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1) IMPULSOR DE PLACA PLANA INCLINADA (L=2cm)Temperatura = 27CViscosidad(kg/m.s)= 0.001002
densidad(Kg/m3)= 999.23
Da(m)= 0.0823
Sin deflector, turbina a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
501.70.833333330.019550.159658333
1001.51.666666670.017250.28175
1501.42.50.01610.39445
2001.23.333333330.01380.4508
2501.14.166666670.012650.516541667
3001.150.012650.61985
35015.833333330.01150.657416667
4000.86.666666670.00920.601066667
4500.77.50.008050.591675
5000.78.333333330.008050.657416667
5500.79.166666670.008050.723158333
6000.6100.00690.6762
6500.610.83333330.00690.73255
7000.711.66666670.008050.920383333
Con deflector, turbina a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
501.90.833333330.021850.1784416673246.20941.630.000898896
1001.81.666666670.02070.33816492.418811.630.007191167
1501.62.50.01840.45089738.628211.630.02427019
2001.53.333333330.017250.563512984.83761.630.05752934
2501.54.166666670.017250.70437516231.0471.630.112361992
3001.550.017250.8452519477.25641.630.194161522
3501.45.833333330.01610.92038333322723.46581.630.308321306
4001.36.666666670.014950.97673333325969.67521.630.46023472
4501.37.50.014951.09882529215.88461.630.655295138
5001.38.333333330.014951.22091666732462.0941.630.898895937
5501.79.166666670.019551.75624166735708.30341.631.196430492
6001.9100.021852.141338954.51281.631.553292179
6502.110.83333330.024152.56392542200.72231.631.974874374
7002.511.66666670.028753.28708333345446.93171.632.466570451
7502.712.50.031053.80362548693.14111.633.033773787
CALCULO DEL NpoSin deflectorCon deflector
ReNpoNpo
3246.209473.125810681.72884747
6492.4188116.130693319.35683191
9738.628216.691250587.647143517
12984.83763.226138684.032673351
16231.0471.892668022.580910931
19477.25641.314352791.792299262
22723.46580.877860861.22900521
25969.67520.537689780.873745889
29215.88460.371736140.690367123
32462.0940.301106280.559197371
35708.30340.248848160.604345536
38954.51280.179229930.567561433
Sin deflector, turbina a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
501.90.8333333330.021850.178441667
1001.81.6666666670.02070.3381
1501.62.50.01840.4508
2001.33.3333333330.014950.488366667
2501.34.1666666670.014950.610458333
3001.250.01380.6762
35015.8333333330.01150.657416667
4000.86.6666666670.00920.601066667
4500.77.50.008050.591675
5000.68.3333333330.00690.5635
5500.69.1666666670.00690.61985
6000.6100.00690.6762
6500.610.833333330.00690.73255
Con deflector, turbina a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
5020.8333333330.0230.1878333333246.2094041.630.000898896
1001,81.6666666670.02070.33816492.4188081.630.007191167
1501.72.50.019550.4789759738.6282121.630.02427019
2001.53.3333333330.017250.563512984.837621.630.05752934
2501.54.1666666670.017250.70437516231.047021.630.112361992
3001.550.017250.8452519477.256421.630.194161522
3501.45.8333333330.01610.92038333322723.465831.630.308321306
4001.36.6666666670.014950.97673333325969.675231.630.46023472
4501.47.50.01611.1833529215.884641.630.655295138
5001.58.3333333330.017251.4087532462.094041.630.898895937
5501.79.1666666670.019551.75624166735708.303451.631.196430492
6001.8100.02072.028638954.512851.631.553292179
6501.910.833333330.021852.31974166742200.722251.631.974874374
Calculo del NpoResin deflectorcon deflector
3246.209481.728846686.0303645
6492.4188119.35683219.356832
9738.628217.647143528.12508999
12984.83763.494983564.03267334
16231.0472.236789482.58091094
19477.25641.433839411.79229926
22723.46580.877860861.22900521
25969.67520.537689780.87374589
29215.88460.371736140.74347229
32462.0940.258091090.64522773
35708.30350.213298420.60434554
38954.51290.179229930.53768978
42200.72230.152716620.48360264
Sin deflector, turbina a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
501.90.8333333330.021850.178441667
1001.71.6666666670.019550.319316667
1501.52.50.017250.422625
2001.23.3333333330.01380.4508
2501.24.1666666670.01380.5635
3001.350.014950.73255
3501.25.8333333330.01380.7889
4000.86.6666666670.00920.601066667
4500.67.50.00690.50715
5000.68.3333333330.00690.5635
Con deflector, turbina a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
501.90.8333333330.021850.1784416673246.2094041.630.0008989
1001.81.6666666670.02070.33816492.4188081.630.00719117
1501.62.50.01840.45089738.6282121.630.02427019
2001.53.3333333330.017250.563512984.837621.630.05752934
2501.54.1666666670.017250.70437516231.047021.630.11236199
3001.550.017250.8452519477.256421.630.19416152
3501.55.8333333330.017250.98612522723.465831.630.30832131
4001.46.6666666670.01611.05186666725969.675231.630.46023472
4501.67.50.01841.352429215.884641.630.65529514
5001.78.3333333330.019551.59658333332462.094041.630.89889594
Resin deflectorescon deflectores
3246.209481.728846681.72884659
6492.4188118.281452519.35683202
9738.628217.169197057.647143517
12984.83763.226138674.03267334
16231.0472.064728752.580910936
19477.25641.553326031.792299262
22723.46581.053433041.316791295
25969.67520.537689780.940957113
29215.88460.318630980.849682613
32462.0940.258091090.731258099
IMPULSOR DE PLACA PLANA INCLINADA (L=4cm)Temperatura = 27CViscosidad(kg/m.s)= 0.001002
densidad(Kg/m3)= 999.23
Da(m)= 0.0625
Sin deflector, turbina a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
502.20.833333330.02530.206616667
1002.51.666666670.028750.469583333
1502.72.50.031050.760725
2003.43.333333330.03911.277266667
2504.34.166666670.049452.019208333
3004.750.054052.64845
3506.15.833333330.070154.010241667
Con deflector, turbina a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1002.71.666666670.031050.5071511257.60911.630.02847072
2006.53.333333330.074752.44183333322515.21811.630.22776578
30013.550.155257.6072533772.82721.630.76870952
40028.46.666666670.326621.3378666745030.43621.631.82212626
Calculo del NpoResin deflectorcon deflector
11257.609194.633402329.0352479
22515.218126.884488717.4749179
33772.827212.904554716.1306934
45030.43629.1407262719.0879871
Sin deflector, turbina a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
502.10.833333330.024150.197225
1002.41.666666670.02760.4508
1502.52.50.028750.704375
2003.33.333333330.037951.2397
2503.74.166666670.042551.73745833
3004.850.05522.7048
Con deflector, turbina a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1002.51.666666670.028750.4695833311257.60911.630.02847072
2006.13.333333330.070152.2915666722515.21811.630.22776578
3001350.14957.325533772.82721.630.76870952
Sin deflector, turbina a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
502.20.833333330.02530.20661667
1002.31.666666670.026450.43201667
1502.42.50.02760.6762
2003.33.333333330.037951.2397
2503.84.166666670.04371.78441667
Con deflector, turbina a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1002.71.666666670.031050.5071511257.60911.630.02847072
2006.13.333333330.070152.2915666722515.21811.630.22776578
250134.166666670.14956.1045833328144.02261.630.44485504
Calculo del NpoSin deflectorCon deflector
ReNpoNpo
11257.609194.633403729.0352479
22515.218124.733729916.3995383
28144.022611.470715322.3678947
2) HELICE (L= 2cm) Temperatura = 27CViscosidad(kg/m.s)= 0.001002
densidad(Kg/m3)= 999.23
Da(m)= 0.0823
Sin deflector, hlice a 0 cm del extremo opuesto del ajuste del eje del impulsor.RPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
501.90.833333330.021850.17844167
1001.71.666666670.019550.31931667
1501.52.50.017250.422625
2001.23.333333330.01380.4508
25014.166666670.01150.46958333
3000.950.010350.50715
3500.75.833333330.008050.46019167
4000.56.666666670.005750.37566667
4500.47.50.00460.3381
5000.38.333333330.003450.28175
5500.29.166666670.00230.20661667
6000.2100.00230.2254
6500.210.83333330.00230.24418333
7000.111.66666670.001150.13148333
Con deflector, hlice a 0 cm del extremo opuesto del ajuste del eje del impulsor.RPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.81.666666670.02070.33812659.294740.320.00015159
2001.33.333333330.014950.488366675318.589490.320.0012127
3001.250.01380.67627977.884230.320.00409285
4000.76.666666670.008050.5259333310637.1790.320.00970156
5000.58.333333330.005750.4695833313296.47370.320.01894836
6000.4100.00460.450815955.76850.320.03274277
7000.411.66666670.03694.218918615.06320.320.0519943
Calculo del NpResin deflectorescon deflectores
2659.2947481.728848819.3568319
5318.5894918.28145263.49498359
7977.884237.169197051.43383941
10637.1793.226138680.47047855
13296.47371.720607280.21507591
15955.76851.075379560.11948662
18615.06320.614502610.70419708
Sin deflector, hlice a 5 cm del extremo opuesto del ajuste del eje del impulsor.RPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
5020.833333330.0230.18783333
1001.81.666666670.02070.3381
1501.52.50.017250.422625
2001.23.333333330.01380.4508
2501.24.166666670.01380.5635
300150.01150.5635
3500.85.833333330.00920.52593333
4000.56.666666670.005750.37566667
4500.37.50.003450.253575
5000.38.333333330.003450.28175
5500.29.166666670.00230.20661667
6000.2100.00230.2254
6500.210.83333330.00230.24418333
7000.111.66666670.001150.13148333
Con deflector, hlice a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.81.666666670.02070.33812659.294740.320.00015159
2001.33.333333330.014950.488366675318.589490.320.0012127
3001.250.01380.67627977.884230.320.00409285
4000.86.666666670.00920.6010666710637.1790.320.00970156
5000.58.333333330.005750.4695833313296.47370.320.01894836
6000.4100.00460.450815955.76850.320.03274277
7000.311.66666670.03694.218918615.06320.320.0519943
Calculo del NpoResin deflectorcondeflector
2659.294741.3892731776.6360952
5318.589490.3125864613.837073
7977.884230.115772765.67674783
10637.1790.052097742.12878044
13296.47370.033342560.85151217
15955.76850.019295460.47306232
18615.06320.011341012.78800346
Sin deflector, hlice a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
5020.833333330.0230.18783333
1001.71.666666670.019550.31931667
1501.52.50.017250.422625
2001.23.333333330.01380.4508
2501.14.166666670.012650.51654167
3001.150.012650.61985
3500.85.833333330.00920.52593333
4000.66.666666670.00690.4508
4500.47.50.00460.3381
5000.38.333333330.003450.28175
5500.29.166666670.00230.20661667
6000.2100.00230.2254
6500.110.83333330.001150.12209167
7000.111.66666670.001150.13148333
Con deflector, hlice a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.81.666666670.02070.33812659.294740.320.00015159
2001.33.333333330.014950.488366675318.589490.320.0012127
3001.250.01380.67627977.884230.320.00409285
4000.76.666666670.008050.5259333310637.1790.320.00970156
5000.58.333333330.005750.4695833313296.47370.320.01894836
6000.4100.00460.450815955.76850.320.03274277
7000.311.66666670.03694.218918615.06320.320.0519943
HELICE (L= 3.5cm) Temperatura = 27CViscosidad(kg/m.s)= 0.001002
densidad(Kg/m3)= 999.23
Da(m)= 0.075
Sin deflector, hlice a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
5020.833333330.0230.18783333
1001.81.666666670.02070.3381
1501.72.50.019550.478975
2001.83.333333330.02070.6762
2502.24.166666670.02531.03308333
3002.350.026451.29605
3502.35.833333330.026451.51205833
4002.36.666666670.026451.72806667
4502.47.50.02762.0286
5002.78.333333330.031052.53575
5503.29.166666670.03683.30586667
Con deflector, hlice a 0 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.91.666666670.021850.356883339349.083080.320.00351292
2002.13.333333330.024150.788918698.16620.320.02810334
3002.850.03221.577828047.24930.320.09484879
40046.666666670.0463.0053333337396.33230.320.22482675
5005.98.333333330.067855.5410833346745.41540.320.43911475
6008.2100.09439.241456094.49850.320.75879028
Sin deflector, hlice a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
5020.833333330.0230.18783333
1001.81.666666670.02070.3381
1501.72.50.019550.478975
2001.83.333333330.02070.6762
2502.14.166666670.024150.986125
3002.150.024151.18335
3502.25.833333330.02531.44631667
4002.36.666666670.026451.72806667
4502.67.50.02992.19765
Con deflector, hlice a 5 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.91.666666670.021850.356883339349.083080.320.00351292
20023.333333330.0230.7513333318698.16620.320.02810334
3002.650.02991.465128047.24930.320.09484879
4004.16.666666670.047153.0804666737396.33230.320.22482675
50068.333333330.0695.63546745.41540.320.43911475
6009100.103510.14356094.49850.320.75879028
Sin deflector, hlice a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)
5020.833333330.0230.18783333
1001.81.666666670.02070.3381
1501.92.50.021850.535325
2001.83.333333330.02070.6762
2501.94.166666670.021850.89220833
300250.0231.127
Con deflector, hlice a 10 cm del extremo opuesto del ajuste del eje del impulsorRPMTorque (lb-pulg)n (rev/s)Torque (kg-m)Potencia exp. (W)ReNpPot. terica (W)
1001.91.666666670.021850.356883339349.083080.320.00351292
20023.333333330.0230.7513333318698.16620.320.02810334
3002.750.031051.5214528047.24930.320.09484879
4003.96.666666670.044852.930237396.33230.320.22482675
5006.38.333333330.072455.9167546745.41540.320.43911475
6009.8100.112711.044656094.49850.320.75879028
Datos utilizados:Este nmero de potencia es anlogo a un factor de friccin o un coeficiente de rozamiento
Donde P: Potencia consumidaNp: Numero de PotenciaEl nmero de Reynolds es un numero adimensional importante para determinar el nmero de potencia, se determina as
Donde : Densidad del fluido en Kg/m3: viscosidad del fluido Kg/m.sn: velocidad de giroDa: dimetro del impulsorMuestra de clculo.Para la muestra de clculo se tomara como base una agitacin con deflectores, se tomara la siguiente tabla:RPMTorque (lb-pulg)n (rev/s)Torque (kg-m)
502.20.833333330.0253
1002.31.666666670.02645
1502.42.50.0276
2003.33.333333330.03795
2503.84.166666670.0437
Temperatura = 27CViscosidad(kg/m.s)= 0.001002
densidad(Kg/m3)= 999.23
Da(m)= 0.0823
Para calcular el consumo de potencia terica se utilizar:
a) Calcularemos el nmero de Reynolds para saber si el flujo es turbulento o laminar con la siguiente relacin:
b) Luego se calculara el nmero de potencia , que depender del nmero de Reynolds
b.1) Para Re10000 (flujo turbulento), con placas deflectoras:
c) Se reemplazara el nmero de potencia, dependiendo del nmero de ReynoldsComo por ejemplo, para nuestro caso, cogeremos el primer valor de la tabla indicada:Hlice con bafle.1 Para una velocidad de N=0.8333 rev/s y un torque de =0.0253 kg-m.
2 Como el Re es mucho mayor que 10, el flujo ser aproximadamente turbulento (Np=KT).
Consumo de potencia experimental.1 Siguiendo la ecuacin que involucra a la potencia y al torque:
Para nuestro caso:
Clculo del NPo.Una vez obtenido el valor de la potencia experimental, calculamos el valor de Npo para obtener una grfica que muestre la correlacin de este nmero adimensional con el Re.
Para la hlice pequea con deflectores, de los clculos anteriores: