centrifugal pump performance experiment presented by: steven king me 498 senior lab november 16,...

Centrifugal Pump Performance ExperimentPresented by: Steven King

ME 498 Senior labNovember 16, 2004

Overview of PresentationObjectivesMethodology and BackgroundExperimental SetupDiscussion of ResultsConclusions and Recommendations

ObjectivesBecome familiar with centrifugal pump operationAnalyze the principles of fluid flow at 5 different shaft speedsEvaluate pump performance

Methodology and BackgroundKey Equations

Assumptions: = .75, =998, and =9.55x10-4P and was recorded during experiment.(1)(2)(3)(4)(5)0

Methodology and BackgroundCont.Affinity Laws

Key Equations Continued(6)(7)

Experimental SetupOverall System Schematic

Experimental Setup

Experimental Setup Cont.

Experimental Setup Cont.= 1.5 in= 2 inVenturi Flow Meter

ResultsUncertainty Values for ExperimentwQ = 38.0%w = 39.7%Affinity Law Results

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