Calculos - Filtracionyauri

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FILTRACION A VACIO A PRESION CONSTANTE FILTRACION A VAC P = 10 cm Hg P = 50 Dato: 2 cm equivale a 0.101 litros Altura Tiempo Volumen dt dV dt/dV Altura Tiempo cm seg litros seg litros seg/litros cm seg 1 13.20 0.05 13.20 0.05 264.00 1 5.8 2 18.10 0.10 4.90 0.05 98.00 2 10.2 3 20.10 0.15 2.00 0.05 40.00 3 13.2 4 23.60 0.20 3.50 0.05 70.00 4 14.5 5 26.10 0.25 2.50 0.05 50.00 5 16.4 6 28.10 0.30 2.00 0.05 40.00 6 19.2 7 31.10 0.35 3.00 0.05 60.00 7 21.2 8 34.60 0.40 3.50 0.05 70.00 8 23.8 9 37.10 0.45 2.50 0.05 50.00 9 26.4 10 39.80 0.50 2.70 0.05 54.00 10 28.9 11 41.90 0.55 2.10 0.05 42.00 11 31.4 12 44.80 0.60 2.90 0.05 58.00 12 34.5 13 47.60 0.65 2.80 0.05 56.00 13 39.2 14 51.90 0.70 4.30 0.05 86.00 14 44.5 15 54.60 0.75 2.70 0.05 54.00 15 46.8 16 58.70 0.80 4.10 0.05 82.00 16 51.2 17 64.00 0.85 5.30 0.05 106.00 17 53.4 18 66.00 0.90 2.00 0.05 40.00 18 57.2 19 71.00 0.95 5.00 0.05 100.00 19 60 20 76.00 1.00 5.00 0.05 100.00 20 64 21 80.00 1.05 4.00 0.05 80.00 21 68 85.00 22 72 23 76 24 79 25 83 26 87 27 92 28 96 29 99 30 104 31 108 32 114 33 118 34 122 35 126 36 132 37 137 38 142 39 147 40 152 41 158 0.00 0.20 0.40 0.60 0.80 1.00 1.20 0.00 50.00 100.00 150.00 200.00 250.00 300.00 f(x) = - 25.0909090909x + 89.9904761905 dt/dV vs Volumen Volumen (litros) dt/dV (seg/litros)

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Calculos en Filtracion

Transcript of Calculos - Filtracionyauri

Page 1: Calculos - Filtracionyauri

FILTRACION A VACIO A PRESION CONSTANTE FILTRACION A VACIO A PRESION CONSTANTE

P = 10 cm Hg P = 50

Dato:2 cm equivale a 0.101 litros

Altura Tiempo Volumen dt dV dt/dV Altura Tiempocm seg litros seg litros seg/litros cm seg1 13.20 0.05 13.20 0.05 264.00 1 5.82 18.10 0.10 4.90 0.05 98.00 2 10.23 20.10 0.15 2.00 0.05 40.00 3 13.24 23.60 0.20 3.50 0.05 70.00 4 14.55 26.10 0.25 2.50 0.05 50.00 5 16.46 28.10 0.30 2.00 0.05 40.00 6 19.27 31.10 0.35 3.00 0.05 60.00 7 21.28 34.60 0.40 3.50 0.05 70.00 8 23.89 37.10 0.45 2.50 0.05 50.00 9 26.4

10 39.80 0.50 2.70 0.05 54.00 10 28.911 41.90 0.55 2.10 0.05 42.00 11 31.412 44.80 0.60 2.90 0.05 58.00 12 34.513 47.60 0.65 2.80 0.05 56.00 13 39.214 51.90 0.70 4.30 0.05 86.00 14 44.515 54.60 0.75 2.70 0.05 54.00 15 46.816 58.70 0.80 4.10 0.05 82.00 16 51.217 64.00 0.85 5.30 0.05 106.00 17 53.418 66.00 0.90 2.00 0.05 40.00 18 57.219 71.00 0.95 5.00 0.05 100.00 19 6020 76.00 1.00 5.00 0.05 100.00 20 6421 80.00 1.05 4.00 0.05 80.00 21 68

85.00 22 7223 7624 7925 8326 8727 9228 9629 9930 10431 10832 11433 11834 12235 12636 13237 13738 14239 14740 15241 158

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

50.00

100.00

150.00

200.00

250.00

300.00

f(x) = - 25.0909090909x + 89.9904761905

dt/dV vs Volumen

Volumen (litros)

dt/

dV

(s

eg

/litr

os

)

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42 16243 16844 17445 180

y=0.07692+109*X 46 18747 19248 20049 20550 210

0.00 0.20 0.40 0.60 0.80 1.00 1.200.00

50.00

100.00

150.00

200.00

250.00

300.00

f(x) = - 25.0909090909x + 89.9904761905

dt/dV vs Volumen

Volumen (litros)d

t/d

V (

se

g/li

tro

s)

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FILTRACION A VACIO A PRESION CONSTANTE

cm Hg

Volumen dt dV dt/dVlitros seg litros seg/litros

0.050 2.50 0.050 50.0000.100 4.40 0.050 88.0000.150 3.00 0.050 60.0000.200 1.30 0.050 26.0000.250 1.90 0.050 38.0000.300 2.80 0.050 56.0000.350 2.00 0.050 40.0000.400 2.60 0.050 52.0000.450 2.60 0.050 52.0000.500 2.50 0.050 50.0000.550 2.50 0.050 50.0000.600 3.10 0.050 62.0000.650 4.70 0.050 94.0000.700 5.30 0.050 106.0000.750 2.30 0.050 46.0000.800 4.40 0.050 88.0000.850 2.20 0.050 44.0000.900 3.80 0.050 76.0000.950 2.80 0.050 56.0001.000 4.00 0.050 80.0001.050 4.00 0.050 80.0001.100 4.00 0.050 80.0001.150 4.00 0.050 80.0001.200 3.00 0.050 60.0001.250 4.00 0.050 80.0001.300 4.00 0.050 80.0001.350 5.00 0.050 100.0001.400 4.00 0.050 80.0001.450 3.00 0.050 60.0001.500 5.00 0.050 100.0001.550 4.00 0.050 80.0001.600 6.00 0.050 120.0001.650 4.00 0.050 80.0001.700 4.00 0.050 80.0001.750 4.00 0.050 80.0001.800 6.00 0.050 120.0001.850 5.00 0.050 100.0001.900 5.00 0.050 100.0001.950 5.00 0.050 100.0002.000 5.00 0.050 100.0002.050 6.00 0.050 120.000

0.000 0.250 0.500 0.750 1.0000.000

30.000

60.000

90.000

f(x) = 36x + 35.2R² = 0.3214285714

dt/dV vs Volumen

Volumen (litros)

dt/

dV

(s

eg

/lit

ros

)

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2.100 4.00 0.050 80.0002.150 6.00 0.050 120.0002.200 6.00 0.050 120.0002.250 6.00 0.050 120.0002.300 7.00 0.050 140.0002.350 5.00 0.050 100.0002.400 8.00 0.050 160.0002.450 5.00 0.050 100.0002.500 5.00 0.050 100.000

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0.000 0.250 0.500 0.750 1.0000.000

30.000

60.000

90.000

f(x) = 36x + 35.2R² = 0.3214285714

dt/dV vs Volumen

Volumen (litros)

dt/

dV

(s

eg

/lit

ros

)

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FILTRACION A VACIO A PRESION CONSTANTE

Altura Tiempo Volumen dt dV dt/dV Altura Tiempocm seg litros seg litros seg/litros cm seg2 20.34 0.101 20.34 0.101 201.386 12 56.654 28.94 0.202 8.60 0.101 85.149 14 63.136 39.34 0.303 10.40 0.101 102.970 16 71.978 43.36 0.404 4.02 0.101 39.802 18 79.94

10 50.11 0.505 6.75 0.101 66.832 20 88.2212 56.65 0.606 6.54 0.101 64.752 22 97.0314 63.13 0.707 6.48 0.101 64.158 24 106.6816 71.97 0.808 8.84 0.101 87.525 26 116.3918 79.94 0.909 7.97 0.101 78.911 28 126.2920 88.22 1.010 8.28 0.101 81.980 30 135.8022 97.03 1.111 8.81 0.101 87.228 32 147.2224 106.68 1.212 9.65 0.101 95.545 34 158.1426 116.39 1.313 9.71 0.101 96.139 36 169.0628 126.29 1.414 9.90 0.101 98.020 38 180.6230 135.80 1.515 9.51 0.101 94.158 40 191.9832 147.22 1.616 11.42 0.101 113.069 42 203.9134 158.14 1.717 10.92 0.101 108.119 44 218.4336 169.06 1.818 10.92 0.101 108.119 46 229.8138 180.62 1.919 11.56 0.101 114.455 48 242.5840 191.98 2.020 11.36 0.101 112.475 50 255.9342 203.91 2.121 11.93 0.101 118.119 52 270.6144 218.43 2.222 14.52 0.101 143.762 54 286.5846 229.81 2.323 11.38 0.101 112.673 56 302.0848 242.58 2.424 12.77 0.101 126.43650 255.93 2.525 13.35 0.101 132.17852 270.61 2.626 14.68 0.101 145.34754 286.58 2.727 15.97 0.101 158.11956 302.08 2.828 15.50 0.101 153.465

0.500 1.000 1.500 2.000 2.500 3.0000.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000

160.000

180.000

f(x) = 36.5305579202x + 45.7445309748R² = 0.9101037272

dt/dV vs Volumen

Volumen (litros)

dt/

dV

(li

tro

s)

0.000 0.500 1.000 1.500 2.000 2.500 3.000

0.000

50.000

100.000

150.000

200.000

250.000

dt/dV vs Volumen

Volum en (litros)

dt/

dV

(s

eg

/lit

ros

)

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Volumen dt dV dt/dVlitros seg litros seg/litros

0.606 6.54 0.101 64.7520.707 6.48 0.101 64.1580.808 8.84 0.101 87.5250.909 7.97 0.101 78.9111.010 8.28 0.101 81.9801.111 8.81 0.101 87.2281.212 9.65 0.101 95.5451.313 9.71 0.101 96.1391.414 9.90 0.101 98.0201.515 9.51 0.101 94.1581.616 11.42 0.101 113.0691.717 10.92 0.101 108.1191.818 10.92 0.101 108.1191.919 11.56 0.101 114.4552.020 11.36 0.101 112.4752.121 11.93 0.101 118.1192.222 14.52 0.101 143.7622.323 11.38 0.101 112.6732.424 12.77 0.101 126.4362.525 13.35 0.101 132.1782.626 14.68 0.101 145.3472.727 15.97 0.101 158.1192.828 15.50 0.101 153.465

0.500 1.000 1.500 2.000 2.500 3.0000.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000

160.000

180.000

f(x) = 36.5305579202x + 45.7445309748R² = 0.9101037272

dt/dV vs Volumen

Volumen (litros)

dt/

dV

(li

tro

s)

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PRESION P = 30.5 cm Hg

DATOS

dP = 30.5000 cm Hg = 40663.3224 PascalD = 22.0000 cm = 0.22 metrosL = 1.9750 cm = 0.01975 metros

W torta hum. = 679.3000 gramos = 0.6793 KgW torta seca = 644.3000 gramos = 0.6443 KgA de filtracion = 380.1336 cm^2 = 0.03801336 m^2d. Torta seca = 0.8582 g/cm^3 = 858.192615 kg/m^3d. del Solido = 2.2000 g/cm^3 = 2200 kg/m^3W del Solido = 1.0000 KgW Suspenc. = 10.0000 Kg

u = 0.0010 Pa.ss = 0.1000E = 0.6099s' = 0.9485

RESISNTENCIA ESPECIFICA

K1 = 5.36E+07 seg/m^6

Calculando la masa por Volumen de filtrado

w =

w = 111.785832 Kg/m^3

= 2.82E+10 metro/Kg

RESISTENCIA DEL MEDIO FILTRANTE

K2 = 48572 seg/m^3

Rm = 7.51E+10 metro^-1

RESUMEN

α=K1×ΔP×A2

×gc

μ×w

α

s×ρ filtrado

1−ss '

α

Rm

Rm=K2×ΔP×A×gc

μ

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cm Hg seg/m^6 seg/metro metro/Kg metro^-1Torta 1 30.50 5.36E+07 48572 2.82E+10 7.508E+010Torta 2 49.50 3.65E+07 45745 3.11E+10 1.148E+011

ΔP K1 K2 α Rm

0.5 1 1.5 2 2.5 340

60

80

100

120

140

160

180

200

f(x) = 36.5305579202x + 45.7445309748

dt/dV vs Volumen

P = 49.5 Linear (P = 49.5) P = 30.5 Linear (P = 30.5)

Volumen (litros)

dt/

dV

(s

eg

/lit

ro)

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PRESION P = 49.5 cm Hg

DATOS

dP = 49.500 cm Hg = 65994.5724 PascalD = 22.000 cm = 0.22 metrosL = 1.900 cm = 0.019 metros

W torta hum. = 758.300 gramos = 0.7583 KgW torta seca = 707.300 gramos = 0.7073 KgA de filtracion = 380.134 cm^2 = 0.03801336 m^2d. Torta seca = 0.979 g/cm^3 = 979.295589 kg/m^3d. del Solido = 2.200 g/cm^3 = 2200 kg/m^3W del Solido = 1.000 KgW Suspenc. = 10.000 Kg

u = 0.001 Pa.ss = 0.100E = 0.555s' = 0.933

RESISNTENCIA ESPECIFICA

K1 = 3.65E+07 seg/m^6

Calculando la masa por Volumen de filtrado

w =

w = 112.008488 Kg/m^3

= 3.11E+10 metro/Kg

RESISTENCIA DEL MEDIO FILTRANTE

K2 = 45745 seg/m^3

Rm = 1.15E+11 metro^-1

α=K1×ΔP×A2×gc

μ×w

α

s×ρ filtrado

1−ss '

α

Rm

Rm=K2×ΔP×A×gc

μ

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FIJATE LOS VALORES DE K1 Y K2CON, LOS DE LA ECUACION DE ESTA GRAFICA

0.5 1 1.5 2 2.5 340

60

80

100

120

140

160

180

200

f(x) = 36.5305579202x + 45.7445309748

dt/dV vs Volumen

P = 49.5 Linear (P = 49.5) P = 30.5 Linear (P = 30.5)

Volumen (litros)

dt/

dV

(s

eg

/lit

ro)

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CALCULO DEL FACTOR DE COMPRESIBILIDAD

TORTA 1 40663.3224 2.816E+10 4.6092 10.44962 65994.5724 3.110E+10 4.8195 10.4928

GRAFICA

Del grafico tenemos :

factor de Compresibilidad = 0.2052 Torta Compresible

= 3.19E+09

P log P log

4.6000 4.6500 4.7000 4.7500 4.8000 4.850010.4200

10.4300

10.4400

10.4500

10.4600

10.4700

10.4800

10.4900

10.5000

f(x) = 0.2052100905x + 9.5037796442

log(alfa) vs log(P)

log(P)

log

(alf

a)

αo

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4.6000 4.6500 4.7000 4.7500 4.8000 4.850010.4200

10.4300

10.4400

10.4500

10.4600

10.4700

10.4800

10.4900

10.5000

f(x) = 0.2052100905x + 9.5037796442

log(alfa) vs log(P)

log(P)

log

(alf

a)

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PRESION P = 20 cm Hg

DATOS

dP = 20.00 cm Hg = 26664.474 PascalD = 22.00 cm = 0.220 metrosL = 0.50 cm = 0.005 metros

W torta hum. = 297.00 gramos = 0.297 KgW torta seca = 247.00 gramos = 0.247 KgA de filtracion = 380.13 cm^2 = 0.038 m^2d. Torta seca = 1.30 g/cm^3 = 1299.543 kg/m^3d. del Solido = 2.20 g/cm^3 = 2200.000 kg/m^3W del Solido = 1.00 KgW Suspenc. = 10.00 Kg

u = 0.00 Pa.ss = 0.10E = 0.41s' = 0.83

RESISNTENCIA ESPECIFICA

K1 = 1.09E+08 seg/m^6

Calculando la masa por Volumen de filtrado

w =

w = 113.6677 Kg/m^3

= 3.69E+10 metro/Kg

RESISTENCIA DEL MEDIO FILTRANTE

K2 = 76920 seg/m^3

Rm = 7.80E+10 metro^-1

RESUMEN

cm Hg seg/m^6 seg/metro metro/Kg metro^-1Torta 1 20.00 1.09E+08 76920 3.69E+10 7.797E+010

α=K1×ΔP×A2

×gc

μ×w

α

s×ρ filtrado

1−ss '

Rm

Rm=K2×ΔP×A×gc

μ

ΔP K1 K2 α Rm

Page 18: Calculos - Filtracionyauri

Torta 2 50.00 2.21E+06 90481 1.88E+09 2.293E+011

0.500 1.000 1.500 2.000 2.500 3.00040.000

60.000

80.000

100.000

120.000

140.000

160.000

180.000

dt/dV vs Volumen

P = 49.5 Linear (P = 49.5) P = 30.5 Linear (P = 30.5)

Volumen (litros)

dt/

dV

(se

g/l

itro

)

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PRESION P = 50 cm Hg CALCULO DEL FACTOR DE COMPRESIBILIDAD

DATOS TORTA1

dP = 50.00 cm Hg = 66661 Pascal 2D = 22.00 cm = 0.22 metrosL = 0.60 cm = 0.006 metros GRAFICA

W torta hum. = 392.00 gramos = 0.392 KgW torta seca = 342.00 gramos = 0.342 KgA de filtracion = 380.13 cm^2 = 0.03801 m^2d. Torta seca = 1.50 g/cm^3 = 1499.47 kg/m^3d. del Solido = 2.20 g/cm^3 = 2200 kg/m^3W del Solido = 1.00 KgW Suspenc. = 10.00 Kg

u = 0.00 Pa.ss = 0.10E = 0.32s' = 0.87

RESISNTENCIA ESPECIFICA

K1 = 2.21E+06 seg/m^6

Calculando la masa por Volumen de filtrado

w =

w = 112.9458 Kg/m^3Del grafico tenemos :

factor de Compresibilidad =

= 1.88E+09 metro/Kg

RESISTENCIA DEL MEDIO FILTRANTE

K2 = 90481 seg/m^3

Rm = 2.29E+11 metro^-1

α=K1×ΔP×A2×gc

μ×w

α

s×ρ filtrado

1−ss '

α

Rm

Rm=K2×ΔP×A×gc

μ

4.6000 4.6500 4.7000 4.7500 4.8000 4.85000.0000

1.0000

2.0000

3.0000

4.0000

5.0000

6.0000

7.0000

8.0000

9.0000

10.0000f(x) = - 3.2496683575x + 24.9504092779

log(alfa) vs log(P)

log(P)lo

g(a

lfa

)

Page 20: Calculos - Filtracionyauri

0.500 1.000 1.500 2.000 2.500 3.00040.000

60.000

80.000

100.000

120.000

140.000

160.000

180.000

dt/dV vs Volumen

P = 49.5 Linear (P = 49.5) P = 30.5 Linear (P = 30.5)

Volumen (litros)

dt/

dV

(se

g/l

itro

)

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CALCULO DEL FACTOR DE COMPRESIBILIDAD

26664.47368 3.695E+10 4.4259 10.567666661.18421 1.881E+09 4.8239 9.2744

Del grafico tenemos :

factor de Compresibilidad = -3.2497 Torta Compresible

= 3.19E+09

P log P log

4.6000 4.6500 4.7000 4.7500 4.8000 4.85000.0000

1.0000

2.0000

3.0000

4.0000

5.0000

6.0000

7.0000

8.0000

9.0000

10.0000f(x) = - 3.2496683575x + 24.9504092779

log(alfa) vs log(P)

log(P)

log

(alf

a)

αo

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