Propiedades de los fluidos a 23CDensidad del agua (kg/m3) 997.62Viscosidad del agua (cp) 0.993Densidad del CCl4 (kg/m3) 1595

Clculos del rea de la columnaDimetro de la columna (m) 0.05Area de la columna (m2) 0.0020

Clculo de la porosidad del lechoDensidad aparente de la arena 1.5839Densidad absoluta de la arena 3.2097

0.50650.67001.4925

Granulometra del lechoDimetro de partcula (mm) 0.5125Dimetro de partcula (m) 0.0005125

AscensoMedicin Altura del lecho (cm) Caudal promedio (mL/s)

1 49 20.9 1.152 70 20.9 1.633 90 20.9 2.054 116 20.9 2.595 132 20.9 2.946 157 20.9 3.617 186 20.9 4.158 213 20.9 4.879 230 20.9 5.44

10 250 20.9 5.711 270 21 5.9412 297 21.1 6.8713 321 21.15 7.2214 336 21.8 8.3415 355 27.6 13.4516 380 31.9 20.1217 408 35.8 27.3418 438 41.4 54.919 464 44.7 55.3120 479 46.6 56.1521 497 49.5 58.4822 519 52.8 67.3523 537 54.9 65.75

Porosidad del lecho fijo ()Esfericidad ()Factor de forma ()

P total (mmCCl4)

24 565 58.5 68.7

DescensoMedicin Altura del lecho (cm) Caudal promedio (mL/s)

1 531 49.6 63.532 494 42.3 52.983 468 37.8 51.964 442 34 37.675 407 29.7 31.656 380 26.6 21.137 353 23.8 14.958 318 21.8 9.499 301 21.4 8.06

10 279 21.3 7.4511 259 21.15 6.412 242 21 5.9713 234 20.95 5.5814 227 20.9 5.5715 191 20.9 4.5916 165 20.9 3.6417 142 20.9 3.4618 111 20.9 2.6519 81 20.9 1.9220 52 20.9 1.07

P total (mmCCl4)

Datos adicionalesPeso del lecho (g) 650Altura inicial del lecho (cm) 20.9Dimetro de la columna (cm) 5Gravedad (m/s2) 9.81

Probeta+Agua Probeta+Agua+ArenaPeso (g) 200.1 239.9

Volumen (mL) 51 63.4

AscensoGs (kg/m2.s) Re P columna vaca (mmCCl4)

0.5843 0.3016 0.150.8282 0.4274 0.221.0416 0.5376 0.271.3159 0.6792 0.351.4938 0.7709 0.391.8342 0.9466 0.482.1085 1.0882 0.552.4744 1.2770 0.652.7640 1.4265 0.722.8961 1.4947 0.763.0180 1.5576 0.793.4905 1.8015 0.913.6684 1.8933 0.954.2374 2.1870 1.096.8337 3.5270 1.71

10.2226 5.2760 2.4313.8910 7.1693 3.0927.8937 14.3963 4.5528.1020 14.5038 4.5628.5288 14.7241 4.6029.7127 15.3351 4.7034.2194 17.6610 5.1733.4064 17.2415 5.06

34.9053 18.0151 5.26

DescensoGs (kg/m2.s) Re P columna vaca (mmCCl4)

32.2785 16.6593 4.9426.9182 13.8928 4.4726.4000 13.6254 4.4319.1395 9.8781 3.7916.0808 8.2995 3.4110.7358 5.5409 2.53

7.5958 3.9203 1.884.8217 2.4885 1.244.0951 2.1136 1.063.7852 1.9536 0.983.2517 1.6783 0.853.0333 1.5655 0.792.8351 1.4632 0.742.8300 1.4606 0.742.3321 1.2036 0.611.8494 0.9545 0.491.7580 0.9073 0.461.3464 0.6949 0.350.9755 0.5035 0.260.5436 0.2806 0.14

Datos de la columna vacaP columna vaca (mmCCl4) Caudal promedio (mL/s)

0.85 6.452.01 16.113.27 29.784.12 44.355.03 65.246.33 79.387.36 85.669.73 95.11

AscensoP lecho (mmCCl4) P lecho experimental (Pa) P lecho Leva (Pa)

48.85 286.25 386.3969.78 408.94 547.6789.73 525.82 688.79

115.65 677.76 870.23131.61 771.25 987.82156.52 917.24 1212.94185.45 1086.77 1394.38212.35 1244.45 1636.29229.28 1343.64 1827.81249.24 1460.65 1915.17269.21 1577.67 2005.36296.09 1735.20 2330.37320.05 1875.58 2454.90334.91 1962.66 2922.86353.29 2070.38 5967.84377.57 2212.66 10318.22404.91 2372.92 15735.03433.45 2540.16 36539.17459.44 2692.43 39746.35474.40 2780.13 42065.08492.30 2885.05 46537.02513.83 3011.22 57168.60531.94 3117.30 58030.21

559.74 3280.25 64609.83

DescensoP lecho (mmCCl4) P lecho experimental (Pa) P lecho Leva (Pa)

526.06 3082.88 50657.83489.53 2868.78 36027.85463.57 2716.65 31575.26438.21 2568.06 20590.20403.59 2365.16 15111.80377.47 2212.08 9035.81351.12 2057.65 5720.11316.76 1856.33 3325.90299.94 1757.75 2772.90278.02 1629.28 2551.07258.15 1512.86 2176.09241.21 1413.56 2015.49233.26 1366.97 1879.34226.26 1325.96 1871.49190.39 1115.74 1542.22164.51 964.10 1223.02141.54 829.45 1162.54110.65 648.41 890.39

80.74 473.18 645.1151.86 303.89 359.51

Ascenso% Desviacin P lecho Carman (Pa) % Desviacin P lecho Ergun (Pa)

25.92 347.75 17.69 291.1825.33 492.90 17.03 413.5323.66 619.91 15.18 520.9922.12 783.20 13.46 659.6921.92 889.04 13.25 749.9224.38 1091.65 15.98 923.3522.06 1254.94 13.40 1063.8123.95 1472.66 15.50 1252.0426.49 1645.03 18.32 1401.8323.73 1723.65 15.26 1470.3821.33 1804.82 12.59 1541.1325.54 2097.33 17.27 1797.6523.60 2209.41 15.11 1896.3932.85 2630.58 25.39 2268.0965.31 5371.06 61.45 4725.9378.56 9286.40 76.17 8385.3984.92 14161.53 83.24 13141.4293.05 32885.25 92.28 33653.4993.23 35771.71 92.47 36658.1493.39 37858.57 92.66 38906.7893.80 41883.32 93.11 43380.7694.73 51451.74 94.15 54870.9594.63 52227.19 94.03 55408.69

0 10 20 30 40 50 60 70 80 90 1000.00

2.00

4.00

6.00

8.00

10.00

12.00

f(x) = 0.0000003x^4 - 0.00003x^3 - 0.0002x^2 + 0.1346xR = 1

P Columna vaca vs. Caudal promedio

Caudal promedio (mL/s)

P columna vaca (mmCCl4)

94.92 58148.85 94.36 62284.8323.85 15.39

Descenso% Desviacin P lecho Carman (Pa) % Desviacin P lecho Ergun (Pa)

93.91 45592.04 93.24 48019.0292.04 32425.06 91.15 32967.0691.40 28417.74 90.44 28792.4187.53 18531.18 86.14 17858.9184.35 13600.62 82.61 12823.8275.52 8132.23 72.80 7371.6364.03 5148.10 60.03 4556.4844.19 2993.31 37.98 2592.7536.61 2495.61 29.57 2149.3036.13 2295.96 29.04 1972.5130.48 1958.48 22.75 1675.4529.87 1813.94 22.07 1549.1027.26 1691.40 19.18 1442.1729.15 1684.34 21.28 1436.0927.65 1387.99 19.62 1178.7121.17 1100.72 12.41 931.1328.65 1046.29 20.72 884.4427.18 801.35 19.08 675.1426.65 580.60 18.50 487.6915.47 323.56 6.08 270.8326.35 18.17

Ascenso% Desviacin

1.691.110.932.742.850.662.160.614.150.662.373.471.10

13.4756.1973.6181.9492.4592.6692.8593.3594.5194.37

0 10 20 30 40 50 60 70 80 90 1000.00

2.00

4.00

6.00

8.00

10.00

12.00

f(x) = 0.0000003x^4 - 0.00003x^3 - 0.0002x^2 + 0.1346xR = 1

P Columna vaca vs. Caudal promedio

Caudal promedio (mL/s)

P columna vaca (mmCCl4)

94.731.88

Descenso% Desviacin

93.5891.3090.5685.6281.5669.9954.8428.4018.2217.40

9.708.755.217.675.343.546.223.962.98

12.216.56

Propiedades de los fluidos a 23CDensidad del agua (kg/m3) 997.62Viscosidad del agua (cp) 0.993Densidad del CCl4 (kg/m3) 1595

Clculos del rea de la columnaDimetro de la columna (m) 0.05Area de la columna (m2) 0.0020

Clculo de la porosidad del lechoDensidad aparente de la arena 1.5839Densidad absoluta de la arena 3.2097

0.50650.67001.4925

Granulometra del lechoDimetro de partcula (mm) 0.5125Dimetro de partcula (m) 0.0005125

AscensoMedicin Altura del lecho (cm) Caudal promedio (mL/s)

1 55 20.75 1.352 86 20.75 1.923 119 20.75 2.654 154 20.75 3.355 177 20.75 3.836 207 20.75 4.67 215 20.75 4.928 242 20.75 5.199 258 20.75 5.64

10 291 20.75 6.2511 317 21 6.9212 337 21.2 8.1513 344 21.7 8.9814 394 26.2 19.9315 416 28.4 24.7816 455 31.8 32.6817 478 34 42.6118 506 36.9 41.719 530 39.6 47.5320 563 43 53.01

Descenso

Porosidad del lecho fijo ()Esfericidad ()Factor de forma ()

P total (mmCCl4)

Medicin Altura del lecho (cm) Caudal promedio (mL/s)1 537 40.2 46.112 497 35.6 44.563 492 32.9 35.124 404 29.7 24.155 399 27.5 22.686 378 24.9 18.017 343 22.1 11.758 299 21.5 8.539 226 21.2 5.81

10 158 21 4.3211 76 20.9 1.9712 54 20.9 1.2913 38 20.9 0.8814 18 20.9 0.4

P total (mmCCl4)

Datos adicionalesPeso del lecho (g) 650Altura inicial del lecho (cm) 20.9Dimetro de la columna (cm) 5Gravedad (m/s2) 9.81

Probeta+Agua Probeta+Agua+ArenaPeso (g) 200.1 239.9

Volumen (mL) 51 63.4

AscensoGs (kg/m2.s) Re P columna vaca (mmCCl4)

0.6859 0.3540 0.180.9755 0.5035 0.261.3464 0.6949 0.351.7021 0.8785 0.451.9460 1.0043 0.512.3372 1.2062 0.612.4998 1.2902 0.652.6369 1.3610 0.692.8656 1.4790 0.753.1755 1.6389 0.833.5159 1.8146 0.914.1409 2.1372 1.074.5626 2.3548 1.17

10.1261 5.2262 2.4112.5903 6.4980 2.8716.6041 8.5696 3.4821.6494 11.1735 4.0421.1870 10.9349 4.0024.1492 12.4637 4.2626.9335 13.9007 4.47

Descenso

Gs (kg/m2.s) Re P columna vaca (mmCCl4)23.4277 12.0913 4.2022.6402 11.6849 4.1317.8439 9.2094 3.6412.2702 6.3328 2.8111.5233 5.9473 2.68

9.1506 4.7227 2.225.9700 3.0812 1.514.3339 2.2368 1.122.9520 1.5235 0.772.1949 1.1328 0.581.0009 0.5166 0.260.6554 0.3383 0.170.4471 0.2308 0.120.2032 0.1049 0.05

Datos de la columna vacaP columna vaca (mmCCl4) Caudal promedio (mL/s)

0.85 6.452.01 16.113.27 29.784.12 44.355.03 65.246.33 79.387.36 85.669.73 95.11

AscensoP lecho (mmCCl4) P lecho experimental (Pa) P lecho Leva (Pa)

54.82 321.25 450.3485.74 502.48 640.48

118.65 695.30 884.00153.55 899.86 1117.50176.49 1034.28 1277.62206.39 1209.49 1534.48214.35 1256.13 1641.23241.31 1414.15 1731.30257.25 1507.58 1881.41290.17 1700.50 2084.89316.09 1852.37 2336.21335.93 1968.66 2777.66342.83 2009.07 3132.72391.59 2294.82 8394.50413.13 2421.07 11313.73451.52 2646.04 16706.87473.96 2777.55 23290.37502.00 2941.89 24737.08525.74 3081.02 30258.61558.53 3273.13 36644.79

Descenso

P lecho (mmCCl4) P lecho experimental (Pa) P lecho Leva (Pa)532.80 3122.39 29799.38492.87 2888.37 25502.41488.36 2861.95 18575.33401.19 2351.07 11530.80396.32 2322.56 10026.79375.78 2202.21 7209.40341.49 2001.23 4174.61297.88 1745.69 2948.31225.23 1319.92 1980.15157.42 922.55 1458.44

75.74 443.83 661.9153.83 315.44 433.4337.88 222.00 295.6817.95 105.17 134.40

Ascenso% Desviacin P lecho Carman (Pa) % Desviacin P lecho Ergun (Pa)

28.66 405.30 20.74 339.6521.55 576.43 12.83 484.1921.35 795.60 12.61 670.2919.48 1005.75 10.53 849.7919.05 1149.86 10.05 973.4621.18 1381.03 12.42 1172.8523.46 1477.11 14.96 1256.0818.32 1558.17 9.24 1326.4619.87 1693.27 10.97 1444.1118.44 1876.41 9.37 1604.2620.71 2102.59 11.90 1802.5229.13 2499.90 21.25 2153.7735.87 2819.45 28.74 2437.1872.66 7555.05 69.63 6817.0578.60 10182.35 76.22 9358.6684.16 15036.19 82.40 14231.0088.07 20961.34 86.75 20559.3288.11 22263.37 86.79 21766.2689.82 27232.75 88.69 27174.2391.07 32980.31 90.08 33535.0121.77 13.07

Descenso

0 10 20 30 40 50 60 70 80 90 1000.00

2.00

4.00

6.00

8.00

10.00

12.00

f(x) = 0.0000003x^4 - 0.00003x^3 - 0.0002x^2 + 0.1346xR = 1

P Columna vaca vs. Caudal promedio

Caudal promedio (mL/s)

P columna vaca (mmCCl4)

% Desviacin P lecho Carman (Pa) % Desviacin P lecho Ergun (Pa)89.52 26819.44 88.36 26629.9888.67 22952.17 87.42 22666.8984.59 16717.79 82.88 15963.7579.61 10377.72 77.35 9515.5976.84 9024.11 74.26 8228.5169.45 6488.46 66.06 5811.5352.06 3757.15 46.74 3283.7740.79 2653.48 34.21 2289.5833.34 1782.13 25.94 1520.9536.74 1312.60 29.72 1113.4632.95 595.72 25.50 500.4927.22 390.09 19.14 326.8224.92 266.11 16.58 222.5721.75 120.96 13.05 100.9731.10 23.45

Ascenso% Desviacin

5.423.783.735.896.253.120.006.614.396.002.778.59

17.5766.3474.1381.4186.4986.4888.6690.24

4.71

Descenso

0 10 20 30 40 50 60 70 80 90 1000.00

2.00

4.00

6.00

8.00

10.00

12.00

f(x) = 0.0000003x^4 - 0.00003x^3 - 0.0002x^2 + 0.1346xR = 1

P Columna vaca vs. Caudal promedio

Caudal promedio (mL/s)

P columna vaca (mmCCl4)

% Desviacin88.2787.2682.0775.2971.7762.1139.0623.7613.2217.1511.32

3.480.264.16

10.48

Pimera corridaSegunda corrida