E1 - EVELOCIDAD DE CAIDA DE UNA PARTICULAMECANICA DE TRANSPORTE DE SEDIMENTOSCALCULO DE TRANSPORTE DE SEDIMENTOSTABLA DE DISTRIBUCION DE FRECUENCIAS PARA UNA MUESTRA DE MATERIAL ALUVIALTABLA PARA LA DETERMINACION DE LOS PARAMETROS ESTADISCOS DE UNA MUESTRA DE MATERIAL ALUVIALMalla NAberturapeso retenido% retenido% retenido acumulado% pasaHOJA 1 VELOCIDAD DE CAIDA DE UNA PARTICULA ESFERICA EC. GENERALHOJA 1 ESFUERZO DE CORTE Y VELOCIDAD EN EL RIOHOJA 1 ESFUERZO DE CORTE Y VELOCIDAD EN EL RIO25.40Abertura (mm)Diametro (Di) mm% retenido Piproducto Di*Pi ``Dmproducto Pi*(Di-Dm)^2DATOSDATOSi) la media geometrica10.1168.92materialcuarzoEsfuerzo de corte?Q585Y100012.7200.98Diametro D0.346mm0.000346mvelocodad de corte?A305.11Dm0.0044Tmperatura del Agua 18Cprofundidad1.5mdatodatofiguraentrada figuraP132.52VARIACION1.65TABLASdato entradatablasalidapendiene del lecho0.0003rango de tamao (mm)Tamao medio geometrico (mm)Porcentaje de peso total en el rango de tamao Porcentaje mas finoPi*divelocidad de caida (cm/s)Dvelocidad de caida (cm/s)vT20g9.81Peso espesifico2650kgf/m3cuarzoN 02650peso espesifico del agua1000TYs2650v0.000001003viscosidad cinematica0.000001057218Cn11.057250.0020.06250.0110.80.80.01S0.0034n0.033Densidad998.618Cn1998.6velocodad de corte V0.066m/s0.06250.1250.0884.45.20.39SOLUCIONesfuerzo de corte t04.4145Pa0.1250.250.17714.219.42.51ECUYACION DE MEYER PETER Y MILLERFIGURASdato entradaFigurasalida0.250.50.35474.994.326.48CALCULANDO EL ESFUERZO CORTANTECD propuesto1.3180.510.707599.33.54DATOSvelocidad de caida w0.075355434121.4140.599.80.71Y02.302Reynold Rw24.6611304509242.8280.21000.57TO7.827Y*Ys*SCD de figura1.31824.6611304509N21.318TOTAL10034.20DETERMINANDO FUERZA TRACTIVA O CRITICACONDICION CD p =CDf1.3181.318OKDm0.0044CD2.96ACEPTADOii) El diametro efectivo de una distribucion muestral es calculadaT*1.078w0.0502836072m/sdm0.34mmse obtiene del grafico el coeficiente de rizos iii) 0.93

HOJA 2 VELOCIDAD DE CAIDA DE UNA PARTICULA ESFERICA - EC. STOKE Ingresando al grafico se obtiene =0.25DATOSDiametro D0.01cmcalculando en parametro de transporteTmperatura del Agua 10CPESO espesifico1.021=0.84FIGURASdato entradaFigurasalidaCALCULANDO EL TRANSPORTE DE SLIDO DE FONDO POR UNIDAD DE ANCHO EN Kg/seg/mK138.51.021F - K138.5Tsf2.61(kg/s)/m10F - K1EL TRANSPORTE DE SOLIDO DE FONDO EN Kg/segK20.5051.021F - K20.505Tsf345.8772kg/s10F - K2transporte de solido de fondo tn/diaX10.385dato entradafigura salida X2INTERPOLANDOTsf29883.79008Tn/diaX20.00750.385N 80.0075D160.160.080.24Vs0.0037875cm/segD500.250.060.31APLICANDO LA ECUACION DE EINTEIND840.330.090.42Determinando el parametro de flujoHOJA 3 PARTICULAS NATURALES ( Velosidad de caida de particulas ) EC. RUBEYD900.340.120.46D50=0.00564mDATOS1.19materialcuarzoiv)detreminando el parametro de transporte Diametro D0.346mm0.000346mIR FIGURA T 21=1.352Tmperatura del Agua 18Cv)despejando y hallando el transporte de solido de fonde en kg/s/mTABLASdato entradatablasalidadatos Tsf6.1kg/segPeso espesifico2650kgf/m3cuarzoN 02650D500.31TRANSPORTE DE SOLIDO DE FONDO EN kg/segviscosidad cinematica0.000001057218Cn11.05725D160.24TSF808.37KG/SEGDensidad998.618Cn1998.6D840.42TRANSPORTE DE SOLIDO DE FONDO EN TN/DIAGr1.32coefeciente de degradacion Tsf69843.17tn/diaw0.045527m/svi) iniciacion de movimientoHOJA 4 PARTICULAS NATURALES ( Velosidad de caida de particulas ) por figura 10datos supuestosD0.346mmdensidad1000curvaSF 0.7velosidad0.61tirante y0.34.54N/m2convertiendo medidas0.095lb/ft2vi)datods0.001ft0.31mm0.926peso espesifico165peso espesifico 262.4calculo de reynoldsviscosidad0.0000141densidad1.94V*0.429

Re15.69ir a figura diagrama de sheilsfigura particulas EN 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EJEMPLO 1VELOCIDAD DE CAIDA DE UNA PARTICULA

HOJA 1 VELOCIDAD DE CAIDA DE UNA PARTICULA ESFERICA EC. GENERALDATOSmaterialcuarzoDiametro D0.346mm0.000346mTmperatura del Agua 18CTABLASdato entradatablasalidaPeso espesifico2650kgf/m3cuarzoN 02650viscosidad cinematica0.000001057218Cn11.05725Densidad998.618Cn1998.6SOLUCIONFIGURASdato entradaFigurasalidaCD propuesto2.96velocidad de caida w0.050Reynold Rw16.46CD de figura2.9616.456020894N22.96CONDICION CD p =CDf2.962.96OKCD2.96ACEPTADOw0.050284m/s

Hoja1xy0.002100000.6400.833.7126.7215.84866104.21202.3401.68601.43801.1310012000.84000.66000.5878000.48710000.42320000.440000.460000.480000.4100000.4200000.408400000.51600000.587800000.5931000000.587COFECIENTE DE ARRASTRE PARA ESFERAS Y DISCOS2000000.42870000.1834000000.194TRAMO(0.002-2)TRAMO(2-200)TRAMO(200-1000)TRAMO(1000-10000)TRAMO(10000-60000)TRAMO(60000-100000)TRAMO(100000-200000)TRAMO(200000-287000)TRAMO(287000-400000)X=0.2X=10X=16.46X=6000X=40000X=80000X=200000X=250000X=300000CD=125.3073301643CD=4.1934681079CD=2.0233286819CD=0.3997331136CD=0.5153196802CD=0.5892004792CD=0.4017690199CD=0.2058068764CD=0.184532971

27.337*(((((4/3)*(1/B13)*((B9-B11)/B11)*9.81*D6)^(1/2))*D6)/B10)^-0.9460.0020.0030.0040.0050.0060.0070.0080.0090.010.0110.0120.0130.0140.0150.0160.0170.0180.0190.020.0210.0220.0230.0240.0250.0260.0270.0280.0290.030.0310.0320.0330.0340.0350.0360.0370.0380.0390.040.0410.0420.0430.0440.0450.0460.0470.0480.0490.050.0510.0520.0530.0540.0550.0560.0570.0580.0590.060.0610.0620.0630.0640.0650.0660.0670.0680.0690.070.0710.0720.0730.0740.0750.0760.0770.0780.0790.080.0810.0820.0830.0840.0850.0860.0870.0880.0890.090.0910.0920.0930.0940.0950.0960.0970.0980.0990.10.1010.1020.1030.1040.1050.1060.1070.1080.1090.110.1110.1120.1130.1140.1150.1160.1170.1180.1190.120.1210.1220.1230.1240.1250.1260.1270.1280.1290.130.1310.1320.1330.1340.1350.1360.1370.1380.1390.140.1410.1420.1430.1440.1450.1460.1470.1480.1490.150.1510.1520.1530.1540.1550.1560.1570.1580.1590.160.1610.1620.1630.1640.1650.1660.1670.1680.1690.170.1710.1720.1730.1740.1750.1760.1770.1780.1790.180.1810.1820.1830.1840.1850.1860.1870.1880.1890.190.1910.1920.1930.1940.1950.1960.1970.1980.1990.20.2010.2020.2030.2040.2050.2060.2070.2080.2090.210.2110.2120.2130.2140.2150.2160.2170.2180.2190.220.2210.2220.2230.2240.2250.2260.2270.2280.2290.230.2310.2320.2330.2340.2350.2360.2370.2380.2390.240.2410.2420.2430.2440.2450.2460.2470.2480.2490.250.2510.2520.2530.2540.2550.2560.2570.2580.2590.260.2610.2620.2630.2640.2650.2660.2670.2680.2690.270.2710.2720.2730.2740.2750.2760.2770.2780.2790.280.2810.2820.2830.2840.2850.2860.2870.2880.2890.290.2910.2920.2930.2940.2950.2960.2970.2980.2990.30.3010.3020.3030.3040.3050.3060.3070.3080.3090.310.3110.3120.3130.3140.3150.3160.3170.3180.3190.320.3210.3220.3230.3240.3250.3260.3270.3280.3290.330.3310.3320.3330.3340.3350.3360.3370.3380.3390.340.3410.3420.3430.3440.3450.3460.3470.3480.3490.350.3510.3520.3530.3540.3550.3560.3570.3580.3590.360.3610.3620.3630.3640.3650.3660.3670.3680.3690.370.3710.3720.3730.3740.3750.3760.3770.3780.3790.380.3810.3820.3830.3840.3850.3860.3870.3880.3890.390.3910.3920.3930.3940.3950.3960.3970.3980.3990.40.4010.4020.4030.4040.4050.4060.4070.4080.4090.410.4110.4120.4130.4140.4150.4160.4170.4180.4190.420.4210.4220.4230.4240.4250.4260.4270.4280.4290.430.4310.4320.4330.4340.4350.4360.4370.4380.4390.440.4410.4420.4430.4440.4450.4460.4470.4480.4490.450.4510.4520.4530.4540.4550.4560.4570.4580.4590.460.4610.4620.4630.4640.4650.4660.4670.4680.4690.470.4710.4720.4730.4740.4750.4760.4770.4780.4790.480.4810.4820.4830.4840.4850.4860.4870.4880.4890.490.4910.4920.4930.4940.4950.4960.4970.4980.4990.50.5010.5020.5030.5040.5050.5060.5070.5080.5090.510.5110.5120.5130.5140.5150.5160.5170.5180.5190.520.5210.5220.5230.5240.5250.5260.5270.5280.5290.530.5310.5320.5330.5340.5350.5360.5370.5380.5390.540.5410.5420.5430.5440.5450.5460.5470.5480.5490.550.5510.5520.5530.5540.5550.5560.5570.5580.5590.560.5610.5620.5630.5640.5650.5660.5670.5680.5690.570.5710.5720.5730.5740.5750.5760.5770.5780.5790.580.5810.5820.5830.5840.5850.5860.5870.5880.5890.590.5910.5920.5930.5940.5950.5960.5970.5980.5990.60.6010.6020.6030.6040.6050.6060.6070.6080.6090.610.6110.6120.6130.6140.6150.6160.6170.6180.6190.620.6210.6220.6230.6240.6250.6260.6270.6280.6290.630.6310.6320.6330.6340.6350.6360.6370.6380.6390.640.6410.6420.6430.6440.6450.6460.6470.6480.6490.650.6510.6520.6530.6540.6550.6560.6570.6580.6590.660.6610.6620.6630.6640.6650.6660.6670.6680.6690.670.6710.6720.6730.6740.6750.6760.6770.6780.6790.680.6810.6820.6830.6840.6850.6860.6870.6880.6890.690.6910.6920.6930.6940.6950.6960.6970.6980.6990.70.7010.7020.7030.7040.7050.7060.7070.7080.7090.710.7110.7120.7130.7140.7150.7160.7170.7180.7190.720.7210.7220.7230.7240.7250.7260.7270.7280.7290.730.7310.7320.7330.7340.7350.7360.7370.7380.7390.740.7410.7420.7430.7440.7450.7460.7470.7480.7490.750.7510.7520.7530.7540.7550.7560.7570.7580.7590.760.7610.7620.7630.7640.7650.7660.7670.7680.7690.770.7710.7720.7730.7740.7750.7760.7770.7780.7790.780.7810.7820.7830.7840.7850.7860.7870.7880.7890.790.7910.7920.7930.7940.7950.7960.7970.7980.7990.80.8010.8020.8030.8040.8050.8060.8070.8080.8090.810.8110.8120.8130.8140.8150.8160.8170.8180.8190.820.8210.8220.8230.8240.8250.8260.8270.8280.8290.830.8310.8320.8330.8340.8350.8360.8370.8380.8390.840.8410.8420.8430.8440.8450.8460.8470.8480.8490.850.8510.8520.8530.8540.8550.8560.8570.8580.8590.860.8610.8620.8630.8640.8650.8660.8670.8680.8690.870.8710.8720.8730.8740.8750.8760.8770.8780.8790.880.8810.8820.8830.8840.8850.8860.8870.8880.8890.890.8910.8920.8930.8940.8950.8960.8970.8980.8990.90.9010.9020.9030.9040.9050.9060.9070.9080.9090.910.9110.9120.9130.9140.9150.9160.9170.9180.9190.920.9210.9220.9230.9240.9250.9260.9270.9280.9290.930.9310.9320.9330.9340.9350.9360.9370.9380.9390.940.9410.9420.9430.9440.9450.9460.9470.9480.9490.950.9510.9520.9530.9540.9550.9560.9570.9580.9590.960.9610.9620.9630.9640.9650.9660.9670.9680.9690.970.9710.9720.9730.9740.9750.9760.9770.9780.9790.980.9810.9820.9830.9840.9850.9860.9870.9880.9890.990.9910.9920.9930.9940.9950.9960.9970.9980.99911.0011.0021.0031.0041.0051.0061.0071.0081.0091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