0.00 1.69400 40.80 29.36 -13.18 70.64 46.08 0.00 1.61-400 18.50 33.58 -6.42 66.42 33.28 0.00 1.27
Log(ln(1/(1-ED(x)c))
ED=100−100exp [−0 .6931( xd50 )]m
Log[Ln( 11− y )]=Log [ 0 .6931(d50 )m ]+m∗Log (x )
y=a+bxb=m
a=Log[0 .6931(d50 )m ]
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
f(x) = 0.53470447181308 x − 1.07049690947439R² = 0.490264509247982
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))
]

Del grafico obtenemos los sgtes datos:
m = b = 0.535a = -1.071
d50 corr = 50.619
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
f(x) = 0.53470447181308 x − 1.07049690947439R² = 0.490264509247982
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)Lo
g[Ln
(1/(1
-ED
(x)c
))]
10 100 1000
-20-10
0102030405060708090
100CURVA DE PARTICION
Curva de Particion
Curva de Particion Corregida
Curva de Particion Calcu-lada
ABERTURA
ED(X
)
30 50 70 90 110 130 150 170 190 210 230 250 270 29010
20
30
40
50
60
70
80
90
CURVA TROMP
DesReb
abertura
ED(x
)

d50 = 67.00d50 Corr = 50.62d50 Calc = 67.47
EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGA
MALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 10.13 89.87 10.13 0.12 99.88 0.12 13.16 86.84 13.1635 652 18.83 71.05 28.95 2.60 97.28 2.72 23.75 63.09 36.9150 387 12.57 58.47 41.53 3.34 93.95 6.05 15.37 47.72 52.2870 252 13.02 45.45 54.55 6.08 87.87 12.13 15.13 32.59 67.41100 178 11.46 33.99 66.01 8.18 79.69 20.31 12.45 20.14 79.86140 125 6.60 27.39 72.61 7.98 71.71 28.29 6.18 13.96 86.04200 89 4.43 22.96 77.04 7.76 63.95 36.05 3.42 10.54 89.46270 63 2.51 20.44 79.56 5.61 58.34 41.66 1.58 8.96 91.04325 49 1.11 19.33 80.67 2.99 55.35 44.65 0.54 8.42 91.58400 41 0.74 18.59 81.41 2.26 53.09 46.91 0.29 8.13 91.87-400 19 18.59 0.00 100.00 53.09 0.00 100.00 8.13 0.00 100.00
100.00 100.00 100.00
30 50 70 90 110 130 150 170 190 210 230 250 270 29010
20
30
40
50
60
70
80
90
CURVA TROMP
DesReb
abertura
ED(x
)
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000
10
20
30
40
50
60
70
80
90
100
Curvas de G - G - S
AlimentoDescargaRebose
abertura
%A
cum
. Pas
ante

d50 = 67.00 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.667
fF(d50) = 20.9 n2 = 0.881
fD(d50) = 9.20 n = 58.72fR(d50) = 59.9
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000
10
20
30
40
50
60
70
80
90
100
Curvas de G - G - S
AlimentoDescargaRebose
abertura
%A
cum
. Pas
ante

EVALUACION DEL NIDO DE CICLONES D-10 8' X 10' - III
Alimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+)
20 850 37.96 9.49 9.49 90.51 48.26 12.07 12.07 87.94 0.90 0.23 0.2335 500 78.12 19.53 29.02 70.98 90.77 22.69 34.76 65.24 9.29 2.32 2.5550 300 51.00 12.75 41.77 58.23 60.38 15.10 49.85 50.15 14.45 3.61 6.1670 212 52.60 13.15 54.92 45.08 61.39 15.35 65.20 34.80 32.92 8.23 14.39100 150 47.84 11.96 66.88 33.12 51.24 12.81 78.01 21.99 39.60 9.90 24.29140 105 26.00 6.50 73.38 26.62 26.23 6.56 84.57 15.43 36.89 9.22 33.51200 75 17.64 4.41 77.79 22.21 14.27 3.57 88.14 11.87 28.38 7.10 40.61270 53 9.56 2.39 80.18 19.82 7.16 1.79 89.93 10.08 17.79 4.45 45.06325 45 4.12 1.03 81.21 18.79 2.36 0.59 90.52 9.49 15.17 3.79 48.85400 37 2.68 0.67 81.88 18.12 1.34 0.34 90.85 9.15 9.17 2.29 51.14-400 72.48 18.12 100 0 36.60 9.15 100.00 0 195.44 48.86 100
400 100 400 100 400 100
CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )
TABLA DE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA
20 850 850.00 9.49 0.23 12.07 3.60 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r ) 35 500 651.92 19.53 2.32 22.69 5.44 20 850.00 9.38 0.25 12.1550 300 387.30 12.75 3.61 15.10 3.90 35 651.92 18.57 2.55 23.4370 212 252.19 13.15 8.23 15.35 2.24 50 387.30 12.55 3.66 15.25100 150 150.00 11.96 9.90 12.81 2.42 70 252.19 13.48 8.15 15.09140 105 125.50 6.50 9.22 6.56 -47.35 100 150.00 12.07 9.88 12.73200 75 88.74 4.41 7.10 3.57 3.19 140 125.50 6.91 9.13 6.24270 53 63.05 2.39 4.45 1.79 3.43 200 88.74 4.40 7.10 3.58325 45 48.84 1.03 3.79 0.59 6.28 270 63.05 2.40 4.44 1.78400 37 40.80 0.67 2.29 0.34 4.84 325 48.84 1.22 3.75 0.45-400 0 18.50 18.12 48.86 9.15 3.43 400 40.80 0.74 2.28 0.28
100 100 100 -400 18.50 18.28 48.82 9.03suma 100 51.18 100
Del grafico obtenemos el valor de Jr minimo:
Jr min = 2.178
CC = D/R = r = 3.300
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

D/F = 0.767R/F = 0.233
CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE
% PesoMALLA ABERTURA ABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2 (alim - under) x ( over - under)
20 850 0.00 9.49 0.23 12.07 3.60 -2.58 -11.84 140.19 30.48835 500 651.92 19.53 2.32 22.69 5.44 -3.16 -20.37 414.94 64.4250 300 387.30 12.75 3.61 15.10 3.90 -2.35 -11.48 131.85 26.92670 212 252.19 13.15 8.23 15.35 2.24 -2.20 -7.12 50.66 15.641100 150 178.33 11.96 9.90 12.81 2.42 -0.85 -2.91 8.47 2.474140 105 125.50 6.50 9.22 6.56 -47.35 -0.06 2.67 7.10 -0.153200 75 88.74 4.41 7.10 3.57 3.19 0.84 3.53 12.44 2.972270 53 63.05 2.39 4.45 1.79 3.43 0.60 2.66 7.06 1.595325 45 48.84 1.03 3.79 0.59 6.28 0.44 3.20 10.26 1.409400 37 40.80 0.67 2.29 0.34 4.84 0.34 1.96 3.83 0.656-400 18.12 48.86 9.15 3.43 8.97 39.71 1576.88 356.199
100.00 100.00 100.00 2363.68 502.626
AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r (malla)i Alim over under Alfa = 0.2126
850 0.00 -0.06 -0.03 -0.03 0.01 0.03500 651.92 1.17 0.70 0.70 -0.15 -0.55 F = 1 U =300 387.30 0.10 0.06 0.06 -0.01 -0.05 O =212 252.19 -0.68 -0.41 -0.41 0.09 0.32212 252.19 -0.23 -0.14 -0.14 0.03 0.11 U / O = 3.7027150 178.33 -0.62 -0.37 -0.37 0.08 0.30105 125.50 0.09 0.06 0.06 -0.01 -0.0475 88.74 0.03 0.02 0.02 0.00 -0.02 r = f -alfa * o - (1-alfa )*u53 63.05 -0.24 -0.14 -0.14 0.03 0.11 h = 1.66514545 48.84 -0.08 -0.05 -0.05 0.01 0.0437 40.80 0.53 0.32 0.32 -0.07 -0.25
ANALISIS DE MALLA CORREGIDAABERTURA ABERTURA Alimento Rebose Descarga CC = D/R
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

850 0.00 9.52 0.22 12.04 3.70500 651.92 18.83 2.47 23.25 3.70300 387.30 12.69 3.62 15.14 3.70212 252.19 13.56 8.14 15.02 3.70212 252.19 12.10 9.87 12.70 3.70150 178.33 6.87 9.14 6.26 3.70105 125.50 4.35 7.11 3.61 3.7075 88.74 2.37 4.45 1.81 3.7053 63.05 1.17 3.76 0.48 3.7045 48.84 0.72 2.28 0.30 3.7037 40.80 17.80 48.93 9.40 3.70
CURVA DE PARTICION CORREGIDA
DATOS: LOS % DE SOLIDOS%SF= 70.73 AGUA EN LA DESCARGA = P%SR = 49.08 AGUA EN EL ALIMENTO P = 0.4930%SD = 79.00
ECUACION DE LA CURVA DE PARTICION CORREGIDA :
TABLA DE PARTICION CORREGIDA Y X
MALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)
20 850.00 99.38 98.78 0.62 91.25 0.64 2.9335 651.92 96.81 93.71 3.19 88.22 0.44 2.8150 387.30 93.22 86.63 6.78 80.91 0.30 2.5970 252.19 85.93 72.26 14.07 73.84 0.11 2.40100 150.00 80.97 62.46 19.03 64.62 -0.01 2.18140 125.50 69.29 39.44 30.71 61.40 -0.30 2.10200 88.74 62.45 25.95 37.55 55.19 -0.52 1.95270 63.05 56.95 15.09 43.05 49.27 -0.79 1.80325 48.84 28.26 -41.48 71.74 45.05 0.00 1.69400 40.80 28.79 -40.44 71.21 42.19 0.00 1.61-400 18.50 37.89 -22.49 62.11 31.04 0.00 1.27
Log(ln(1/(1-ED(x)c))
ED=100−100exp [−0 .6931( xd50 )]m
Log[Ln( 11− y )]=Log [ 0 .6931(d50 )m ]+m∗Log (x )
y=a+bxb=m
a=Log[0 .6931(d50 )m ]
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
f(x) = 0.491288693124435 x − 1.05254097647735R² = 0.39108802375739
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))]

Del grafico obtenemos los sgtes datos:
m=b 0.491a= -1.053
d50 corr = 65.800
1.00 1.50 2.00 2.50 3.00 3.50
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
f(x) = 0.491288693124435 x − 1.05254097647735R² = 0.39108802375739
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)Lo
g[Ln
(1/(1
-ED
(x)c
))]
10.00 100.00 1000.00
-50-40-30-20-10
0102030405060708090
100
CURVA DE PARTICION
Curva de Particion
Curva de Particion Cor-regida
Curva de Particion Calcu-lada
ABERTURA
ED(X
)
30 50 70 90 110 130 150 170 190 210 230 250 270 2900
10
20
30
40
50
60
70
80
90
100
CURVA TROMP
DesReb
abertura
ED(x
)

d50 = 58.10d50 Corr = 65.80d50 Calc = 62.09
EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGA
MALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 9.38 90.62 9.38 0.25 99.75 0.25 12.15 87.85 12.1535 652 18.57 72.05 27.95 2.55 97.20 2.80 23.43 64.42 35.5850 387 12.55 59.50 40.50 3.66 93.55 6.45 15.25 49.18 50.8270 252 13.48 46.02 53.98 8.15 85.39 14.61 15.09 34.08 65.92100 150 12.07 33.95 66.05 9.88 75.52 24.48 12.73 21.35 78.65140 125 6.91 27.04 72.96 9.13 66.39 33.61 6.24 15.11 84.89200 89 4.40 22.64 77.36 7.10 59.29 40.71 3.58 11.53 88.47270 63 2.40 20.24 79.76 4.44 54.85 45.15 1.78 9.75 90.25325 49 1.22 19.02 80.98 3.75 51.10 48.90 0.45 9.31 90.69400 41 0.74 18.28 81.72 2.28 48.82 51.18 0.28 9.03 90.97-400 19 18.28 0.00 100.00 48.82 0.00 100.00 9.03 0.00 100.00
100.00 100.00
30 50 70 90 110 130 150 170 190 210 230 250 270 2900
10
20
30
40
50
60
70
80
90
100
CURVA TROMP
DesReb
aberturaED
(x)

d50 = 58.10 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.631
fF(d50) = 20.00 n2 = 0.873
fD(d50) = 9.00 n = 55.12fR(d50) = 54.30
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000
10
20
30
40
50
60
70
80
90
100
Curvas de G - G - S
AlimentoDescarga
Rebose
abertura
%A
cum
. Pas
ante

EVALUACION DEL NIDO DE CICLONES D-10 8' X 10' - III
Rebose (o)F(X) (-)99.7897.4593.8485.6175.7166.4959.3954.9551.1548.86
0
CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )
TABLA CORREGIDASk
0.02530.22290.0461-0.0768-0.0245-0.09590.0031-0.0026-0.0431-0.0170-0.0375
2.00534034E-15

CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE
(alim - under) x ( over - under)30.48864.4226.92615.6412.474-0.1532.9721.5951.4090.656
356.199502.626
0.78740.2126
r = f -alfa * o - (1-alfa )*u1.665145

CURVA DE PARTICION CORREGIDA

EVALUACION DEL NIDO DE CICLONES D-10 8' X 8'
Alimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)
20 850 13.00 3.25 3.25 96.75 35.99 9.00 9.00 91.00 0.25 0.06 0.06 99.9435 500 38.69 9.67 12.9225 87.0775 59.21 14.80 23.80 76.20 1.99 0.50 0.56 99.4450 300 40.55 10.14 23.06 76.94 47.15 11.79 35.59 64.41 3.43 0.86 1.42 98.5870 212 57.52 14.38 37.44 62.56 62.73 15.68 51.27 48.73 13.35 3.34 4.76 95.25100 150 73.53 18.38 55.8225 44.1775 70.82 17.71 68.98 31.03 25.97 6.49 11.25 88.75140 105 55.06 13.77 69.5875 30.4125 48.89 12.22 81.20 18.80 31.95 7.99 19.24 80.77200 75 34.68 8.67 78.2575 21.7425 27.53 6.88 88.08 11.92 33.15 8.29 27.52 72.48270 53 15.31 3.83 82.085 17.915 11.33 2.83 90.91 9.09 25.63 6.41 33.93 66.07325 45 5.13 1.28 83.3675 16.6325 3.59 0.90 91.81 8.19 12.60 3.15 37.08 62.92400 37 3.81 0.95 84.32 15.68 2.54 0.64 92.45 7.56 10.78 2.70 39.78 60.23-400 62.72 15.68 100 0 30.22 7.56 100.00 0 240.90 60.23 100 0
400 100 400 100 400 100
CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )
TABLA DE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA
20 850 850.00 3.25 0.06 9.00 0.55 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r ) Sk35 500 651.92 9.67 0.50 14.80 1.79 20 850.00 5.73 -0.35 6.93 -0.409450 300 387.30 10.14 0.86 11.79 5.62 35 651.92 11.28 0.23 13.46 -0.265170 212 252.19 14.38 3.34 15.68 8.48 50 387.30 10.05 0.87 11.86 0.0150100 150 178.33 18.38 6.49 17.71 -17.55 70 252.19 13.95 3.41 16.04 0.0708140 105 125.50 13.77 7.99 12.22 -3.75 100 178.33 16.91 6.74 18.93 0.2426200 75 88.74 8.67 8.29 6.88 -0.21 140 125.50 12.46 8.20 13.31 0.2150270 53 63.05 3.83 6.41 2.83 2.59 200 88.74 7.77 8.44 7.64 0.1491325 45 48.84 1.28 3.15 0.90 4.85 270 63.05 3.59 6.45 3.03 0.0387400 37 40.80 0.95 2.70 0.64 5.49 325 48.84 1.28 3.15 0.90 0.0012-400 0 18.50 15.68 60.23 7.56 5.48 400 40.80 0.97 2.69 0.62 -0.0022
100 100 100 -400 18.50 16.02 60.17 7.27 -0.0557suma 100 39.83 100 0
Del grafico obtenemos el valor de Jr minimo:
Jr min = 23.671
CC = D/R = r = 5.050
D/F = 0.835
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

R/F = 0.165
CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE
% PesoMALLA ABERTURA ABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2 (alim - under) x ( over - under)
20 850 0.00 9.49 0.06 9.00 -19.14 0.49 -8.94 79.83 -4.400487535 500 651.92 19.53 0.50 14.80 -4.03 4.73 -14.31 204.63 -67.626887550 300 387.30 12.75 0.86 11.79 -12.36 0.96 -10.93 119.46 -10.52012570 212 252.19 13.15 3.34 15.68 3.87 -2.53 -12.35 152.40 31.2637125100 150 178.33 11.96 6.49 17.71 0.95 -5.75 -11.21 125.72 64.4158125140 105 125.50 6.50 7.99 12.22 -0.26 -5.72 -4.24 17.94 24.2347875200 75 88.74 4.41 8.29 6.88 -1.57 -2.47 1.41 1.97 -3.4738625270 53 63.05 2.39 6.41 2.83 -9.08 -0.44 3.58 12.78 -1.5819375325 45 48.84 1.03 3.15 0.90 16.00 0.13 2.25 5.07 0.29845625400 37 40.80 0.67 2.70 0.64 57.86 0.04 2.06 4.24 0.0721000000000001-400 18.12 60.23 7.56 3.99 10.57 52.67 2774.13 556.458549999999
100.00 100.00 100.00 3498.19 589.140118749999
AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r (malla)i Alim over under Alfa = 0.1684
850 0.00 2.00 1.16 1.16 -0.20 -0.97500 651.92 7.14 4.15 4.15 -0.70 -3.45 F = 1 U = 0.8316300 387.30 2.80 1.63 1.63 -0.27 -1.36 O = 0.1684212 252.19 -0.45 -0.26 -0.26 0.04 0.22212 252.19 -3.86 -2.24 -2.24 0.38 1.86 U / O = 4.9378150 178.33 -5.01 -2.91 -2.91 0.49 2.42105 125.50 -2.71 -1.58 -1.58 0.27 1.3175 88.74 -1.04 -0.61 -0.61 0.10 0.51 r = f -alfa * o - (1-alfa )*u53 63.05 -0.25 -0.14 -0.14 0.02 0.12 h = 1.71989945 48.84 -0.31 -0.18 -0.18 0.03 0.1537 40.80 1.69 0.99 0.99 -0.17 -0.82
ANALISIS DE MALLA CORREGIDAABERTURA ABERTURA Alimento Rebose Descarga CC = D/R
850 0.00 8.33 0.26 9.96 4.94500 651.92 15.38 1.20 18.25 4.94300 387.30 11.12 1.13 13.14 4.94212 252.19 13.41 3.29 15.46 4.94
0 2 4 6 8 10 12
0
50
100
150
200
250
300
350
f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252R² = 0.99982800385237

212 252.19 14.20 6.11 15.84 4.94150 178.33 9.41 7.50 9.80 4.94105 125.50 5.99 8.02 5.57 4.9475 88.74 3.00 6.31 2.33 4.9453 63.05 1.17 3.13 0.78 4.9445 48.84 0.85 2.66 0.48 4.9437 40.80 17.13 60.39 8.37 4.94
CURVA DE PARTICION CORREGIDA
DATOS: LOS % DE SOLIDOS%SF= 46.40 AGUA EN LA DESCARGA = P%SR = 25.90 AGUA EN EL ALIMENTO P = 0.2605%SD = 73.50
ECUACION DE LA CURVA DE PARTICION CORREGIDA :
TABLA DE PARTICION CORREGIDA Y X
MALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)
20 850.00 101.00 101.35 0.00 100.00 #NUM! 2.9335 651.92 99.66 99.54 0.34 100.00 0.73 2.8150 387.30 98.56 98.06 1.44 99.73 0.60 2.5970 252.19 95.96 94.54 4.04 97.47 0.46 2.40100 178.33 93.42 91.10 6.58 91.83 0.38 2.25140 125.50 89.12 85.29 10.88 81.69 0.28 2.10200 88.74 82.05 75.72 17.95 68.56 0.15 1.95270 63.05 70.35 59.90 29.65 54.74 -0.04 1.80325 48.84 59.15 44.76 40.85 44.99 -0.23 1.69400 40.80 53.92 37.68 46.08 38.73 -0.33 1.61-400 18.50 37.91 16.03 62.09 18.47 -0.76 1.27
Log(ln(1/(1-ED(x)c))
ED=100−100exp [−0 .6931( xd50 )]m
Log[Ln( 11− y )]=Log [ 0 .6931(d50 )m ]+m∗Log (x )
y=a+bxb=m
a=Log[0 .6931(d50 )m ]
1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
f(x) = 0.951168242648779 x − 1.82101211737217R² = 0.961695802253172
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))
]

Del grafico obtenemos los sgtes datos:
m=b 0.951a= -1.821
d50 corr = 55.854
1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
f(x) = 0.951168242648779 x − 1.82101211737217R² = 0.961695802253172
LINEALIZACION DE LA CURVA DE PARTICION CORREGIDA
Log(x)
Log[
Ln(1
/(1-E
D(x
)c))
]
10.00 100.00 1000.0010
20
30
40
50
60
70
80
90
100
110
CURVA DE PARTICION
Curva de Particion
Curva de Particion Calcu-lada
Curva de Particion Cor-regida
ABERTURA
ED(X
)
10 30 50 70 90 110 130 150 170 190 210 230 250 270 2900
10
20
30
40
50
60
70
80
90
100
CURVA TROMP
DesReb
abertura
ED(x
)

d50 = 35.20d50 Corr = 55.84d50 Calc = 72.38
EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGA
MALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 5.73 94.27 5.73 -0.35 100.35 -0.35 6.93 93.07 6.9335 652 11.28 83.00 17.00 0.23 100.11 -0.11 13.46 79.61 20.3950 387 10.05 72.95 27.05 0.87 99.24 0.76 11.86 67.74 32.2670 252 13.95 59.00 41.00 3.41 95.83 4.17 16.04 51.70 48.30100 178 16.91 42.08 57.92 6.74 89.10 10.90 18.93 32.77 67.23140 125 12.46 29.62 70.38 8.20 80.90 19.10 13.31 19.46 80.54200 89 7.77 21.85 78.15 8.44 72.46 27.54 7.64 11.83 88.17270 63 3.59 18.26 81.74 6.45 66.01 33.99 3.03 8.80 91.20325 49 1.28 16.98 83.02 3.15 62.86 37.14 0.90 7.90 92.10400 41 0.97 16.02 83.98 2.69 60.17 39.83 0.62 7.27 92.73-400 19 16.02 0.00 100.00 60.17 0.00 100.00 7.27 0.00 100.00
100.00 100.00
10 30 50 70 90 110 130 150 170 190 210 230 250 270 2900
10
20
30
40
50
60
70
80
90
100
CURVA TROMP
DesReb
aberturaED
(x)
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
Curvas de G - G - S
AlimentoDescargaRebose
abertura
%Ac
um. P
asan
te

d50 = 35.20 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.618
fF(d50) = 12.30 n2 = 0.899
fD(d50) = 5.50 n = 55.6fR(d50) = 46.00
30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
Curvas de G - G - S
AlimentoDescargaRebose
abertura
%Ac
um. P
asan
te

CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE