filtracion c&t - método de ruth
DESCRIPTION
metodo de ruthTRANSCRIPT
datos experimentalesFILTRACIN 1RA CORRIDA2DA CORRIDA3RA
CORRIDA17 psi y 23C35 psi y 27C52 psi y 30CVaso 4Vaco28.8095Vaso
2Vaco28.107Vaso 5Vaco30.2156+Suspensin inicial71.7942+Suspensin
final65.8409+Suspensin
final60.3985+Slidos30.3443+Slidos28.4385+Slidos30.4229Vaso
3Vaco28.5675Vaso 8Vaco32.7003Vaso 6Vaco65.425+Suspensin
final66.9+Torta hmeda72.2803+Torta
hmeda111.7349+Slidos29.4295+Torta seca64.6241+Torta
seca102.3483Vaso 1Vaco28.5875+Torta hmeda70.9831+Torta
seca62.3232Intervalo t(s)t(s)V(mL)Intervalo t(s)t(s)V(mL)Intervalo
t(s)t(s)V(mL)28.728.797020.320.39704.04.0960106.978.297531.811.5100011.37.3960144.637.791038.76.994020.18.81000226.581.994050.311.6100030.110.0980313.687.1950103.453.193041.311.21000403.589.9970117.313.994052.210.9950453.750.2910134.817.5955108.356.1980550.296.5975154.519.7985121.212.91020647.397.1930215.961.4990137.416.21040754.6107.3970238.522.6970152.715.3900859.7105.1940303.965.4980210.557.89401006.5146.8925330.326.4970230.620.19401180.9174.4960358.428.1970248.918.39501238.557.6960427.869.4950311.362.49801401.2162.7970500.472.6980334.523.29301528.1126.9960531.531.1925359.024.59901701.5173.4970603.572.0920424.565.510001836.5135.0930635.832.3980452.427.99502021.9185.4960713.878.0980519.366.99302210.7188.8935752.939.1960546.527.29202409.3198.6950834.381.4960615.368.89102620.5211.2955914.980.6960646.230.99302847.8227.3955957.342.4930719.573.39753135.6287.89601046.589.2960754.935.49703458.2322.69601138.692.1930825.470.59403930.2472.09601230.692.0930858.032.69354435.6505.46801331.8101.2980936.478.49601434.5102.79601016.580.19701542.5108.09301100.483.910001659.4116.910001148.548.19701820.7161.39501232.684.19501953.2132.59551320.487.89502141.5188.39351411.991.59402422.6281.19601505.994.09302743.4320.86501605.499.59451710.6105.29801824.5113.99501948.7124.29802126.5177.89002410.4283.99602705.3294.9500
17 psi METODO DE RUTH - METODO DIFERENCIALP=17 lb/pulg2t
AcumuladoVolumen(L)V
(L)tt/V28.70.9700.97028.729.59106.91.9450.97578.280.21144.62.8550.91037.741.43226.53.7950.94081.987.13313.64.7450.95087.191.68403.55.7150.97089.992.68453.76.6250.91050.255.16550.27.6000.97596.598.97647.38.5300.93097.1104.41754.69.5000.970107.3110.62859.710.4400.940105.1111.811006.511.3650.925146.8158.701180.912.3250.960174.4181.671238.513.2850.96057.660.001401.214.2550.970162.7167.731528.115.2150.960126.9132.191701.516.1850.970173.4178.761836.517.1150.930135.0145.162021.918.0750.960185.4193.132210.719.0100.935188.8201.932409.319.9600.950198.6209.052620.520.9150.955211.2221.152847.821.8700.955227.3238.013135.622.8300.960287.8299.79(aqu)3458.223.7900.960322.6336.043930.224.7500.960472.0491.674435.625.4300.680505.4743.24Datos
experimentalesVaso 4Vaco28.8095Suspensin InicialPeso de
Solidos1.5348Caracteristicas de Filtracinpresion (psi)17+Suspensin
inicial71.7942Peso de Agua41.4499N de Marcos1temperatura
(C)23+Slidos30.3443mf (solidos/suspension)0.0357Suspensin
InicialSuspensin FinalPromedioLargo (m)0.152Vaso
3Vaco28.5675Suspensin FinalPeso de Solidos0.862Concentracion de
slidos corregida, Cm ( Kg/m3 )37.292323.085230.1888Ancho
(m)0.152Propiedades Fisicas a 23 C+Suspensin final66.9Peso de
Agua37.4705Radio de la Esquina0.025Densidad del Agua
(Kg/m3)997.57+Slidos29.4295mf (solidos/suspension)0.0225Altura
(m)0.012Viscocidad del Agua (Kg/m.s)0.0009358Vaso
1Vaco28.5875TortaTorta Hmeda42.3956mf
(solidos/suspension)0.03570.02250.0291rea Efectiva
(m2)0.0211Densidad del CaCO3 (Kg/m3)2700+Torta hmeda70.9831Torta
Seca33.7357rea Total (m2)0.0423+Torta seca62.3232m (torta humeda/
torta seca)1.2567Para filtracin a Presin Constante :De la grfica se
obtienen los valores :Por las ecuaciones de Ruth se tiene
:Resistencia Especifica de la TortaResistencia del Medio
filtrantePorosidad de la torta :Densidad de la torta seca
(pts):entiendase como lecho ( solido + interticios)Volumen de
Suspensin Requerido :Volumen del Marco (m3)0.00025Solidos en la
Torta (Kg)0.4041Peso Suspensin Alimentada (Kg)13.8890Densidad de la
Suspensin (Kg/m3)1,016.2Volumen de Suspensin (m3)0.01367Volumen de
Filtrado Obtenido :Volumen de Filtrado (m3)0.01328Velocidad
Promedio de Filtracin :Velocidad de Filtracin (m3/h)0.022Tiempo de
Filtracin :Tiempo de filtracin (s)2,131.57Tiempo de filtracin
(min)35.53P=17lb/plg20.971.94499999999999982.8553.79499999999999994.74500000000000015.71499999999999997.68.52999999999999949.510.4411.36512.32499999999999914.25500000000000116.18499999999999918.07499999999999919.00999999999999819.95999999999999720.91499999999999621.86999999999999422.82999999999999529.58762886597938380.20512820512820441.42857142857141687.12765957446809891.68421052631582392.68041237113399798.974358974359035104.40860215053753110.618556701031111.8085106382979158.70270270270265181.66666666666677167.73195876288665178.76288659793823193.12500000000011201.92513368983927209.05263157894777221.15183246073281238.01047120418869299.7916666666664Curva21.86999999999999422.82999999999999523.78999999999999624.74999999999999625.429999999999996238.01047120418869299.7916666666664336.04166666666657491.66666666666669743.23529411764775
V(L)
t/V
35 psiMETODO DE RUTH - METODO DIFERENCIALP=35 lb/pulg2t
AcumuladoVolumen(L)Vtt/V20.30.9700.97020.320.9331.81.9701.00011.511.5038.72.9100.9406.97.3450.33.9101.00011.611.60103.44.8400.93053.157.10117.35.7800.94013.914.79134.86.7350.95517.518.32154.57.7200.98519.720.00215.98.7100.99061.462.02238.59.6800.97022.623.30303.910.6600.98065.466.73330.311.6300.97026.427.22358.412.6000.97028.128.97427.813.5500.95069.473.05500.414.5300.98072.674.08531.515.4550.92531.133.62603.516.3750.92072.078.26635.817.3550.98032.332.96713.818.3350.98078.079.59752.919.2950.96039.140.73834.320.2550.96081.484.79914.921.2150.96080.683.96957.322.1450.93042.445.591046.523.1050.96089.292.921138.624.0350.93092.199.031230.624.9650.93092.098.921331.825.9450.980101.2103.271434.526.9050.960102.7106.981542.527.8350.930108.0116.131659.428.8351.000116.9116.901820.729.7850.950161.3169.791953.230.7400.955132.5138.74(aqu)2141.531.6750.935188.3201.392422.632.6350.960281.1292.812743.433.2850.650320.8493.54Datos
experimentalesVaso 3Vaco28.5675Suspensin InicialPeso de
Solidos0.862Caracteristicas de Filtracinpresion (psi)35+Suspensin
inicial66.9Peso de Agua37.4705N de Marcos1temperatura
(C)27+Slidos29.4295mf (solidos/suspension)0.0225Suspensin
InicialSuspensin FinalPromedioLargo (m)0.152Vaso
2Vaco28.107Suspensin FinalPeso de Solidos0.3315Concentracion de
slidos corregida, Cm ( Kg/m3 )23.05268.851315.9519Ancho
(m)0.152Propiedades Fisicas a 27 C+Suspensin final65.8409Peso de
Agua37.4024Radio de la Esquina0.025Densidad del Agua
(Kg/m3)996.55+Slidos28.4385mf (solidos/suspension)0.0088Altura
(m)0.012Viscocidad del Agua (Kg/m.s)0.0008545Vaso
8Vaco32.7003TortaTorta Hmeda39.58mf
(solidos/suspension)0.02250.00880.0156rea Efectiva
(m2)0.0211Densidad del CaCO3 (Kg/m3)2700+Torta hmeda72.2803Torta
Seca31.9238rea Total (m2)0.0423+Torta seca64.6241m (torta humeda/
torta seca)1.2398Para filtracin a Presin Constante :De la grfica se
obtienen los valores :Por las ecuaciones de Ruth se tiene
:Resistencia Especifica de la TortaResistencia del Medio
filtrantePorosidad de la torta :Densidad de la torta seca
(pts):entiendase como lecho ( solido + interticios)Volumen de
Suspensin Requerido :Volumen del Marco (m3)0.00025Solidos en la
Torta (Kg)0.4178Peso Suspensin Alimentada (Kg)26.7212Densidad de la
Suspensin (Kg/m3)1,006.5Volumen de Suspensin (m3)0.02655Volumen de
Filtrado Obtenido :Volumen de Filtrado (m3)0.02609Velocidad
Promedio de Filtracin :Velocidad de Filtracin (m3/h)0.033Tiempo de
Filtracin :Tiempo de filtracin (s)2,854.70Tiempo de filtracin
(min)47.58P=35lb/plg20.978.709999999999999110.6613.5514.53000000000000116.37500000000000418.33500000000000420.25500000000000621.21500000000000723.10500000000000824.03500000000000724.96500000000000725.94500000000000726.90500000000000827.83500000000000828.83500000000000830.74000000000000620.92783505154639262.02020202020202866.73469387755099573.05263157894741374.08163265306119278.26086956521739179.59183673469388584.79166666666664383.95833333333335792.91666666666671499.03225806451602998.924731182795696103.26530612244903106.97916666666671116.12903225806451116.90000000000009138.743455497382230.74000000000000631.67500000000000432.63500000000000533.285000000000004138.7434554973822201.39037433155073292.81249999999994493.53846153846177
V(L)
t/V
52 psiMETODO DE RUTH - METODO DIFERENCIALP=52 lb/pulg2t
AcumuladoVolumen(L)Vtt/V4.00.9600.9604.04.1711.31.9200.9607.37.6020.12.9201.0008.88.8030.13.9000.98010.010.2041.34.9001.00011.211.2052.25.8500.95010.911.47108.36.8300.98056.157.24121.27.8501.02012.912.65137.48.8901.04016.215.58152.79.7900.90015.317.00210.510.7300.94057.861.49230.611.6700.94020.121.38248.912.6200.95018.319.26311.313.6000.98062.463.67334.514.5300.93023.224.95359.015.5200.99024.524.75424.516.5201.00065.565.50452.417.4700.95027.929.37519.318.4000.93066.971.94546.519.3200.92027.229.57615.320.2300.91068.875.60646.221.1600.93030.933.23719.522.1350.97573.375.18754.923.1050.97035.436.49825.424.0450.94070.575.00858.024.9800.93532.634.87936.425.9400.96078.481.671016.526.9100.97080.182.581100.427.9101.00083.983.901148.528.8800.97048.149.591232.629.8300.95084.188.531320.430.7800.95087.892.421411.931.7200.94091.597.341505.932.6500.93094.0101.081605.433.5950.94599.5105.291710.634.5750.980105.2107.351824.535.5250.950113.9119.891948.736.5050.980124.2126.73(aqu)2126.537.4050.900177.8197.562410.438.3650.960283.9295.732705.338.8650.500294.9589.80Datos
experimentalesVaso 2Vaco28.107Suspensin InicialPeso de
Solidos0.3315Caracteristicas de Filtracinpresion (psi)52+Suspensin
inicial65.8409Peso de Agua37.4024N de Marcos1temperatura
(C)30+Slidos28.4385mf (solidos/suspension)0.0088Suspensin
InicialSuspensin FinalPromedioLargo (m)0.152Vaso
5Vaco30.2156Suspensin FinalPeso de Solidos0.2073Concentracion de
slidos corregida, Cm ( Kg/m3 )8.84476.89797.8713Ancho
(m)0.152Propiedades Fisicas a 30 C+Suspensin final60.3985Peso de
Agua29.9756Radio de la Esquina0.025Densidad del Agua
(Kg/m3)995.68+Slidos30.4229mf (solidos/suspension)0.0069Altura
(m)0.012Viscocidad del Agua (Kg/m.s)0.0008007Vaso
6Vaco65.425TortaTorta Hmeda46.3099mf
(solidos/suspension)0.00880.00690.0078rea Efectiva
(m2)0.0211Densidad del CaCO3 (Kg/m3)2700+Torta hmeda111.7349Torta
Seca36.9233rea Total (m2)0.0423+Torta seca102.3483m (torta humeda/
torta seca)1.2542Para filtracin a Presin Constante :De la grfica se
obtienen los valores :Por las ecuaciones de Ruth se tiene
:Resistencia Especifica de la TortaResistencia del Medio
filtrantePorosidad de la torta :Densidad de la torta seca
(pts):entiendase como lecho ( solido + interticios)Volumen de
Suspensin Requerido :Volumen del Marco (m3)0.00025Solidos en la
Torta (Kg)0.4041Peso Suspensin Alimentada (Kg)51.6340Densidad de la
Suspensin (Kg/m3)1,000.6Volumen de Suspensin (m3)0.05160Volumen de
Filtrado Obtenido :Volumen de Filtrado (m3)0.05124Velocidad
Promedio de Filtracin :Velocidad de Filtracin (m3/h)0.023Tiempo de
Filtracin :Tiempo de filtracin (s)8,070.97Tiempo de filtracin
(min)134.52P=52lb/plg24.90000000000000045.850000000000000510.7313.616.5218.39999999999999920.2322.13500000000000224.04500000000000225.9426.9127.9129.8330.77999999999999831.7232.6533.59499999999999934.57499999999999635.52499999999999936.50499999999999511.47368421052632211.47368421052632211.19999999999999611.47368421052632211.19999999999999611.47368421052632211.19999999999999611.47368421052632261.48936170212767463.67346938775511265.571.93548387096771575.60439560439554975.179487179487147581.66666666666664382.57731958762889283.90000000000009188.526315789473692.42105263157914497.340425531914903101.07526881720429105.29100529100529107.34693877551003119.89473684210536126.7346938775510736.50499999999999537.40499999999999438.36499999999999538.864999999999995126.73469387755107197.55555555555549295.7291666666668589.80000000000018
V(L)
t/V
compresibilidadMETODO DE RUTH - METODO DIFERENCIALP (psi)P
(Pa) (m/Kg)LOG PLOG
17117,2101.4110E+115.069011.149535241,3152.3790E+115.382611.376452358,5245.8270E+115.554511.7654De
la grfican1.2019Log 05.018001.0423E+05PorosidadP
(psi)porosidad170.41350.39520.415.06896429541747215.38258341838947365.554518717673997411.14952701375434811.37639444203726711.76544501809015
LOG(P)
LOG
1735520.410.390.41P(kPa)
comparacinMETODO DE RUTH - METODO
DIFERENCIALP=17lb/pulg2P=35lb/pulg2P=52lb/pulg2t
AcumuladoVolumen(L)V (L)tt/Vt AcumuladoVolumen(L)Vtt/Vt
AcumuladoVolumen(L)Vtt/V28.70.9700.97028.729.5920.30.9700.97020.320.934.00.9600.9604.04.17106.91.9450.97578.280.2131.81.9701.00011.511.5011.31.9200.9607.37.60144.62.8550.91037.741.4338.72.9100.9406.97.3420.12.9201.0008.88.80226.53.7950.94081.987.1350.33.9101.00011.611.6030.13.9000.98010.010.20313.64.7450.95087.191.68103.44.8400.93053.157.1041.34.9001.00011.211.20403.55.7150.97089.992.68117.35.7800.94013.914.7952.25.8500.95010.911.47453.76.6250.91050.255.16134.86.7350.95517.518.32108.36.8300.98056.157.24550.27.6000.97596.598.97154.57.7200.98519.720.00121.27.8501.02012.912.65647.38.5300.93097.1104.41215.98.7100.99061.462.02137.48.8901.04016.215.58754.69.5000.970107.3110.62238.59.6800.97022.623.30152.79.7900.90015.317.00859.710.4400.940105.1111.81303.910.6600.98065.466.73210.510.7300.94057.861.491006.511.3650.925146.8158.70330.311.6300.97026.427.22230.611.6700.94020.121.381180.912.3250.960174.4181.67358.412.6000.97028.128.97248.912.6200.95018.319.261238.513.2850.96057.660.00427.813.5500.95069.473.05311.313.6000.98062.463.671401.214.2550.970162.7167.73500.414.5300.98072.674.08334.514.5300.93023.224.951528.115.2150.960126.9132.19531.515.4550.92531.133.62359.015.5200.99024.524.751701.516.1850.970173.4178.76603.516.3750.92072.078.26424.516.5201.00065.565.501836.517.1150.930135.0145.16635.817.3550.98032.332.96452.417.4700.95027.929.372021.918.0750.960185.4193.13713.818.3350.98078.079.59519.318.4000.93066.971.942210.719.0100.935188.8201.93752.919.2950.96039.140.73546.519.3200.92027.229.572409.319.9600.950198.6209.05834.320.2550.96081.484.79615.320.2300.91068.875.602620.520.9150.955211.2221.15914.921.2150.96080.683.96646.221.1600.93030.933.232847.821.8700.955227.3238.01(aqu)957.322.1450.93042.445.59719.522.1350.97573.375.183135.622.8300.960287.8299.791046.523.1050.96089.292.92754.923.1050.97035.436.493458.223.7900.960322.6336.041138.624.0350.93092.199.03825.424.0450.94070.575.003930.224.7500.960472.0491.671230.624.9650.93092.098.92858.024.9800.93532.634.874435.625.4300.680505.4743.241331.825.9450.980101.2103.27936.425.9400.96078.481.671434.526.9050.960102.7106.981016.526.9100.97080.182.581542.527.8350.930108.0116.131100.427.9101.00083.983.901659.428.8351.000116.9116.901148.528.8800.97048.149.591820.729.7850.950161.3169.791232.629.8300.95084.188.531953.230.7400.955132.5138.74(aqu)1320.430.7800.95087.892.422141.531.6750.935188.3201.391411.931.7200.94091.597.342422.632.6350.960281.1292.811505.932.6500.93094.0101.082743.433.2850.650320.8493.541605.433.5950.94599.5105.291710.634.5750.980105.2107.351824.535.5250.950113.9119.891948.736.5050.980124.2126.73(aqu)2126.537.4050.900177.8197.562410.438.3650.960283.9295.732705.338.8650.500294.9589.8017
psi35 psi52 psipromedioPeso de Filtrado LbTiempo de filtracin,
minPresin de filtracin, lbs/pulg2Concentracion de slidos corregida,
Cm ( Kg/m3
)30.188815.95197.871318.00401020308.03.172.681.9214.67.666.124.22Volumen
del Marco
(m3)0.000250.000250.0002521.212.7510.107.1727.820.5015.1210.6334.429.2521.1214.83Solidos
en la Torta
(Kg)0.40410.41780.40410.408741.039.8027.8919.5041.652.1035.1824.9754.265.3043.8542.11Peso
Suspensin Alimentada
(Kg)13.889026.721251.634060.880.5053.87-------67.498.5066.66-------74.0124.70--------------Densidad
de la Suspensin (Kg/m3)1,016.21,006.51,000.6Nmero de
Malla325Dimetro de la partcula (mm)44Concentracin2%Volumen de
Suspensin (m3)0.013670.026550.05160Presin(psi)Presin(Kgf/m2)Caudal
Promedio(Kg/s)Volumen de Filtrado (m3)0.013280.026090.05124Tesis
Pedro Torres Arias3021110.709.73E-032014073.807.64E-03Velocidad de
Filtracin
(m3/h)0.0220.0330.023107036.904.49E-03Nuestros1711962.733.89E-033524629.151.06E-02Tiempo
de filtracin
(s)2,131.572,854.708,070.975236591.881.46E-02P=17lb/plg20.971.94499999999999982.8553.79499999999999994.74500000000000015.71499999999999996.6257.68.52999999999999949.510.4411.36512.32499999999999913.28514.25500000000000115.21516.18499999999999917.11499999999999818.07499999999999919.00999999999999819.95999999999999720.91499999999999621.86999999999999422.82999999999999523.78999999999999624.74999999999999625.42999999999999629.58762886597938380.20512820512820441.42857142857141687.12765957446809891.68421052631582392.68041237113399755.16483516483515498.974358974359035104.40860215053753110.618556701031111.8085106382979158.70270270270265181.6666666666667759.999999999999908167.73195876288665132.18749999999986178.76288659793823145.16129032258064193.12500000000011201.92513368983927209.05263157894777221.15183246073281238.01047120418869299.7916666666664336.04166666666657491.66666666666669743.23529411764775P=35lb/plg20.971.972.913.914.845.77999999999999946.73499999999999947.728.70999999999999919.6810.6611.6312.60000000000000113.5514.53000000000000115.45500000000000216.37500000000000417.35500000000000418.33500000000000419.29500000000000520.25500000000000621.21500000000000722.14500000000000723.10500000000000824.03500000000000724.96500000000000725.94500000000000726.90500000000000827.83500000000000828.83500000000000829.78500000000000730.74000000000000631.67500000000000432.63500000000000533.28500000000000420.92783505154639211.57.340425531914895911.59999999999999457.09677419354839114.78723404255318418.32460732984294819.99999999999998962.02020202020202823.29896907216494466.73469387755099527.2164948453608628.96907216494841873.05263157894741374.08163265306119233.62162162162164278.26086956521739132.9591836734693479.59183673469388540.72916666666669384.79166666666664383.95833333333335745.59139784946233992.91666666666671499.03225806451602998.924731182795696103.26530612244903106.97916666666671116.12903225806451116.90000000000009169.78947368421049138.7434554973822201.39037433155073292.81249999999994493.53846153846177P=52lb/plg20.961.922.923.94.90000000000000045.85000000000000056.837.858.899.790000000000000910.7311.6712.6213.614.5315.5216.5217.4718.39999999999999919.3220.2321.1622.13500000000000223.10524.04500000000000224.9825.9426.9127.9128.8829.8330.77999999999999831.7232.6533.59499999999999934.57499999999999635.52499999999999936.50499999999999537.40499999999999438.36499999999999538.8649999999999954.1666666666666677.60416666666666798.800000000000000710.20408163265306111.19999999999999611.47368421052632257.24489795918366812.64705882352941715.57692307692307816.99999999999998261.48936170212767421.3829787234042519.26315789473685763.67346938775511224.9462365591397724.74747474747474765.529.36842105263155771.93548387096771529.56521739130439775.60439560439554933.22580645161299675.1794871794871436.4948453608247197534.8663101604278381.66666666666664382.57731958762889283.90000000000009149.58762886597929188.526315789473692.42105263157914497.340425531914903101.07526881720429105.29100529100529107.34693877551003119.89473684210536126.73469387755107197.55555555555549295.7291666666668589.80000000000018
V(L)
t/V
Tesis21110.714073.8000000000017036.90000000000059.7303007994933906E-37.6437558755875594E-34.4861881849772786E-3Nuestros11962.73000000000124629.1536591.8800000000053.8859289293036395E-31.0564526162517414E-21.4632981930588986E-2Presin (Kgf/m2)
DV/Dt (Kg/s)