calculo ciclon

38
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) (+) 20 850 37.96 9.49 9.49 90.51 43.54 10.89 10.89 89.12 0.75 0.19 0.19 35 500 78.12 19.53 29.02 70.98 89.26 22.32 33.20 66.80 7.87 1.97 2.16 50 300 51.00 12.75 41.77 58.23 63.66 15.92 49.12 50.89 12.51 3.13 5.28 70 212 52.60 13.15 54.92 45.08 61.69 15.42 64.54 35.46 23.20 5.80 11.08 100 150 47.84 11.96 66.88 33.12 51.84 12.96 77.50 22.50 32.06 8.02 19.10 140 105 26.00 6.50 73.38 26.62 27.46 6.87 84.36 15.64 33.36 8.34 27.44 200 75 17.64 4.41 77.79 22.21 15.13 3.78 88.15 11.86 30.88 7.72 35.16 270 53 9.56 2.39 80.18 19.82 7.00 1.75 89.90 10.11 23.35 5.84 41.00 325 45 4.12 1.03 81.21 18.79 2.57 0.64 90.54 9.46 12.10 3.03 44.02 400 37 2.68 0.67 81.88 18.12 1.50 0.38 90.91 9.09 8.90 2.23 46.25 -400 72.48 18.12 100 0 36.35 9.09 100.00 0 215.02 53.76 100 400 100 400 100 400 100 CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS ) TABLA DE DATOS MALLA 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 (x)+Sk* ( r 35 500 651.92 19.53 1.97 22.32 6.31 20 850.00 9.23 0.23 11.10 50 300 387.30 12.75 3.13 15.92 3.04 35 651.92 19.11 2.04 22.66 70 212 252.19 13.15 5.80 15.42 3.23 50 387.30 13.31 3.03 15.45 100 150 178.33 11.96 8.02 12.96 3.95 70 252.19 13.51 5.74 15.13 140 105 125.50 6.50 8.34 6.87 -5.04 100 178.33 12.05 8.00 12.89 200 75 88.74 4.41 7.72 3.78 5.27 140 125.50 6.86 8.28 6.57 270 53 63.05 2.39 5.84 1.75 5.39 200 88.74 4.44 7.71 3.76 325 45 48.84 1.03 3.03 0.64 5.15 270 63.05 2.43 5.83 1.72 400 37 40.80 0.67 2.23 0.38 5.27 325 48.84 1.04 3.02 0.63 -400 0 18.50 18.12 53.76 9.09 3.95 400 40.80 0.68 2.22 0.36 100 100 100 -400 18.50 17.34 53.89 9.73 suma 100 46.11 100 Del grafico obtenemos el valor de Jr minimo: Jr min = 2.455 CC = D/R = r = 4.800 150 200 250 300 350 f(x) = 0.0234736 x⁶ − 0.856718 x⁵ + 12.6238 x⁴ − 96.3487 x³ + 404.595 x² − 898.074 x + 863.252 R² = 0.99982800385237

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Page 1: 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

Page 2: Calculo Ciclon

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

Page 3: Calculo Ciclon

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))]

Page 4: Calculo Ciclon

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

)

Page 5: Calculo Ciclon

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

Page 6: Calculo Ciclon

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

Page 7: Calculo Ciclon

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

Page 8: Calculo Ciclon

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

Page 9: Calculo Ciclon

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))

]

Page 10: Calculo Ciclon

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

)

Page 11: Calculo Ciclon

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

Page 12: Calculo Ciclon

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

Page 13: Calculo Ciclon

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

Page 14: Calculo Ciclon

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

Page 15: Calculo Ciclon

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))]

Page 16: Calculo Ciclon

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

)

Page 17: Calculo Ciclon

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)

Page 18: Calculo Ciclon

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

Page 19: Calculo Ciclon

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

Page 20: Calculo Ciclon

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

Page 21: Calculo Ciclon

CURVA DE PARTICION CORREGIDA

Page 22: Calculo Ciclon

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

Page 23: Calculo Ciclon

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

Page 24: Calculo Ciclon

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))

]

Page 25: Calculo Ciclon

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

)

Page 26: Calculo Ciclon

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

Page 27: Calculo Ciclon

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

Page 28: Calculo Ciclon

CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE