Centrifugal Pump Date Performed: October 15, 2007 Date Submitted: October 29, 2007 By: Davinder Dhaliwal, Vineet Kapoor & Jagroop Randhawa
Summary The centrifugal pump is composed of many different parts and many different values were taken and put together at the end to find the characteristics of the pump at different rpm’s. We found out that our overall efficiency for the pump averaged around 20%. And the calculated flow of water compared to the one we read on the flow meter was within 4% error margin. Our calculate pressure change from suction to discharge to that of the one we read on the meter was within 13% error margin. So overall our readings were very close to the ones we read.
Introduction A centrifugal pump converts kinetic energy into static pressure using a rotating impeller. The rotating impellers increase the velocity of the fluid and therefore increasing the kinetic energy of the fluid. Once the shaped casing guides the fluid to the outlet, all of the kinetic energy is converted to potential energy, which increases the pressure at the pump outlet.
Experiment Procedure Refer to CHEN 302 – Centrifugal Pump Lab Manual for detailed procedure
Report 1)
TABLE OF RAW DATA
Table 1: 1500 rpm Trials 1 2 3 4 5
Weight of torque (grams) 350.0 300.0 300.0 250.0 200.0
Flow rate (GPM) 21 19 15 9 0
Differential Pressure (lbs/in2) 4.5 4.7 4.7 4.9 5.1
Suction (inHg)
Discharge ( lbs/in2)
Voltage (Watts)
0 0 0 0 0
5.0 5.5 5.8 6.2 6.5
250 250 220 200 175
Differential Pressure (lbs/in2) 7.5 8.0 8.5 8.9 9.5
Suction (inHg)
Discharge (lbs/in2)
Voltage (watts)
0.5 1.1 0 0 0
8.2 10 11 12 13
600 570 550 510 390
Differential Pressure (lbs/in2) 11.9 12.1 12.6 13.8 14.3
Suction (inHg)
Discharge (lbs/in2)
Voltage (Watts)
3 2 1.5 0 0
13.5 14.2 16.1 19.5 21.0
1090 1000 940 860 660
Table 2: 2000 rpm Trials 1 2 3 4 5
Weight of torque (grams) 650.0 600.0 555.0 500.0 350.0
Flow rate (GPM) 38 34 28 19 0
Table 3: 2500 rpm Trials 1 2 3 4 5
Weight of torque (grams) 1050 950 850 750 550
Flow rate (GPM) 52 45 38 23 0
Comments: At 1500 rpm the discharge and suction pressure doesn’t equal to the differential pressure reading but as the rpm was increased to 2000 rpm the sum of suction and discharge pressure was very close to differential pressure reading. Table 4: Accuracy flow meter Flow meter (gpm) 49 40.5 29 20 10
Tank Depth (inches) 3.5 6.6 7.5 8.7 9.5
lbs of H2O (From Graph) 72 112 128 144 154
Time (sec) 11 20 36 54 110
Comments: Reading from the flow meter and calculated flow by timing were very close to each other. You can see the comparison in Table 12. 2)
PUMP PERFORMANCE CURVE
3)
CALCULATIONS
1. Pump Performance a) Calculate head in meters from the observed differential pressure. Table 5: Head Calculations 1500rpm
2000rpm
2500rpm
Differential Pressure (lbs/in2)
head (m)
Differential Pressure (lbs/in2)
head (m)
Differential Pressure (lbs/in2)
head (m)
4.50
3.16
7.50
5.27
11.90
8.37
4.70
3.30
8.00
5.62
12.10
8.51
4.70
3.30
8.50
5.98
12.60
8.86
4.90
3.44
8.90
6.26
13.80
9.70
5.10
3.59
9.50
6.68
14.30
10.05
Flow Rate (m3/s) 0.00328068
b) Convert observed flow in gpm to m3/s Table 6: Flow Rate in m3/s 1500rpm Flow Rate (gpm) 21
Flow Rate (m3/s) 0.00132489
2000rpm Flow Rate (gpm) 38
Flow Rate (m3/s) 0.00239742
2500rpm Flow Rate (gpm) 52
19
0.00119871
34
0.00214506
45
0.00283905
15
0.00094635
28
0.00176652
38
0.00239742
9
0.00056781
19
0.00119871
23
0.00145107
0
0
0
0
0
0
c) Calculate hydraulic power (delivered to fluid by the pump) Table 7: Calculating Hydraulic Power 1500rpm
2000rpm
Flow
Flow
2500rpm
3
Head (m)
Hydraulic Power (kW)
Flow 3 (m /s)
Head (m)
Hydraulic Power (kW)
0.0411
0.0024
5.2726
0.1240
0.0033
8.3658
0.2692
3.3042
0.0389
0.0021
5.6241
0.1183
0.0028
8.5065
0.2369
0.0009
3.3042
0.0307
0.0018
5.9756
0.1036
0.0024
8.8580
0.2083
0.0006
3.4448
0.0192
0.0012
6.2568
0.0736
0.0015
9.7016
0.1381
0.0000
3.5854
0.0000
0.0000
6.6786
0.0000
0.0000
10.053
0.0000
3
Head (m)
Hydraulic Power (kW)
0.0013
3.1636
0.0012
(m
/s)
(m
/s)
d) Calculate Shaft Power Table 8: Calculating Shaft Power 1500rpm
2000rpm
2500rpm
Mass of Weights (kg)
Shaft Power (W)
Mass of Weights (kg)
Shaft Power (W)
Mass of Weights (kg)
Shaft Power (W)
0.350
164.389
0.650
407.058
1.050
821.943
0.300
140.905
0.600
375.746
0.950
743.663
0.300
140.905
0.555
347.565
0.850
665.383
0.250
117.420
0.500
313.121
0.750
587.102
0.200
93.936
0.350
219.185
0.550
430.542
e) Efficiency Calculations Table 9: Calculating Hydraulic Efficiency 1500rpm
2000rpm
2500rpm
Hydraulic Power (W)
Shaft Power (W)
Hydraulic Efficiency (%)
Hydraulic Power (W)
Shaft Power (W)
Hydraulic Efficiency (%)
Hydraulic Power (W)
Shaft Power (W)
Hydraulic Efficiency (%)
41.117
164.389
25.012
124.004
407.058
30.464
269.242
821.943
32.757
38.855
140.905
27.575
118.348
375.746
31.497
236.914
743.663
31.858
30.675
140.905
21.770
103.555
347.565
29.794
208.328
665.383
31.309
19.188
117.420
16.341
73.576
313.121
23.498
138.102
587.102
23.523
0.000
93.936
0.000
0.000
219.185
0.000
0.000
430.542
0.000
WaltMeter reading (W)
Motor Efficiency (%)
Table 10: Calculating Motor Efficiency 1500rpm Shaft Power (W)
WaltMeter reading (W)
Motor Efficiency (%)
2000rpm Shaft Power (W)
WaltMeter reading (W)
Motor Efficiency (%)
2500rpm Shaft Power (W)
164.39
250
65.76
140.90
250
56.36
407.06
600
67.84
821.94
1090
75.41
375.75
570
65.92
743.66
1000
74.37
140.90
220
64.05
347.56
550
63.19
665.38
940
70.79
117.42
200
58.71
313.12
510
61.40
587.10
860
68.27
93.94
175
53.68
219.18
390
56.20
430.54
660
65.23
WaltMeter reading (W)
Overall Efficiency (%)
Table 11: Calculating Overall Efficiency 1500rpm Hydraulic Power (W)
Overall Efficiency (%)
2000rpm Hydraulic Power (W)
WaltMeter reading (W)
Overall Efficiency (%)
2500rpm Hydraulic Power (W)
WaltMeter reading (W)
41.117
250
16.447
124.004
600
20.667
269.242
1090
24.701
38.855
250
15.542
118.348
570
20.763
236.914
1000
23.691
30.675
220
13.943
103.555
550
18.828
208.328
940
22.163
19.188
200
9.594
73.576
510
14.427
138.102
860
16.058
0.000
175
0.000
0.000
390
0.000
0.000
660
0.000
EFFICIENCY NUMBERS ON PUMP PERFORMANCE CURVES
i. HYDRAULIC EFFICIENCY TREND
II. MOTOR EFFICIENCY TREND
III
OVERALL EFFICIENCY TREND
COMMENT: From the above curves it can be noticed that both hydraulic efficiency and overall efficiency are going up as the capacity of the pumps are increasing. However, the motor efficiency is keeping steady as the flow rate increases. 4)
ACCURACY OF FLOW METER
TABLE 12: CALCULATION OF FLOW OF WATER Flow of Water (lb/s)
Calculated Flow of Water (gpm)
Actual Flow of Water (gpm)
6.55 5.6
47.08 40.28
3.56 2.67 1.4
25.58 19.18 10.07
49 40.5 29 20 10
Comment: Calculated flow of water was very close to the actual measured flow of water.
6) Calculate differential pressure from suction and discharge pressure gauges. Table 13: Calculated Differential Pressure at 1500rpm Differential Pressure (lbs/in2)
Suction (inHg)
Discharge ( lbs/in2)
Calculated ( lbs/in2)
4.5 4.7 4.7 4.9 5.1
0 0 0 0 0
5 5.5 5.8 6.2 6.5
5 5.5 5.8 6.2 6.5
Table 14: Calculated Differential Pressure at 2000rpm Differential Pressure (lbs/in2) 7.5 8 8.5 8.9 9.5
Suction (inHg)
Discharge ( lbs/in2)
Calculated ( lbs/in2)
0.5 1.1 0 0 0
8.2 10 11 12 13
8.45 9.46 11 12 9.5
Table 15: Calculated Differential Pressure at 1500rpm Differential Pressure (lbs/in2) 11.9
Suction (inHg)
Discharge ( lbs/in2)
Calculated ( lbs/in2)
3
13.5
12.03
12.1
2
14.2
13.22
12.6
1.5
16.1
15.4
13.8
0
19.5
19.5
14.3
0
21
21
Comment: As differential pressure is increased, error is reduced.
7) PRIMING THE PUMP A pump starting out full or air might not have enough pressure to pump put the air, therefore it will never achieve the flow of liquid. To prime the pump, an operator should fill the pump up with the liquid to remove all the air. Usually there is a check valve fitted in the suction line so that the liquid will not drain out if the pump is stopped. The reason to do pump prim is that if there were vapours present in the pump while the motor is on, the impeller of the pump becomes gas-bound and the pump will be powerless. 8) CAVITATION At high flow rate and high rpm we noticed a white strip. The pump sounded different and we could hear growling sounds and vibration. As the suction valve was closed the liquid inside the pump started vaporizing due to pressure drop to vapor pressure limit. Some bubbles could also be seen in the pump. 9) The calculated NPSHA for the pump was 7.59m.
Conclusion •
When operating the pump, we need to first prime the pump therefore the data won’t have a high % error in calculations
•
When cavitation occurs within the pump, to correct it you must change operating conditions such as increasing suction pressure and maintaining pipe lines.
•
The pump has a better efficiency when running at higher rpm’s
•
The measured flow rate and the calculated flow rate were not the same due to equipment.
•
The differential pressure measured and the differential pressure calculated was not equal due to lack of pressure sensitivity in pressure gauges.
Recommendations
Using gauges which sense lower pressure and this will provide more accurate readings.
Torque arm sometimes got stuck while weights were placed on it, a digital weighing machine will provide more accurate results.
References •
Centrifugal Pump Lab Module Chen 302
•
Applied Fluid Mechanics Text Book pg.407