centrifugal pump performance experiment presented by: steven king me 498 senior lab november 16,...
TRANSCRIPT
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Centrifugal Pump Performance ExperimentPresented by: Steven King
ME 498 Senior labNovember 16, 2004
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Overview of PresentationObjectivesMethodology and BackgroundExperimental SetupDiscussion of ResultsConclusions and Recommendations
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ObjectivesBecome familiar with centrifugal pump operationAnalyze the principles of fluid flow at 5 different shaft speedsEvaluate pump performance
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Methodology and BackgroundKey Equations
Assumptions: = .75, =998, and =9.55x10-4P and was recorded during experiment.(1)(2)(3)(4)(5)0
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Methodology and BackgroundCont.Affinity Laws
Key Equations Continued(6)(7)
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Experimental SetupOverall System Schematic
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Experimental Setup
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Experimental Setup Cont.
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Experimental Setup Cont.= 1.5 in= 2 inVenturi Flow Meter
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ResultsUncertainty Values for ExperimentwQ = 38.0%w = 39.7%Affinity Law Results
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Results Cont.
head vs flow
5.40827563176.21243424397.920992162110.142626287412.3314122167
5.5215482126.44745993278.423891735611.051576952113.5773253693
5.75657390086.54091620399.066664621111.583932510314.5485802147
5.78772599126.87787869189.434779199412.532515793415.6614044777
6.19547318797.18368908949.802893777813.237592859716.4995704336
6.53413178147.653740466910.443970557713.840733126717.5104578974
6.56358776627.753981160410.711844442414.38156921317.7766356765
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Head (m)
Pump Head vs. Flow Rate
uncertainty
Uncertainty in Q
wQ=((dQ/Dp)*wDp)^2)^.5)
Q=A((Cd/(1-.75^4)^.5(2/998)^.5*(dP)^.5)
A0.001140094
Cd0.8907164098
dP7000
Wp200
dQ/dP=0.0000077774
wQ=0.0015554725
Uncertainty in Efficiency
N overall = (Q*(P2-P1))/V*I
compvalueuncertainty
V1505
I4.500000000.5
P1-13555.1839464883200
P239500200
Q0.00409340430.0001314353
nhn(n+dn)
V0.3217426899150150.00000000010.3217426899-0.0021449509
I0.32174268994.500000004.50000000010.3217426899-0.0714978077
P10.3217426899-13555.1839464883-13555.18394648820.3217426899-0.0000061062
P20.32174268993950039500.00000000010.32174268990.0000066613
Q0.32174268990.00409340430.00409340440.3217427078.6002718467
0.0387685085
effic vs flow
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Efficiency
Pump Efficiency vs. Flow Rate
power vs flow
217.1763157112283.5061386432435.760154594658.1858607529906.1171878898
204.9797767143277.1175919053425.7185956818653.8012571094905.5688101211
194.7354653987242.8223917445413.7597238327611.8807771483860.6807946778
174.7146774377232.6673697048378.8657837799571.9247915629791.4811027862
161.4515172536216.8547584971331.6158386869491.4271730348662.5616299227
138.3480101306162.0536284031272.1656347378360.6838889367456.3154273445
97.3163411219114.9659458423158.8212948361213.2311999556263.568828987
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Power (Watts)
Pump Power to Fluid vs. Flow Rate
effic vs power
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Pump Power (Watts)
Pump Efficiency
Pump Efficiency vs. Pump Power to Fluid
Data
At=0.00114Beta=0.75Dt=0.0381mu=0.000955
Ai=0.00203rho=1000Di=0.0508
SpeedOmegaVoltageCurrentPinletPinletPoutletTorqueTorqueVenturi DPReCdVthroatFlowPower (W)HeadEfficiency
(rpm)(rad/s)(volts)(amps)(in Hg)(Pa)(Pa)(ft*lb)(N*m)(Pa)(m/s)(m3/sec)MotorPumpFluid(m)MotorPumpOverall
900.294.26872355871504.5-4.0-13555.2395003.855.27000120611.110.89074.0314.093E-03675.0492.1217.25.410.7290.4410.322
94.26872355871503.5-3.0-10166.4440003.805.26000111583.210.89013.7293.784E-03525.0485.7205.05.520.9250.4220.390
94.26872355871503.5-2.5-8472.0480003.755.15000101769.810.88933.4013.448E-03525.0479.3194.75.760.9130.4060.371
94.26872355871503.5-2.0-6777.6500003.755.1400090920.470.88823.0393.077E-03525.0479.3174.75.790.9130.3650.333
94.26872355871503.5-2.0-6777.6540003.504.7300078614.040.88682.6272.656E-03525.0447.3161.56.200.8520.3610.308
94.26872355871503.1-1.8-6099.8580003.404.6200064030.370.88472.1402.158E-03465.0434.6138.36.530.9350.3180.298
94.26872355871503.0-1.0-3388.8610003.204.3100045056.580.88041.5061.511E-03450.0409.097.36.560.9090.2380.216
94.26872355871492.00.00.0710003.104.20.00.000.00000.0000.000E+00298.0396.20.00.001.3300.0000.000
0.0
992.8103.96577288281594.1-5.0-16944.0440004.606.29000136913.710.89174.5764.652E-03651.9648.4283.56.210.9950.4370.435
103.96577288281594.1-4.5-15249.6480004.506.18000129016.780.89134.3124.381E-03651.9634.3277.16.450.9730.4370.425
103.96577288281594.0-3.0-10166.4540004.406.06000111583.210.89013.7293.784E-03636.0620.2242.86.540.9750.3920.382
103.96577288281594.0-2.5-8472.0590004.305.85000101769.810.88933.4013.448E-03636.0606.1232.76.880.9530.3840.366
103.96577288281593.9-2.5-8472.0620004.205.7400090920.470.88823.0393.077E-03620.1592.0216.97.180.9550.3660.350
103.96577288281583.5-1.5-5083.2700003.905.3200064030.370.88472.1402.158E-03553.0549.7162.17.650.9940.2950.293
103.96577288281583.5-1.2-4066.6720003.805.2100045056.580.88041.5061.511E-03553.0535.6115.07.750.9690.2150.208
103.96577288281582.10.00.0830002.503.40.00.000.00000.0000.000E+00331.8352.40.00.001.0620.0000.000
0.0
1165121.99851471441905.4-6.7-22704.9550005.807.913000164799.450.89315.5085.608E-031026.0959.4435.87.920.9350.4540.425
121.99851471441905.2-5.5-18638.4640005.707.711000151491.780.89255.0635.152E-03988.0942.8425.78.420.9540.4520.431
121.99851471441905.0-5.0-16944.0720005.507.59000136913.710.89174.5764.652E-03950.0909.7413.89.070.9580.4550.436
121.99851471441905.0-4.0-13555.2790005.307.27000120611.110.89074.0314.093E-03950.0876.7378.99.430.9230.4320.399
121.99851471441904.8-3.0-10166.4860005.207.15000101769.810.88933.4013.448E-03912.0860.1331.69.800.9430.3860.364
121.99851471441904.5-2.2-7455.4950004.906.6300078614.040.88682.6272.656E-03855.0810.5272.210.440.9480.3360.318
121.99851471441904.0-1.5-5083.21000004.606.2100045056.580.88041.5061.511E-03760.0760.9158.810.711.0010.2090.209
121.99851471441902.80.00.01120003.204.30.00.000.00000.0000.000E+00532.0529.30.00.000.9950.0000.000
0.0
1352141.58110892182187.0-9.0-30499.2690006.108.318000194157.050.89426.4896.615E-031526.01170.9658.210.140.7670.5620.431
141.58110892182186.8-7.5-25416.0830006.008.115000177120.790.89365.9206.030E-031482.41151.7653.811.050.7770.5680.441
141.58110892182186.5-5.5-18638.4950006.008.112000158283.870.89285.2905.384E-031417.01151.7611.911.580.8130.5310.432
141.58110892182186.2-5.0-16944.01060006.008.19000136913.710.89174.5764.652E-031351.61151.7571.912.530.8520.4970.423
141.58110892182185.8-3.5-11860.81180006.008.16000111583.210.89013.7293.784E-031264.41151.7491.413.240.9110.4270.389
141.58110892182185.2-2.0-6777.61290005.707.7300078614.040.88682.6272.656E-031133.61094.2360.713.840.9650.3300.318
141.58110892182185.0-1.5-5083.21360005.307.2100045056.580.88041.5061.511E-031090.01017.4213.214.380.9330.2100.196
141.58110892182183.50.00.01500004.706.40.00.000.00000.0000.000E+00763.0902.20.00.001.1820.0000.000
0.0
1530160.22122533312458.5-11.5-38971.2820006.008.123000219661.380.89497.3417.490E-032082.51303.4906.112.330.6260.6950.435
160.22122533312458.2-9.5-32193.61010006.008.119000199516.120.89436.6686.799E-032009.01303.4905.613.580.6490.6950.451
160.22122533312458.0-7.0-23721.61190006.008.115000177120.790.89365.9206.030E-031960.01303.4860.714.550.6650.6600.439
160.22122533312457.5-5.5-18638.41350006.008.111000151491.780.89255.0635.152E-031837.51303.4791.515.660.7090.6070.431
160.22122533312457.0-3.5-11860.81500006.008.17000120611.110.89074.0314.093E-031715.01303.4662.616.500.7600.5080.386
160.22122533312456.2-2.0-6777.61650005.807.9300078614.040.88682.6272.656E-031519.01259.9456.317.510.8290.3620.300
160.22122533312455.8-1.0-3388.81710005.807.9100045056.580.88041.5061.511E-031421.01259.9263.617.780.8870.2090.185
160.22122533312484.20.00.01850005.507.50.00.000.00000.0000.000E+001041.61194.80.00.001.1470.0000.000
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Results Cont.
head vs flow
5.40827563176.21243424397.920992162110.142626287412.3314122167
5.5215482126.44745993278.423891735611.051576952113.5773253693
5.75657390086.54091620399.066664621111.583932510314.5485802147
5.78772599126.87787869189.434779199412.532515793415.6614044777
6.19547318797.18368908949.802893777813.237592859716.4995704336
6.53413178147.653740466910.443970557713.840733126717.5104578974
6.56358776627.753981160410.711844442414.38156921317.7766356765
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Head (m)
Pump Head vs. Flow Rate
uncertainty
Uncertainty in Q
wQ=((dQ/Dp)*wDp)^2)^.5)
Q=A((Cd/(1-.75^4)^.5(2/998)^.5*(dP)^.5)
A0.001140094
Cd0.8907164098
dP7000
Wp200
dQ/dP=0.0000077774
wQ=0.0015554725
Uncertainty in Efficiency
N overall = (Q*(P2-P1))/V*I
compvalueuncertainty
V1505
I4.500000000.5
P1-13555.1839464883200
P239500200
Q0.00409340430.0001314353
nhn(n+dn)
V0.3217426899150150.00000000010.3217426899-0.0021449509
I0.32174268994.500000004.50000000010.3217426899-0.0714978077
P10.3217426899-13555.1839464883-13555.18394648820.3217426899-0.0000061062
P20.32174268993950039500.00000000010.32174268990.0000066613
Q0.32174268990.00409340430.00409340440.3217427078.6002718467
0.0387685085
effic vs flow
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Efficiency
Pump Efficiency vs. Flow Rate
power vs flow
217.1763157112283.5061386432435.760154594658.1858607529906.1171878898
204.9797767143277.1175919053425.7185956818653.8012571094905.5688101211
194.7354653987242.8223917445413.7597238327611.8807771483860.6807946778
174.7146774377232.6673697048378.8657837799571.9247915629791.4811027862
161.4515172536216.8547584971331.6158386869491.4271730348662.5616299227
138.3480101306162.0536284031272.1656347378360.6838889367456.3154273445
97.3163411219114.9659458423158.8212948361213.2311999556263.568828987
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Power (Watts)
Pump Power to Fluid vs. Flow Rate
effic vs power
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Pump Power (Watts)
Pump Efficiency
Pump Efficiency vs. Pump Power to Fluid
Data
At=0.00114Beta=0.75Dt=0.0381mu=0.000955
Ai=0.00203rho=1000Di=0.0508
SpeedOmegaVoltageCurrentPinletPinletPoutletTorqueTorqueVenturi DPReCdVthroatFlowPower (W)HeadEfficiency
(rpm)(rad/s)(volts)(amps)(in Hg)(Pa)(Pa)(ft*lb)(N*m)(Pa)(m/s)(m3/sec)MotorPumpFluid(m)MotorPumpOverall
900.294.26872355871504.5-4.0-13555.2395003.855.27000120611.110.89074.0314.093E-03675.0492.1217.25.410.7290.4410.322
94.26872355871503.5-3.0-10166.4440003.805.26000111583.210.89013.7293.784E-03525.0485.7205.05.520.9250.4220.390
94.26872355871503.5-2.5-8472.0480003.755.15000101769.810.88933.4013.448E-03525.0479.3194.75.760.9130.4060.371
94.26872355871503.5-2.0-6777.6500003.755.1400090920.470.88823.0393.077E-03525.0479.3174.75.790.9130.3650.333
94.26872355871503.5-2.0-6777.6540003.504.7300078614.040.88682.6272.656E-03525.0447.3161.56.200.8520.3610.308
94.26872355871503.1-1.8-6099.8580003.404.6200064030.370.88472.1402.158E-03465.0434.6138.36.530.9350.3180.298
94.26872355871503.0-1.0-3388.8610003.204.3100045056.580.88041.5061.511E-03450.0409.097.36.560.9090.2380.216
94.26872355871492.00.00.0710003.104.20.00.000.00000.0000.000E+00298.0396.20.00.001.3300.0000.000
0.0
992.8103.96577288281594.1-5.0-16944.0440004.606.29000136913.710.89174.5764.652E-03651.9648.4283.56.210.9950.4370.435
103.96577288281594.1-4.5-15249.6480004.506.18000129016.780.89134.3124.381E-03651.9634.3277.16.450.9730.4370.425
103.96577288281594.0-3.0-10166.4540004.406.06000111583.210.89013.7293.784E-03636.0620.2242.86.540.9750.3920.382
103.96577288281594.0-2.5-8472.0590004.305.85000101769.810.88933.4013.448E-03636.0606.1232.76.880.9530.3840.366
103.96577288281593.9-2.5-8472.0620004.205.7400090920.470.88823.0393.077E-03620.1592.0216.97.180.9550.3660.350
103.96577288281583.5-1.5-5083.2700003.905.3200064030.370.88472.1402.158E-03553.0549.7162.17.650.9940.2950.293
103.96577288281583.5-1.2-4066.6720003.805.2100045056.580.88041.5061.511E-03553.0535.6115.07.750.9690.2150.208
103.96577288281582.10.00.0830002.503.40.00.000.00000.0000.000E+00331.8352.40.00.001.0620.0000.000
0.0
1165121.99851471441905.4-6.7-22704.9550005.807.913000164799.450.89315.5085.608E-031026.0959.4435.87.920.9350.4540.425
121.99851471441905.2-5.5-18638.4640005.707.711000151491.780.89255.0635.152E-03988.0942.8425.78.420.9540.4520.431
121.99851471441905.0-5.0-16944.0720005.507.59000136913.710.89174.5764.652E-03950.0909.7413.89.070.9580.4550.436
121.99851471441905.0-4.0-13555.2790005.307.27000120611.110.89074.0314.093E-03950.0876.7378.99.430.9230.4320.399
121.99851471441904.8-3.0-10166.4860005.207.15000101769.810.88933.4013.448E-03912.0860.1331.69.800.9430.3860.364
121.99851471441904.5-2.2-7455.4950004.906.6300078614.040.88682.6272.656E-03855.0810.5272.210.440.9480.3360.318
121.99851471441904.0-1.5-5083.21000004.606.2100045056.580.88041.5061.511E-03760.0760.9158.810.711.0010.2090.209
121.99851471441902.80.00.01120003.204.30.00.000.00000.0000.000E+00532.0529.30.00.000.9950.0000.000
0.0
1352141.58110892182187.0-9.0-30499.2690006.108.318000194157.050.89426.4896.615E-031526.01170.9658.210.140.7670.5620.431
141.58110892182186.8-7.5-25416.0830006.008.115000177120.790.89365.9206.030E-031482.41151.7653.811.050.7770.5680.441
141.58110892182186.5-5.5-18638.4950006.008.112000158283.870.89285.2905.384E-031417.01151.7611.911.580.8130.5310.432
141.58110892182186.2-5.0-16944.01060006.008.19000136913.710.89174.5764.652E-031351.61151.7571.912.530.8520.4970.423
141.58110892182185.8-3.5-11860.81180006.008.16000111583.210.89013.7293.784E-031264.41151.7491.413.240.9110.4270.389
141.58110892182185.2-2.0-6777.61290005.707.7300078614.040.88682.6272.656E-031133.61094.2360.713.840.9650.3300.318
141.58110892182185.0-1.5-5083.21360005.307.2100045056.580.88041.5061.511E-031090.01017.4213.214.380.9330.2100.196
141.58110892182183.50.00.01500004.706.40.00.000.00000.0000.000E+00763.0902.20.00.001.1820.0000.000
0.0
1530160.22122533312458.5-11.5-38971.2820006.008.123000219661.380.89497.3417.490E-032082.51303.4906.112.330.6260.6950.435
160.22122533312458.2-9.5-32193.61010006.008.119000199516.120.89436.6686.799E-032009.01303.4905.613.580.6490.6950.451
160.22122533312458.0-7.0-23721.61190006.008.115000177120.790.89365.9206.030E-031960.01303.4860.714.550.6650.6600.439
160.22122533312457.5-5.5-18638.41350006.008.111000151491.780.89255.0635.152E-031837.51303.4791.515.660.7090.6070.431
160.22122533312457.0-3.5-11860.81500006.008.17000120611.110.89074.0314.093E-031715.01303.4662.616.500.7600.5080.386
160.22122533312456.2-2.0-6777.61650005.807.9300078614.040.88682.6272.656E-031519.01259.9456.317.510.8290.3620.300
160.22122533312455.8-1.0-3388.81710005.807.9100045056.580.88041.5061.511E-031421.01259.9263.617.780.8870.2090.185
160.22122533312484.20.00.01850005.507.50.00.000.00000.0000.000E+001041.61194.80.00.001.1470.0000.000
-
Results Cont.
head vs flow
5.40827563176.21243424397.920992162110.142626287412.3314122167
5.5215482126.44745993278.423891735611.051576952113.5773253693
5.75657390086.54091620399.066664621111.583932510314.5485802147
5.78772599126.87787869189.434779199412.532515793415.6614044777
6.19547318797.18368908949.802893777813.237592859716.4995704336
6.53413178147.653740466910.443970557713.840733126717.5104578974
6.56358776627.753981160410.711844442414.38156921317.7766356765
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Head (m)
Pump Head vs. Flow Rate
uncertainty
Uncertainty in Q
wQ=((dQ/Dp)*wDp)^2)^.5)
Q=A((Cd/(1-.75^4)^.5(2/998)^.5*(dP)^.5)
A0.001140094
Cd0.8907164098
dP7000
Wp200
dQ/dP=0.0000077774
wQ=0.0015554725
Uncertainty in Efficiency
N overall = (Q*(P2-P1))/V*I
compvalueuncertainty
V1505
I4.500000000.5
P1-13555.1839464883200
P239500200
Q0.00409340430.0001314353
nhn(n+dn)
V0.3217426899150150.00000000010.3217426899-0.0021449509
I0.32174268994.500000004.50000000010.3217426899-0.0714978077
P10.3217426899-13555.1839464883-13555.18394648820.3217426899-0.0000061062
P20.32174268993950039500.00000000010.32174268990.0000066613
Q0.32174268990.00409340430.00409340440.3217427078.6002718467
0.0387685085
effic vs flow
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Efficiency
Pump Efficiency vs. Flow Rate
power vs flow
217.1763157112283.5061386432435.760154594658.1858607529906.1171878898
204.9797767143277.1175919053425.7185956818653.8012571094905.5688101211
194.7354653987242.8223917445413.7597238327611.8807771483860.6807946778
174.7146774377232.6673697048378.8657837799571.9247915629791.4811027862
161.4515172536216.8547584971331.6158386869491.4271730348662.5616299227
138.3480101306162.0536284031272.1656347378360.6838889367456.3154273445
97.3163411219114.9659458423158.8212948361213.2311999556263.568828987
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Power (Watts)
Pump Power to Fluid vs. Flow Rate
effic vs power
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Pump Power (Watts)
Pump Efficiency
Pump Efficiency vs. Pump Power to Fluid
Data
At=0.00114Beta=0.75Dt=0.0381mu=0.000955
Ai=0.00203rho=1000Di=0.0508
SpeedOmegaVoltageCurrentPinletPinletPoutletTorqueTorqueVenturi DPReCdVthroatFlowPower (W)HeadEfficiency
(rpm)(rad/s)(volts)(amps)(in Hg)(Pa)(Pa)(ft*lb)(N*m)(Pa)(m/s)(m3/sec)MotorPumpFluid(m)MotorPumpOverall
900.294.26872355871504.5-4.0-13555.2395003.855.27000120611.110.89074.0314.093E-03675.0492.1217.25.410.7290.4410.322
94.26872355871503.5-3.0-10166.4440003.805.26000111583.210.89013.7293.784E-03525.0485.7205.05.520.9250.4220.390
94.26872355871503.5-2.5-8472.0480003.755.15000101769.810.88933.4013.448E-03525.0479.3194.75.760.9130.4060.371
94.26872355871503.5-2.0-6777.6500003.755.1400090920.470.88823.0393.077E-03525.0479.3174.75.790.9130.3650.333
94.26872355871503.5-2.0-6777.6540003.504.7300078614.040.88682.6272.656E-03525.0447.3161.56.200.8520.3610.308
94.26872355871503.1-1.8-6099.8580003.404.6200064030.370.88472.1402.158E-03465.0434.6138.36.530.9350.3180.298
94.26872355871503.0-1.0-3388.8610003.204.3100045056.580.88041.5061.511E-03450.0409.097.36.560.9090.2380.216
94.26872355871492.00.00.0710003.104.20.00.000.00000.0000.000E+00298.0396.20.00.001.3300.0000.000
0.0
992.8103.96577288281594.1-5.0-16944.0440004.606.29000136913.710.89174.5764.652E-03651.9648.4283.56.210.9950.4370.435
103.96577288281594.1-4.5-15249.6480004.506.18000129016.780.89134.3124.381E-03651.9634.3277.16.450.9730.4370.425
103.96577288281594.0-3.0-10166.4540004.406.06000111583.210.89013.7293.784E-03636.0620.2242.86.540.9750.3920.382
103.96577288281594.0-2.5-8472.0590004.305.85000101769.810.88933.4013.448E-03636.0606.1232.76.880.9530.3840.366
103.96577288281593.9-2.5-8472.0620004.205.7400090920.470.88823.0393.077E-03620.1592.0216.97.180.9550.3660.350
103.96577288281583.5-1.5-5083.2700003.905.3200064030.370.88472.1402.158E-03553.0549.7162.17.650.9940.2950.293
103.96577288281583.5-1.2-4066.6720003.805.2100045056.580.88041.5061.511E-03553.0535.6115.07.750.9690.2150.208
103.96577288281582.10.00.0830002.503.40.00.000.00000.0000.000E+00331.8352.40.00.001.0620.0000.000
0.0
1165121.99851471441905.4-6.7-22704.9550005.807.913000164799.450.89315.5085.608E-031026.0959.4435.87.920.9350.4540.425
121.99851471441905.2-5.5-18638.4640005.707.711000151491.780.89255.0635.152E-03988.0942.8425.78.420.9540.4520.431
121.99851471441905.0-5.0-16944.0720005.507.59000136913.710.89174.5764.652E-03950.0909.7413.89.070.9580.4550.436
121.99851471441905.0-4.0-13555.2790005.307.27000120611.110.89074.0314.093E-03950.0876.7378.99.430.9230.4320.399
121.99851471441904.8-3.0-10166.4860005.207.15000101769.810.88933.4013.448E-03912.0860.1331.69.800.9430.3860.364
121.99851471441904.5-2.2-7455.4950004.906.6300078614.040.88682.6272.656E-03855.0810.5272.210.440.9480.3360.318
121.99851471441904.0-1.5-5083.21000004.606.2100045056.580.88041.5061.511E-03760.0760.9158.810.711.0010.2090.209
121.99851471441902.80.00.01120003.204.30.00.000.00000.0000.000E+00532.0529.30.00.000.9950.0000.000
0.0
1352141.58110892182187.0-9.0-30499.2690006.108.318000194157.050.89426.4896.615E-031526.01170.9658.210.140.7670.5620.431
141.58110892182186.8-7.5-25416.0830006.008.115000177120.790.89365.9206.030E-031482.41151.7653.811.050.7770.5680.441
141.58110892182186.5-5.5-18638.4950006.008.112000158283.870.89285.2905.384E-031417.01151.7611.911.580.8130.5310.432
141.58110892182186.2-5.0-16944.01060006.008.19000136913.710.89174.5764.652E-031351.61151.7571.912.530.8520.4970.423
141.58110892182185.8-3.5-11860.81180006.008.16000111583.210.89013.7293.784E-031264.41151.7491.413.240.9110.4270.389
141.58110892182185.2-2.0-6777.61290005.707.7300078614.040.88682.6272.656E-031133.61094.2360.713.840.9650.3300.318
141.58110892182185.0-1.5-5083.21360005.307.2100045056.580.88041.5061.511E-031090.01017.4213.214.380.9330.2100.196
141.58110892182183.50.00.01500004.706.40.00.000.00000.0000.000E+00763.0902.20.00.001.1820.0000.000
0.0
1530160.22122533312458.5-11.5-38971.2820006.008.123000219661.380.89497.3417.490E-032082.51303.4906.112.330.6260.6950.435
160.22122533312458.2-9.5-32193.61010006.008.119000199516.120.89436.6686.799E-032009.01303.4905.613.580.6490.6950.451
160.22122533312458.0-7.0-23721.61190006.008.115000177120.790.89365.9206.030E-031960.01303.4860.714.550.6650.6600.439
160.22122533312457.5-5.5-18638.41350006.008.111000151491.780.89255.0635.152E-031837.51303.4791.515.660.7090.6070.431
160.22122533312457.0-3.5-11860.81500006.008.17000120611.110.89074.0314.093E-031715.01303.4662.616.500.7600.5080.386
160.22122533312456.2-2.0-6777.61650005.807.9300078614.040.88682.6272.656E-031519.01259.9456.317.510.8290.3620.300
160.22122533312455.8-1.0-3388.81710005.807.9100045056.580.88041.5061.511E-031421.01259.9263.617.780.8870.2090.185
160.22122533312484.20.00.01850005.507.50.00.000.00000.0000.000E+001041.61194.80.00.001.1470.0000.000
-
Results Cont.
head vs flow
5.40827563176.21243424397.920992162110.142626287412.3314122167
5.5215482126.44745993278.423891735611.051576952113.5773253693
5.75657390086.54091620399.066664621111.583932510314.5485802147
5.78772599126.87787869189.434779199412.532515793415.6614044777
6.19547318797.18368908949.802893777813.237592859716.4995704336
6.53413178147.653740466910.443970557713.840733126717.5104578974
6.56358776627.753981160410.711844442414.38156921317.7766356765
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Head (m)
Pump Head vs. Flow Rate
uncertainty
Uncertainty in Q
wQ=((dQ/Dp)*wDp)^2)^.5)
Q=A((Cd/(1-.75^4)^.5(2/998)^.5*(dP)^.5)
A0.001140094
Cd0.8907164098
dP7000
Wp200
dQ/dP=0.0000077774
wQ=0.0015554725
Uncertainty in Efficiency
N overall = (Q*(P2-P1))/V*I
compvalueuncertainty
V1505
I4.500000000.5
P1-13555.1839464883200
P239500200
Q0.00409340430.0001314353
nhn(n+dn)
V0.3217426899150150.00000000010.3217426899-0.0021449509
I0.32174268994.500000004.50000000010.3217426899-0.0714978077
P10.3217426899-13555.1839464883-13555.18394648820.3217426899-0.0000061062
P20.32174268993950039500.00000000010.32174268990.0000066613
Q0.32174268990.00409340430.00409340440.3217427078.6002718467
0.0387685085
effic vs flow
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Efficiency
Pump Efficiency vs. Flow Rate
power vs flow
217.1763157112283.5061386432435.760154594658.1858607529906.1171878898
204.9797767143277.1175919053425.7185956818653.8012571094905.5688101211
194.7354653987242.8223917445413.7597238327611.8807771483860.6807946778
174.7146774377232.6673697048378.8657837799571.9247915629791.4811027862
161.4515172536216.8547584971331.6158386869491.4271730348662.5616299227
138.3480101306162.0536284031272.1656347378360.6838889367456.3154273445
97.3163411219114.9659458423158.8212948361213.2311999556263.568828987
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Flow Rate (m^3/s)
Pump Power (Watts)
Pump Power to Fluid vs. Flow Rate
effic vs power
0.44134957210.43723292020.45421720870.56209795920.6952030583
0.42204464790.43687762320.45153542310.56765935050.6947823247
0.40629807360.39151127550.45480956030.5312621240.6603427555
0.36452649610.3838621070.43216896560.4965705590.6072504645
0.36091510990.36629238010.38554580570.42667894390.5083391835
0.31836475170.29478295670.33580044630.32964400580.3621727028
0.23793962450.21463168660.2087348490.20958885080.2091917771
00000
900.2 RPM
992.8 RPM
1165 RPM
1352 RPM
1530 RPM
Pump Power (Watts)
Pump Efficiency
Pump Efficiency vs. Pump Power to Fluid
Data
At=0.00114Beta=0.75Dt=0.0381mu=0.000955
Ai=0.00203rho=1000Di=0.0508
SpeedOmegaVoltageCurrentPinletPinletPoutletTorqueTorqueVenturi DPReCdVthroatFlowPower (W)HeadEfficiency
(rpm)(rad/s)(volts)(amps)(in Hg)(Pa)(Pa)(ft*lb)(N*m)(Pa)(m/s)(m3/sec)MotorPumpFluid(m)MotorPumpOverall
900.294.26872355871504.5-4.0-13555.2395003.855.27000120611.110.89074.0314.093E-03675.0492.1217.25.410.7290.4410.322
94.26872355871503.5-3.0-10166.4440003.805.26000111583.210.89013.7293.784E-03525.0485.7205.05.520.9250.4220.390
94.26872355871503.5-2.5-8472.0480003.755.15000101769.810.88933.4013.448E-03525.0479.3194.75.760.9130.4060.371
94.26872355871503.5-2.0-6777.6500003.755.1400090920.470.88823.0393.077E-03525.0479.3174.75.790.9130.3650.333
94.26872355871503.5-2.0-6777.6540003.504.7300078614.040.88682.6272.656E-03525.0447.3161.56.200.8520.3610.308
94.26872355871503.1-1.8-6099.8580003.404.6200064030.370.88472.1402.158E-03465.0434.6138.36.530.9350.3180.298
94.26872355871503.0-1.0-3388.8610003.204.3100045056.580.88041.5061.511E-03450.0409.097.36.560.9090.2380.216
94.26872355871492.00.00.0710003.104.20.00.000.00000.0000.000E+00298.0396.20.00.001.3300.0000.000
0.0
992.8103.96577288281594.1-5.0-16944.0440004.606.29000136913.710.89174.5764.652E-03651.9648.4283.56.210.9950.4370.435
103.96577288281594.1-4.5-15249.6480004.506.18000129016.780.89134.3124.381E-03651.9634.3277.16.450.9730.4370.425
103.96577288281594.0-3.0-10166.4540004.406.06000111583.210.89013.7293.784E-03636.0620.2242.86.540.9750.3920.382
103.96577288281594.0-2.5-8472.0590004.305.85000101769.810.88933.4013.448E-03636.0606.1232.76.880.9530.3840.366
103.96577288281593.9-2.5-8472.0620004.205.7400090920.470.88823.0393.077E-03620.1592.0216.97.180.9550.3660.350
103.96577288281583.5-1.5-5083.2700003.905.3200064030.370.88472.1402.158E-03553.0549.7162.17.650.9940.2950.293
103.96577288281583.5-1.2-4066.6720003.805.2100045056.580.88041.5061.511E-03553.0535.6115.07.750.9690.2150.208
103.96577288281582.10.00.0830002.503.40.00.000.00000.0000.000E+00331.8352.40.00.001.0620.0000.000
0.0
1165121.99851471441905.4-6.7-22704.9550005.807.913000164799.450.89315.5085.608E-031026.0959.4435.87.920.9350.4540.425
121.99851471441905.2-5.5-18638.4640005.707.711000151491.780.89255.0635.152E-03988.0942.8425.78.420.9540.4520.431
121.99851471441905.0-5.0-16944.0720005.507.59000136913.710.89174.5764.652E-03950.0909.7413.89.070.9580.4550.436
121.99851471441905.0-4.0-13555.2790005.307.27000120611.110.89074.0314.093E-03950.0876.7378.99.430.9230.4320.399
121.99851471441904.8-3.0-10166.4860005.207.15000101769.810.88933.4013.448E-03912.0860.1331.69.800.9430.3860.364
121.99851471441904.5-2.2-7455.4950004.906.6300078614.040.88682.6272.656E-03855.0810.5272.210.440.9480.3360.318
121.99851471441904.0-1.5-5083.21000004.606.2100045056.580.88041.5061.511E-03760.0760.9158.810.711.0010.2090.209
121.99851471441902.80.00.01120003.204.30.00.000.00000.0000.000E+00532.0529.30.00.000.9950.0000.000
0.0
1352141.58110892182187.0-9.0-30499.2690006.108.318000194157.050.89426.4896.615E-031526.01170.9658.210.140.7670.5620.431
141.58110892182186.8-7.5-25416.0830006.008.115000177120.790.89365.9206.030E-031482.41151.7653.811.050.7770.5680.441
141.58110892182186.5-5.5-18638.4950006.008.112000158283.870.89285.2905.384E-031417.01151.7611.911.580.8130.5310.432
141.58110892182186.2-5.0-16944.01060006.008.19000136913.710.89174.5764.652E-031351.61151.7571.912.530.8520.4970.423
141.58110892182185.8-3.5-11860.81180006.008.16000111583.210.89013.7293.784E-031264.41151.7491.413.240.9110.4270.389
141.58110892182185.2-2.0-6777.61290005.707.7300078614.040.88682.6272.656E-031133.61094.2360.713.840.9650.3300.318
141.58110892182185.0-1.5-5083.21360005.307.2100045056.580.88041.5061.511E-031090.01017.4213.214.380.9330.2100.196
141.58110892182183.50.00.01500004.706.40.00.000.00000.0000.000E+00763.0902.20.00.001.1820.0000.000
0.0
1530160.22122533312458.5-11.5-38971.2820006.008.123000219661.380.89497.3417.490E-032082.51303.4906.112.330.6260.6950.435
160.22122533312458.2-9.5-32193.61010006.008.119000199516.120.89436.6686.799E-032009.01303.4905.613.580.6490.6950.451
160.22122533312458.0-7.0-23721.61190006.008.115000177120.790.89365.9206.030E-031960.01303.4860.714.550.6650.6600.439
160.22122533312457.5-5.5-18638.41350006.008.111000151491.780.89255.0635.152E-031837.51303.4791.515.660.7090.6070.431
160.22122533312457.0-3.5-11860.81500006.008.17000120611.110.89074.0314.093E-031715.01303.4662.616.500.7600.5080.386
160.22122533312456.2-2.0-6777.61650005.807.9300078614.040.88682.6272.656E-031519.01259.9456.317.510.8290.3620.300
160.22122533312455.8-1.0-3388.81710005.807.9100045056.580.88041.5061.511E-031421.01259.9263.617.780.8870.2090.185
160.22122533312484.20.00.01850005.507.50.00.000.00000.0000.000E+001041.61194.80.00.001.1470.0000.000
-
Conclusions and RecommendationsAll R2 were above .95 with most being above .99The best overall efficiency was approximately 70% for an RPM of 1530The use of pressure gauges and dynamometer that are less affected by vibration would improve resultsA more accurate method of recording voltage and current would also improve the results