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Centrifugal Pumping 1 Name of Institution CE 320 Water Resources Engineering Spring Semester 2018
Lab 6 – Pump Performance Characteristics (Group A)
Student`s Name: Experiment Date: Report Due Date: Date Report Submitted:
Centrifugal Pumping 2 Results Table 1 – Pump Characteristics at 1800 rpm from Closing Discharge Valve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
62.68
27.3018
0.86970
0
28.1716
59.77125
1.554464
1
62.32571
34.15412
62.04
27.5606
0.85203
0
28.4126
60.3372
1.52288
1
62.8600
34.4474
61.16
27.7638
0.82803
0
28.5919
61.0186
1.47998
1
63.4986
34.9067
60.1
27.9001
0.79958
0
28.6997
61.6308
1.42912
1
64.0599
35.6016
58.88
28.1565
0.76745
0
28.9240
62.5086
1.37169
1
64.8803
35.95626
56.8
28.5585
0.71418
0
29.2727
63.7213
1.27649
1
65.9985
36.72513
55.46
28.7271
0.68088
0
29.4080
64.1949
1.21697
1
66.4118
37.0038
53.35
29.0205
0.63006
0
29.6505
65.3037
1.12613
1
67.4298
37.7792
52.36
29.1291
0.60689
0
29.736
65.7079
1.08473
1
67.7926
38.0566
49.17
29.4825
0.5352
0
30.0177
66.528
0.956584
1
68.4845
38.4668
47.57
29.7250
0.50093
0
30.2260
67.1401
0.89534
1
69.0354
38.8094
45.09
30.1270
0.45006
0
30.5770
68.3067
0.80442
1
70.1111
39.5340
42.83
30.3095
0.40608
0
30.7155
68.8149
0.72580
1
70.5407
39.8251
37.78
30.8523
0.31596
0
31.1683
69.9121
0.56473
1
71.4768
40.3085
34.86
31.1803
0.26901
0
31.4493
70.4781
0.48081
1
71.9589
40.5095
30.86
31.5130
0.21081
0
31.7238
71.2288
0.37680
1
72.6056
40.8818
28.41
31.6608
0.17867
0
31.8395
71.5869
0.31934
1
72.9062
41.0667
22.02 21.03
32.0489
0.10733
0
32.1562
72.6264
0.19184
1
73.8182
41.6619
32.0951
0.09790
0
32.1930
72.7881
0.17498
1
73.9630
41.7700
32.3607
0.05997
0
32.4207
74.02395
0.107197
1
75.13115
42.71038
32.5248
0.006696
0
32.5315
75.22515
0.011969
1
76.23712
43.70562
16.46 5.5
Centrifugal Pumping 3 Table 2 – Pump Characteristics at 1600 rpm from Closing Discharge Valve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
55.43
28.496
0.680
0
29.176
53.973
1.216
1
56.189
27.012
54.34
28.598
0.654
0
29.251
54.516
1.168
1
56.684
27.433
53.79
28.619
0.640
0
29.259
54.886
1.145
1
57.030
27.771
52.7
28.898
0.615
0
29.513
55.532
1.099
1
57.631
28.118
51.41
29.155
0.585
0
29.740
56.295
1.046
1
58.340
28.601
48.88
29.483
0.529
0
30.011
57.334
0.945
1
59.280
29.268
43.4
30.162
0.417
0
30.579
59.367
0.745
1
61.112
30.534
38.22
30.765
0.323
0
31.088
60.869
0.578
1
62.446
31.359
36.46
30.956
0.294
0
31.251
61.388
0.526
1
62.914
31.664
33.22
31.227
0.244
0
31.471
61.908
0.437
1
63.345
31.874
31.69
31.451
0.222
0
31.673
62.185
0.397
1
63.583
31.910
25.39
31.885
0.143
0
32.028
63.155
0.255
1
64.410
32.383
21.73
32.091
0.105
0
32.195
63.687
0.187
1
64.874
32.678
18.49
32.294
0.076
0
32.369
64.206
0.135
1
65.342
32.972
16.58
32.361
0.061
0
32.422
64.541
0.109
1
65.650
33.229
7.74
32.532
0.013
0
32.545
65.743
0.024
1
66.766
34.221
Table 3 – System Operating Curve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
32.84
31.282
0.239
0
31.521
70.732
0.427
1
72.159
40.638
29.03
31.587
0.187
0
31.773
62.520
0.333
1
63.854
32.080
25.37
31.818
0.142
0
31.960
55.186
0.255
1
56.441
24.480
21.44
32.042
0.102
0
32.144
48.810
0.182
1
49.992
17.848
Centrifugal Pumping 4
17.79
32.301
0.070
0
32.371
43.440
0.125
1
44.565
12.194
14.2
32.435
0.045
0
32.479
39.004
0.080
1
40.084
7.605
10.37
32.504
0.024
0
32.528
35.539
0.043
1
36.582
4.054
4.25
32.564
0.004
0
32.568
33.114
0.007
1
34.121
1.553
Table 4 – Pump Characteristics at 1800 rpm from Closing Suction Valve Flowrate HPin HVin
HZin TSDH HPout HVout HZout TDDH TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
62.55 27.369
0.866
0
28.235
59.910
1.546
1
62.456 34.221
62.1 27.561
0.854
0
28.414
59.852
1.524
1
62.376 33.962
62.26 27.533
0.858
0
28.391
59.748
1.532
1
62.280 33.889
62.42 27.471
0.863
0
28.333
59.760
1.540
1
62.300 33.966
62.33 27.383
0.860
0
28.243
59.783
1.535
1
62.318 34.075
62.03 26.995
0.852
0
27.846
59.402
1.521
1
61.922 34.076
61.72 26.228
0.843
0
27.071
59.113
1.505
1
61.618 34.547
61.69 26.154
0.842
0
26.996
59.067
1.504
1
61.571 34.574
61.51 25.426
0.838
0
26.264
58.743
1.495
1
61.239 34.975
60.55 24.498
0.812
0
25.309
58.235
1.449
1
60.684 35.375
59.41 22.818
0.781
0
23.600
57.092
1.395
1
59.487 35.887
57.98 21.162
0.744
0
21.906
55.960
1.329
1
58.288 36.382
56.88 19.817
0.716
0
20.534
54.759
1.279
1
57.037 36.503
55.92 18.540
0.692
0
19.232
54.089
1.236
1
56.324 37.092
54 16.660
0.646
0
17.305
52.726
1.152
1
54.878 37.573
51.52 14.160
0.588
0
14.748
51.155
1.049
1
53.204 38.456
50.03 12.673
0.554
0
13.227
49.988
0.989
1
51.978 38.751
47.59 10.908
0.501
0
11.409
48.348
0.895
1
50.243 38.834
45.44
0.457
0
9.163
46.997
0.816
1
48.813 39.649
8.706
Centrifugal Pumping 5
42.51
7.159
0.400
0
7.559
45.241
0.714
1
46.956 39.397
39.47
6.147
0.345
0
6.492
43.301
0.616
1
44.917 38.425
36.59 10.016
0.296
0
10.313
41.557
0.529
1
43.086 32.773
35.63
6.364
0.281
0
6.645
40.979
0.502
1
42.481 35.836
34.81
4.264
0.268
0
4.533
40.321
0.479
1
41.800 37.267
33.01
2.342
0.241
0
2.584
39.339
0.431
1
40.770 38.186
31.42
1.719
0.219
0
1.937
38.693
0.390
1
40.083 38.145
29.59
1.656
0.194
0
1.850
37.896
0.346
1
39.242 37.391
27.73
7.905
0.170
0
8.075
37.179
0.304
1
38.483 30.408
26.3
9.004
0.153
0
9.157
36.683
0.273
1
37.956 28.799
25.08
6.533
0.139
0
6.672
36.186
0.249
1
37.435 30.763
23.42
4.449
0.121
0
4.570
35.516
0.217
1
36.733 32.163
21.47
3.701
0.102
0
3.803
35.089
0.182
1
36.271 32.468
19.28
3.130
0.082
0
3.212
34.280
0.147
1
35.427 32.215
16.5 10.656
0.060
0
10.716
33.541
0.108
1
34.649 23.932
Table 5 – Net Positive Suction Head at 1800 rpm from Closing Suction Flowrate HPin HVin
HVP
(GPM)
70f (ft) (ft)
(ft)
(ft)
NPSHa
62.55 27.369
0.866
0.84
27.395
62.1 27.561
0.854
0.84
27.574
62.26 27.533
0.858
0.84
27.551
62.42 27.471
0.863
0.84
27.493
62.33 27.383
0.860
0.84
27.403
62.03 26.995
0.852
0.84
27.006
61.72 26.228
0.843
0.84
26.231
61.69 26.154
0.842
0.84
26.156
Centrifugal Pumping 6
61.51 25.426
0.838
0.84
25.424
60.55 24.498
0.812
0.84
24.469
59.41 22.818
0.781
0.84
22.760
57.98 21.162
0.744
0.84
21.066
56.88 19.817
0.716
0.84
19.694
55.92 18.540
0.692
0.84
18.392
54 16.660
0.646
0.84
16.465
51.52 14.160
0.588
0.84
13.908
50.03 12.673
0.554
0.84
12.387
47.59 10.908
0.501
0.84
10.569
45.44
8.706
0.457
0.84
8.323
42.51
7.159
0.400
0.84
6.719
39.47
6.147
0.345
0.84
5.652
36.59 10.016
0.296
0.84
9.473
35.63
6.364
0.281
0.84
5.805
34.81
4.264
0.268
0.84
3.693
33.01
2.342
0.241
0.84
1.744
31.42
1.719
0.219
0.84
1.097
29.59
1.656
0.194
0.84
1.010
27.73
7.905
0.170
0.84
7.235
26.3
9.004
0.153
0.84
8.317
25.08
6.533
0.139
0.84
5.832
23.42
4.449
0.121
0.84
3.730
21.47
3.701
0.102
0.84
2.963
19.28
3.130
0.082
0.84
2.372
16.5 10.656
0.060
0.84
9.876
Centrifugal Pumping 7
Figure 1 – Pump Characteristics and System Operating Curve
Figure 2 – Net Positive Suction Head Required
Centrifugal Pumping 8 Findings a. The operating point for the black pump at 1800 rpm was observed to be at a TDH of 42ft while that of 1600 rpm was found to be at 33ft (fig 1). The Net Positive Suction Head required (NPSHr) for the black pump was observed to be 5ft (fig 2). Appendices Appendix A Hand Calculations 1800 rpm first reading a) Suction pressure head (HP)
ℎ𝑝 =
2.31 ∗ 𝑃 𝑆𝐺
P = absolute pressure (Psi) = (gauge pressure + atm pressure, 14.7 psia) SG = 1 (specific gravity of water)
ℎ𝑝𝑖𝑛 =
2.31 ∗ (−2.881 + 14.7) = 27.301𝑓𝑡 1
ℎ𝑝𝑜𝑢𝑡 =
2.31 ∗ (11.175 + 14.7) = 59.771𝑓𝑡 1
b) Velocity head (HV) 0.002593 ∗ 𝐺𝑃𝑀2 ℎ𝑣 = 𝐼𝐷4
ℎ𝑣𝑖𝑛 =
0.002593 ∗ 62.682 = 0.87𝑓𝑡 1.854
Centrifugal Pumping 9
ℎ𝑣𝑜𝑢𝑡
0.002593 ∗ 62.682 = = 1.554𝑓𝑡 1.64
c) Static head (HZ) ℎ𝑧𝑖𝑛 = 0𝑓𝑡 ℎ𝑧𝑜𝑢𝑡= 1𝑓𝑡 TDSH = hvin+hpin+hzin= 0.87 + 27.301 + 0 = 28.172ft TDDH = hvout+hpout+hzout= 1.554 + 59.771 + 1 = 62.326ft TDH = TDDH – TDSH = 62.326 – 28.172 = 34.154ft d) Brake horsepower
𝑏𝐻𝑝 =
𝑇𝑜𝑟𝑞𝑢𝑒 ∗ 𝑅𝑃𝑀 5252
𝑏𝐻𝑝 =
1.77 ∗ 1790 = 0.603 5252
𝑤𝐻𝑝 =
𝐺𝑃𝑀 ∗ 𝑇𝐷𝐻 ∗ 𝑆𝐺 3960
e) Water horsepower (wHp)
𝑤𝐻𝑝 =
62.68 ∗ 34.15 ∗ 1 = 0.54 3960
f) Efficiency
𝑛=
𝑤𝐻𝑝 ∗ 100 𝑏𝐻𝑝
Centrifugal Pumping 10
𝑛=
0.54 ∗ 100 = 89.6% 0.603
g) NPSH 𝑁𝑆𝑃𝐻 = (𝐻𝑃𝑖𝑛 + 𝐻𝑉𝑖𝑛)𝑇𝐷𝑆𝐻 − 𝐻𝑉𝑃 𝑁𝑆𝑃𝐻 = 28.17 − 0.84 = 27.33𝑓𝑡 Appendix B Excel Spreadsheets 1800 rpm analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) 27.30189 0.869708 0 28.1716 59.77125 1.554464 1 62.32571 34.15412 27.56061 0.852038 0 28.41265 60.3372 1.522882 1 62.86008 34.44743 27.76389 0.828039 0 28.59193 61.01865 1.479986 1 63.49864 34.90671 27.90018 0.799585 0 28.69976 61.6308 1.429129 1 64.05993 35.36016 28.15659 0.767452 0 28.92404 62.5086 1.371697 1 64.8803 35.95626 28.55853 0.714188 0 29.27272 63.72135 1.276495 1 65.99785 36.72513 28.72716 0.680887 0 29.40805 64.1949 1.216977 1 66.41188 37.00383 29.02053 0.630064 0 29.65059 65.3037 1.126138 1 67.42984 37.77924 29.12910 0.606897 0 29.736 65.70795 1.084731 1 67.79268 38.05668 29.48253 0.5352 0 30.01773 66.528 0.956584 1 68.48458 38.46685 29.72508 0.500936 0 30.22602 67.14015 0.895342 1 69.03549 38.80948 30.12702 0.450066 0 30.57709 68.3067 0.80442 1 70.11112 39.53403 30.30951 0.40608 0 30.71559 68.8149 0.725803 1 70.5407 39.82511 30.85236 0.315965 0 31.16833 69.91215 0.564737 1 71.47689 40.30856 31.18038 0.269011 0 31.44939 70.4781 0.480814 1 71.95891 40.50952 31.51302 0.210818 0 31.72384 71.22885 0.376803 1 72.60565 40.88182 31.66086 0.178673 0 31.83953 71.5869 0.319349 1 72.90625 41.06672 32.04894 0.107337 0 32.15628 72.6264 0.191848 1 73.81825 41.66197 32.09514 0.097903 0 32.19304 72.7881 0.174985 1 73.96309 41.77004 32.36079 0.059976 0 32.42077 74.02395 0.107197 1 75.13115 42.71038 32.52480 0.006696 0 32.5315 75.22515 0.011969 1 76.23712 43.70562
Bhp Whp n% 0.603256 0.540601 89.61388 0.603256 0.539676 89.46062 0.603256 0.539115 89.3675 0.578035 0.536653 92.84091 0.578035 0.534622 92.4896 0.553464 0.526764 95.17592 0.528229 0.51824 98.10905 0.528229 0.50897 96.3541 0.502994 0.503194 100.0397 0.503275 0.47763 94.90441 0.478026 0.466204 97.52688 0.453371 0.450149 99.28932 0.428108 0.430735 100.6136 0.377792 0.38456 101.7914 0.352856 0.356607 101.0628 0.327762 0.318589 97.20141 0.30247 0.294623 97.4054 0.277334 0.231666 83.53327 0.25237 0.221824 87.89639 0.227065 0.177529 78.18409 0.201872 0.060702 30.06972
Centrifugal Pumping 11
1600 rpm analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% 28.496 0.680 0 29.176 53.973 1.216 1 56.189 27.012 0.4025 0.378107 93.92864 28.598 0.654 0 29.251 54.516 1.168 1 56.684 27.433 0.4025 0.37644 93.51452 28.619 0.640 0 29.259 54.886 1.145 1 57.030 27.771 0.4025 0.377227 93.71005 28.898 0.615 0 29.513 55.532 1.099 1 57.631 28.118 0.3804 0.374201 98.38226 29.155 0.585 0 29.740 56.295 1.046 1 58.340 28.601 0.3804 0.371305 97.62086 29.483 0.529 0 30.011 57.334 0.945 1 59.280 29.268 0.3579 0.361269 100.9386 30.162 0.417 0 30.579 59.367 0.745 1 61.112 30.534 0.3357 0.334636 99.69058 30.765 0.323 0 31.088 60.869 0.578 1 62.446 31.359 0.2911 0.302657 103.9846 30.956 0.294 0 31.251 61.388 0.526 1 62.914 31.664 0.2912 0.291529 100.0985 31.227 0.244 0 31.471 61.908 0.437 1 63.345 31.874 0.2688 0.267385 99.48521 31.451 0.222 0 31.673 62.185 0.397 1 63.583 31.910 0.2463 0.255357 103.6791 31.885 0.143 0 32.028 63.155 0.255 1 64.410 32.383 0.2018 0.207626 102.8978 32.091 0.105 0 32.195 63.687 0.187 1 64.874 32.678 0.2018 0.179319 88.86897 32.294 0.076 0 32.369 64.206 0.135 1 65.342 32.972 0.1794 0.153954 85.81396 32.361 0.061 0 32.422 64.541 0.109 1 65.650 33.229 0.1794 0.139123 77.54756 32.532 0.013 0 32.545 65.743 0.024 1 66.766 34.221 0.1569 0.066887 42.62972
System curve analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% 31.282 0.239 0 31.521 70.732 0.427 1 72.159 40.638 0.352856 0.337009 95.5089 31.587 0.187 0 31.773 62.520 0.333 1 63.854 32.080 0.246296 0.235173 95.48401 31.818 0.142 0 31.960 55.186 0.255 1 56.441 24.480 0.176494 0.156834 88.86084 32.042 0.102 0 32.144 48.810 0.182 1 49.992 17.848 0.117603 0.096634 82.16937 32.301 0.070 0 32.371 43.440 0.125 1 44.565 12.194 0.08418 0.054781 65.07538 32.435 0.045 0 32.479 39.004 0.080 1 40.084 7.605 0.056067 0.02727 48.63798 32.504 0.024 0 32.528 35.539 0.043 1 36.582 4.054 0.042015 0.010616 25.26814 32.564 0.004 0 32.568 33.114 0.007 1 34.121 1.553 0.039005 0.001667 4.272968
Centrifugal Pumping 12
1800 rpm cavitation analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% hvp 70F (ft)NPSHa (ft) 27.369 0.866 0 28.235 59.910 1.546 1 62.456 34.221 0.603256 0.540538 89.6034 0.84 27.395 27.561 0.854 0 28.414 59.852 1.524 1 62.376 33.962 0.603256 0.532584 88.28489 0.84 27.574 27.533 0.858 0 28.391 59.748 1.532 1 62.280 33.889 0.603256 0.532812 88.3227 0.84 27.551 27.471 0.863 0 28.333 59.760 1.540 1 62.300 33.966 0.603256 0.535401 88.75188 0.84 27.493 27.383 0.860 0 28.243 59.783 1.535 1 62.318 34.075 0.603256 0.536344 88.90813 0.84 27.403 26.995 0.852 0 27.846 59.402 1.521 1 61.922 34.076 0.603256 0.533769 88.48136 0.84 27.006 26.228 0.843 0 27.071 59.113 1.505 1 61.618 34.547 0.603256 0.53845 89.25735 0.84 26.231 26.154 0.842 0 26.996 59.067 1.504 1 61.571 34.574 0.603256 0.53861 89.28388 0.84 26.156 25.426 0.838 0 26.264 58.743 1.495 1 61.239 34.975 0.578035 0.543258 93.98358 0.84 25.424 24.498 0.812 0 25.309 58.235 1.449 1 60.684 35.375 0.578035 0.540896 93.57498 0.84 24.469 22.818 0.781 0 23.600 57.092 1.395 1 59.487 35.887 0.578035 0.538396 93.14245 0.84 22.760 21.162 0.744 0 21.906 55.960 1.329 1 58.288 36.382 0.553464 0.532687 96.24602 0.84 21.066 19.817 0.716 0 20.534 54.759 1.279 1 57.037 36.503 0.553464 0.524323 94.73472 0.84 19.694 18.540 0.692 0 19.232 54.089 1.236 1 56.324 37.092 0.553464 0.523787 94.63786 0.84 18.392 16.660 0.646 0 17.305 52.726 1.152 1 54.878 37.573 0.528229 0.512358 96.99545 0.84 16.465 14.160 0.588 0 14.748 51.155 1.049 1 53.204 38.456 0.503275 0.500317 99.41231 0.84 13.908 12.673 0.554 0 13.227 49.988 0.989 1 51.978 38.751 0.503275 0.489572 97.27723 0.84 12.387 10.908 0.501 0 11.409 48.348 0.895 1 50.243 38.834 0.478026 0.466697 97.62999 0.84 10.569 8.706 0.457 0 9.163 46.997 0.816 1 48.813 39.649 0.453118 0.454968 100.4083 0.84 8.323 7.159 0.400 0 7.559 45.241 0.714 1 46.956 39.397 0.428108 0.422919 98.78789 0.84 6.719 6.147 0.345 0 6.492 43.301 0.616 1 44.917 38.425 0.402845 0.382987 95.07067 0.84 5.652 10.016 0.296 0 10.313 41.557 0.529 1 43.086 32.773 0.377792 0.302824 80.15615 0.84 9.473 6.364 0.281 0 6.645 40.979 0.502 1 42.481 35.836 0.377792 0.322434 85.34689 0.84 5.805 4.264 0.268 0 4.533 40.321 0.479 1 41.800 37.267 0.352856 0.327596 92.84109 0.84 3.693 2.342 0.241 0 2.584 39.339 0.431 1 40.770 38.186 0.352856 0.318316 90.21127 0.84 1.744 1.719 0.219 0 1.937 38.693 0.390 1 40.083 38.145 0.352856 0.302659 85.77406 0.84 1.097 1.656 0.194 0 1.850 37.896 0.346 1 39.242 37.391 0.327762 0.279397 85.24406 0.84 1.010 7.905 0.170 0 8.075 37.179 0.304 1 38.483 30.408 0.30247 0.212935 70.39857 0.84 7.235 9.004 0.153 0 9.157 36.683 0.273 1 37.956 28.799 0.30247 0.191264 63.23388 0.84 8.317 6.533 0.139 0 6.672 36.186 0.249 1 37.435 30.763 0.30247 0.194831 64.41328 0.84 5.832 4.449 0.121 0 4.570 35.516 0.217 1 36.733 32.163 0.277179 0.190214 68.62485 0.84 3.730 3.701 0.102 0 3.803 35.089 0.182 1 36.271 32.468 0.277179 0.176035 63.5093 0.84 2.963 3.130 0.082 0 3.212 34.280 0.147 1 35.427 32.215 0.25237 0.156845 62.14863 0.84 2.372 10.656 0.060 0 10.716 33.541 0.108 1 34.649 23.932 0.227065 0.099719 43.91643 0.84 9.876
Lab 6 – Pump Performance Characteristics (Group A)
Student`s Name: Experiment Date: Report Due Date: Date Report Submitted:
Centrifugal Pumping 2 Results Table 1 – Pump Characteristics at 1800 rpm from Closing Discharge Valve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
62.68
27.3018
0.86970
0
28.1716
59.77125
1.554464
1
62.32571
34.15412
62.04
27.5606
0.85203
0
28.4126
60.3372
1.52288
1
62.8600
34.4474
61.16
27.7638
0.82803
0
28.5919
61.0186
1.47998
1
63.4986
34.9067
60.1
27.9001
0.79958
0
28.6997
61.6308
1.42912
1
64.0599
35.6016
58.88
28.1565
0.76745
0
28.9240
62.5086
1.37169
1
64.8803
35.95626
56.8
28.5585
0.71418
0
29.2727
63.7213
1.27649
1
65.9985
36.72513
55.46
28.7271
0.68088
0
29.4080
64.1949
1.21697
1
66.4118
37.0038
53.35
29.0205
0.63006
0
29.6505
65.3037
1.12613
1
67.4298
37.7792
52.36
29.1291
0.60689
0
29.736
65.7079
1.08473
1
67.7926
38.0566
49.17
29.4825
0.5352
0
30.0177
66.528
0.956584
1
68.4845
38.4668
47.57
29.7250
0.50093
0
30.2260
67.1401
0.89534
1
69.0354
38.8094
45.09
30.1270
0.45006
0
30.5770
68.3067
0.80442
1
70.1111
39.5340
42.83
30.3095
0.40608
0
30.7155
68.8149
0.72580
1
70.5407
39.8251
37.78
30.8523
0.31596
0
31.1683
69.9121
0.56473
1
71.4768
40.3085
34.86
31.1803
0.26901
0
31.4493
70.4781
0.48081
1
71.9589
40.5095
30.86
31.5130
0.21081
0
31.7238
71.2288
0.37680
1
72.6056
40.8818
28.41
31.6608
0.17867
0
31.8395
71.5869
0.31934
1
72.9062
41.0667
22.02 21.03
32.0489
0.10733
0
32.1562
72.6264
0.19184
1
73.8182
41.6619
32.0951
0.09790
0
32.1930
72.7881
0.17498
1
73.9630
41.7700
32.3607
0.05997
0
32.4207
74.02395
0.107197
1
75.13115
42.71038
32.5248
0.006696
0
32.5315
75.22515
0.011969
1
76.23712
43.70562
16.46 5.5
Centrifugal Pumping 3 Table 2 – Pump Characteristics at 1600 rpm from Closing Discharge Valve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
55.43
28.496
0.680
0
29.176
53.973
1.216
1
56.189
27.012
54.34
28.598
0.654
0
29.251
54.516
1.168
1
56.684
27.433
53.79
28.619
0.640
0
29.259
54.886
1.145
1
57.030
27.771
52.7
28.898
0.615
0
29.513
55.532
1.099
1
57.631
28.118
51.41
29.155
0.585
0
29.740
56.295
1.046
1
58.340
28.601
48.88
29.483
0.529
0
30.011
57.334
0.945
1
59.280
29.268
43.4
30.162
0.417
0
30.579
59.367
0.745
1
61.112
30.534
38.22
30.765
0.323
0
31.088
60.869
0.578
1
62.446
31.359
36.46
30.956
0.294
0
31.251
61.388
0.526
1
62.914
31.664
33.22
31.227
0.244
0
31.471
61.908
0.437
1
63.345
31.874
31.69
31.451
0.222
0
31.673
62.185
0.397
1
63.583
31.910
25.39
31.885
0.143
0
32.028
63.155
0.255
1
64.410
32.383
21.73
32.091
0.105
0
32.195
63.687
0.187
1
64.874
32.678
18.49
32.294
0.076
0
32.369
64.206
0.135
1
65.342
32.972
16.58
32.361
0.061
0
32.422
64.541
0.109
1
65.650
33.229
7.74
32.532
0.013
0
32.545
65.743
0.024
1
66.766
34.221
Table 3 – System Operating Curve Flowrate HPin
HVin
HZin TSDH
HPout
HVout
HZout TDDH
TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
32.84
31.282
0.239
0
31.521
70.732
0.427
1
72.159
40.638
29.03
31.587
0.187
0
31.773
62.520
0.333
1
63.854
32.080
25.37
31.818
0.142
0
31.960
55.186
0.255
1
56.441
24.480
21.44
32.042
0.102
0
32.144
48.810
0.182
1
49.992
17.848
Centrifugal Pumping 4
17.79
32.301
0.070
0
32.371
43.440
0.125
1
44.565
12.194
14.2
32.435
0.045
0
32.479
39.004
0.080
1
40.084
7.605
10.37
32.504
0.024
0
32.528
35.539
0.043
1
36.582
4.054
4.25
32.564
0.004
0
32.568
33.114
0.007
1
34.121
1.553
Table 4 – Pump Characteristics at 1800 rpm from Closing Suction Valve Flowrate HPin HVin
HZin TSDH HPout HVout HZout TDDH TDH
(GPM)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
(ft)
62.55 27.369
0.866
0
28.235
59.910
1.546
1
62.456 34.221
62.1 27.561
0.854
0
28.414
59.852
1.524
1
62.376 33.962
62.26 27.533
0.858
0
28.391
59.748
1.532
1
62.280 33.889
62.42 27.471
0.863
0
28.333
59.760
1.540
1
62.300 33.966
62.33 27.383
0.860
0
28.243
59.783
1.535
1
62.318 34.075
62.03 26.995
0.852
0
27.846
59.402
1.521
1
61.922 34.076
61.72 26.228
0.843
0
27.071
59.113
1.505
1
61.618 34.547
61.69 26.154
0.842
0
26.996
59.067
1.504
1
61.571 34.574
61.51 25.426
0.838
0
26.264
58.743
1.495
1
61.239 34.975
60.55 24.498
0.812
0
25.309
58.235
1.449
1
60.684 35.375
59.41 22.818
0.781
0
23.600
57.092
1.395
1
59.487 35.887
57.98 21.162
0.744
0
21.906
55.960
1.329
1
58.288 36.382
56.88 19.817
0.716
0
20.534
54.759
1.279
1
57.037 36.503
55.92 18.540
0.692
0
19.232
54.089
1.236
1
56.324 37.092
54 16.660
0.646
0
17.305
52.726
1.152
1
54.878 37.573
51.52 14.160
0.588
0
14.748
51.155
1.049
1
53.204 38.456
50.03 12.673
0.554
0
13.227
49.988
0.989
1
51.978 38.751
47.59 10.908
0.501
0
11.409
48.348
0.895
1
50.243 38.834
45.44
0.457
0
9.163
46.997
0.816
1
48.813 39.649
8.706
Centrifugal Pumping 5
42.51
7.159
0.400
0
7.559
45.241
0.714
1
46.956 39.397
39.47
6.147
0.345
0
6.492
43.301
0.616
1
44.917 38.425
36.59 10.016
0.296
0
10.313
41.557
0.529
1
43.086 32.773
35.63
6.364
0.281
0
6.645
40.979
0.502
1
42.481 35.836
34.81
4.264
0.268
0
4.533
40.321
0.479
1
41.800 37.267
33.01
2.342
0.241
0
2.584
39.339
0.431
1
40.770 38.186
31.42
1.719
0.219
0
1.937
38.693
0.390
1
40.083 38.145
29.59
1.656
0.194
0
1.850
37.896
0.346
1
39.242 37.391
27.73
7.905
0.170
0
8.075
37.179
0.304
1
38.483 30.408
26.3
9.004
0.153
0
9.157
36.683
0.273
1
37.956 28.799
25.08
6.533
0.139
0
6.672
36.186
0.249
1
37.435 30.763
23.42
4.449
0.121
0
4.570
35.516
0.217
1
36.733 32.163
21.47
3.701
0.102
0
3.803
35.089
0.182
1
36.271 32.468
19.28
3.130
0.082
0
3.212
34.280
0.147
1
35.427 32.215
16.5 10.656
0.060
0
10.716
33.541
0.108
1
34.649 23.932
Table 5 – Net Positive Suction Head at 1800 rpm from Closing Suction Flowrate HPin HVin
HVP
(GPM)
70f (ft) (ft)
(ft)
(ft)
NPSHa
62.55 27.369
0.866
0.84
27.395
62.1 27.561
0.854
0.84
27.574
62.26 27.533
0.858
0.84
27.551
62.42 27.471
0.863
0.84
27.493
62.33 27.383
0.860
0.84
27.403
62.03 26.995
0.852
0.84
27.006
61.72 26.228
0.843
0.84
26.231
61.69 26.154
0.842
0.84
26.156
Centrifugal Pumping 6
61.51 25.426
0.838
0.84
25.424
60.55 24.498
0.812
0.84
24.469
59.41 22.818
0.781
0.84
22.760
57.98 21.162
0.744
0.84
21.066
56.88 19.817
0.716
0.84
19.694
55.92 18.540
0.692
0.84
18.392
54 16.660
0.646
0.84
16.465
51.52 14.160
0.588
0.84
13.908
50.03 12.673
0.554
0.84
12.387
47.59 10.908
0.501
0.84
10.569
45.44
8.706
0.457
0.84
8.323
42.51
7.159
0.400
0.84
6.719
39.47
6.147
0.345
0.84
5.652
36.59 10.016
0.296
0.84
9.473
35.63
6.364
0.281
0.84
5.805
34.81
4.264
0.268
0.84
3.693
33.01
2.342
0.241
0.84
1.744
31.42
1.719
0.219
0.84
1.097
29.59
1.656
0.194
0.84
1.010
27.73
7.905
0.170
0.84
7.235
26.3
9.004
0.153
0.84
8.317
25.08
6.533
0.139
0.84
5.832
23.42
4.449
0.121
0.84
3.730
21.47
3.701
0.102
0.84
2.963
19.28
3.130
0.082
0.84
2.372
16.5 10.656
0.060
0.84
9.876
Centrifugal Pumping 7
Figure 1 – Pump Characteristics and System Operating Curve
Figure 2 – Net Positive Suction Head Required
Centrifugal Pumping 8 Findings a. The operating point for the black pump at 1800 rpm was observed to be at a TDH of 42ft while that of 1600 rpm was found to be at 33ft (fig 1). The Net Positive Suction Head required (NPSHr) for the black pump was observed to be 5ft (fig 2). Appendices Appendix A Hand Calculations 1800 rpm first reading a) Suction pressure head (HP)
ℎ𝑝 =
2.31 ∗ 𝑃 𝑆𝐺
P = absolute pressure (Psi) = (gauge pressure + atm pressure, 14.7 psia) SG = 1 (specific gravity of water)
ℎ𝑝𝑖𝑛 =
2.31 ∗ (−2.881 + 14.7) = 27.301𝑓𝑡 1
ℎ𝑝𝑜𝑢𝑡 =
2.31 ∗ (11.175 + 14.7) = 59.771𝑓𝑡 1
b) Velocity head (HV) 0.002593 ∗ 𝐺𝑃𝑀2 ℎ𝑣 = 𝐼𝐷4
ℎ𝑣𝑖𝑛 =
0.002593 ∗ 62.682 = 0.87𝑓𝑡 1.854
Centrifugal Pumping 9
ℎ𝑣𝑜𝑢𝑡
0.002593 ∗ 62.682 = = 1.554𝑓𝑡 1.64
c) Static head (HZ) ℎ𝑧𝑖𝑛 = 0𝑓𝑡 ℎ𝑧𝑜𝑢𝑡= 1𝑓𝑡 TDSH = hvin+hpin+hzin= 0.87 + 27.301 + 0 = 28.172ft TDDH = hvout+hpout+hzout= 1.554 + 59.771 + 1 = 62.326ft TDH = TDDH – TDSH = 62.326 – 28.172 = 34.154ft d) Brake horsepower
𝑏𝐻𝑝 =
𝑇𝑜𝑟𝑞𝑢𝑒 ∗ 𝑅𝑃𝑀 5252
𝑏𝐻𝑝 =
1.77 ∗ 1790 = 0.603 5252
𝑤𝐻𝑝 =
𝐺𝑃𝑀 ∗ 𝑇𝐷𝐻 ∗ 𝑆𝐺 3960
e) Water horsepower (wHp)
𝑤𝐻𝑝 =
62.68 ∗ 34.15 ∗ 1 = 0.54 3960
f) Efficiency
𝑛=
𝑤𝐻𝑝 ∗ 100 𝑏𝐻𝑝
Centrifugal Pumping 10
𝑛=
0.54 ∗ 100 = 89.6% 0.603
g) NPSH 𝑁𝑆𝑃𝐻 = (𝐻𝑃𝑖𝑛 + 𝐻𝑉𝑖𝑛)𝑇𝐷𝑆𝐻 − 𝐻𝑉𝑃 𝑁𝑆𝑃𝐻 = 28.17 − 0.84 = 27.33𝑓𝑡 Appendix B Excel Spreadsheets 1800 rpm analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) 27.30189 0.869708 0 28.1716 59.77125 1.554464 1 62.32571 34.15412 27.56061 0.852038 0 28.41265 60.3372 1.522882 1 62.86008 34.44743 27.76389 0.828039 0 28.59193 61.01865 1.479986 1 63.49864 34.90671 27.90018 0.799585 0 28.69976 61.6308 1.429129 1 64.05993 35.36016 28.15659 0.767452 0 28.92404 62.5086 1.371697 1 64.8803 35.95626 28.55853 0.714188 0 29.27272 63.72135 1.276495 1 65.99785 36.72513 28.72716 0.680887 0 29.40805 64.1949 1.216977 1 66.41188 37.00383 29.02053 0.630064 0 29.65059 65.3037 1.126138 1 67.42984 37.77924 29.12910 0.606897 0 29.736 65.70795 1.084731 1 67.79268 38.05668 29.48253 0.5352 0 30.01773 66.528 0.956584 1 68.48458 38.46685 29.72508 0.500936 0 30.22602 67.14015 0.895342 1 69.03549 38.80948 30.12702 0.450066 0 30.57709 68.3067 0.80442 1 70.11112 39.53403 30.30951 0.40608 0 30.71559 68.8149 0.725803 1 70.5407 39.82511 30.85236 0.315965 0 31.16833 69.91215 0.564737 1 71.47689 40.30856 31.18038 0.269011 0 31.44939 70.4781 0.480814 1 71.95891 40.50952 31.51302 0.210818 0 31.72384 71.22885 0.376803 1 72.60565 40.88182 31.66086 0.178673 0 31.83953 71.5869 0.319349 1 72.90625 41.06672 32.04894 0.107337 0 32.15628 72.6264 0.191848 1 73.81825 41.66197 32.09514 0.097903 0 32.19304 72.7881 0.174985 1 73.96309 41.77004 32.36079 0.059976 0 32.42077 74.02395 0.107197 1 75.13115 42.71038 32.52480 0.006696 0 32.5315 75.22515 0.011969 1 76.23712 43.70562
Bhp Whp n% 0.603256 0.540601 89.61388 0.603256 0.539676 89.46062 0.603256 0.539115 89.3675 0.578035 0.536653 92.84091 0.578035 0.534622 92.4896 0.553464 0.526764 95.17592 0.528229 0.51824 98.10905 0.528229 0.50897 96.3541 0.502994 0.503194 100.0397 0.503275 0.47763 94.90441 0.478026 0.466204 97.52688 0.453371 0.450149 99.28932 0.428108 0.430735 100.6136 0.377792 0.38456 101.7914 0.352856 0.356607 101.0628 0.327762 0.318589 97.20141 0.30247 0.294623 97.4054 0.277334 0.231666 83.53327 0.25237 0.221824 87.89639 0.227065 0.177529 78.18409 0.201872 0.060702 30.06972
Centrifugal Pumping 11
1600 rpm analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% 28.496 0.680 0 29.176 53.973 1.216 1 56.189 27.012 0.4025 0.378107 93.92864 28.598 0.654 0 29.251 54.516 1.168 1 56.684 27.433 0.4025 0.37644 93.51452 28.619 0.640 0 29.259 54.886 1.145 1 57.030 27.771 0.4025 0.377227 93.71005 28.898 0.615 0 29.513 55.532 1.099 1 57.631 28.118 0.3804 0.374201 98.38226 29.155 0.585 0 29.740 56.295 1.046 1 58.340 28.601 0.3804 0.371305 97.62086 29.483 0.529 0 30.011 57.334 0.945 1 59.280 29.268 0.3579 0.361269 100.9386 30.162 0.417 0 30.579 59.367 0.745 1 61.112 30.534 0.3357 0.334636 99.69058 30.765 0.323 0 31.088 60.869 0.578 1 62.446 31.359 0.2911 0.302657 103.9846 30.956 0.294 0 31.251 61.388 0.526 1 62.914 31.664 0.2912 0.291529 100.0985 31.227 0.244 0 31.471 61.908 0.437 1 63.345 31.874 0.2688 0.267385 99.48521 31.451 0.222 0 31.673 62.185 0.397 1 63.583 31.910 0.2463 0.255357 103.6791 31.885 0.143 0 32.028 63.155 0.255 1 64.410 32.383 0.2018 0.207626 102.8978 32.091 0.105 0 32.195 63.687 0.187 1 64.874 32.678 0.2018 0.179319 88.86897 32.294 0.076 0 32.369 64.206 0.135 1 65.342 32.972 0.1794 0.153954 85.81396 32.361 0.061 0 32.422 64.541 0.109 1 65.650 33.229 0.1794 0.139123 77.54756 32.532 0.013 0 32.545 65.743 0.024 1 66.766 34.221 0.1569 0.066887 42.62972
System curve analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% 31.282 0.239 0 31.521 70.732 0.427 1 72.159 40.638 0.352856 0.337009 95.5089 31.587 0.187 0 31.773 62.520 0.333 1 63.854 32.080 0.246296 0.235173 95.48401 31.818 0.142 0 31.960 55.186 0.255 1 56.441 24.480 0.176494 0.156834 88.86084 32.042 0.102 0 32.144 48.810 0.182 1 49.992 17.848 0.117603 0.096634 82.16937 32.301 0.070 0 32.371 43.440 0.125 1 44.565 12.194 0.08418 0.054781 65.07538 32.435 0.045 0 32.479 39.004 0.080 1 40.084 7.605 0.056067 0.02727 48.63798 32.504 0.024 0 32.528 35.539 0.043 1 36.582 4.054 0.042015 0.010616 25.26814 32.564 0.004 0 32.568 33.114 0.007 1 34.121 1.553 0.039005 0.001667 4.272968
Centrifugal Pumping 12
1800 rpm cavitation analysis Hpin (ft) Hvin (ft) Hzin (ft) TDSH (ft) Hpout (ft) Hvout (ft) Hzout (ft) TDDH (ft) TDH (ft) Bhp Whp n% hvp 70F (ft)NPSHa (ft) 27.369 0.866 0 28.235 59.910 1.546 1 62.456 34.221 0.603256 0.540538 89.6034 0.84 27.395 27.561 0.854 0 28.414 59.852 1.524 1 62.376 33.962 0.603256 0.532584 88.28489 0.84 27.574 27.533 0.858 0 28.391 59.748 1.532 1 62.280 33.889 0.603256 0.532812 88.3227 0.84 27.551 27.471 0.863 0 28.333 59.760 1.540 1 62.300 33.966 0.603256 0.535401 88.75188 0.84 27.493 27.383 0.860 0 28.243 59.783 1.535 1 62.318 34.075 0.603256 0.536344 88.90813 0.84 27.403 26.995 0.852 0 27.846 59.402 1.521 1 61.922 34.076 0.603256 0.533769 88.48136 0.84 27.006 26.228 0.843 0 27.071 59.113 1.505 1 61.618 34.547 0.603256 0.53845 89.25735 0.84 26.231 26.154 0.842 0 26.996 59.067 1.504 1 61.571 34.574 0.603256 0.53861 89.28388 0.84 26.156 25.426 0.838 0 26.264 58.743 1.495 1 61.239 34.975 0.578035 0.543258 93.98358 0.84 25.424 24.498 0.812 0 25.309 58.235 1.449 1 60.684 35.375 0.578035 0.540896 93.57498 0.84 24.469 22.818 0.781 0 23.600 57.092 1.395 1 59.487 35.887 0.578035 0.538396 93.14245 0.84 22.760 21.162 0.744 0 21.906 55.960 1.329 1 58.288 36.382 0.553464 0.532687 96.24602 0.84 21.066 19.817 0.716 0 20.534 54.759 1.279 1 57.037 36.503 0.553464 0.524323 94.73472 0.84 19.694 18.540 0.692 0 19.232 54.089 1.236 1 56.324 37.092 0.553464 0.523787 94.63786 0.84 18.392 16.660 0.646 0 17.305 52.726 1.152 1 54.878 37.573 0.528229 0.512358 96.99545 0.84 16.465 14.160 0.588 0 14.748 51.155 1.049 1 53.204 38.456 0.503275 0.500317 99.41231 0.84 13.908 12.673 0.554 0 13.227 49.988 0.989 1 51.978 38.751 0.503275 0.489572 97.27723 0.84 12.387 10.908 0.501 0 11.409 48.348 0.895 1 50.243 38.834 0.478026 0.466697 97.62999 0.84 10.569 8.706 0.457 0 9.163 46.997 0.816 1 48.813 39.649 0.453118 0.454968 100.4083 0.84 8.323 7.159 0.400 0 7.559 45.241 0.714 1 46.956 39.397 0.428108 0.422919 98.78789 0.84 6.719 6.147 0.345 0 6.492 43.301 0.616 1 44.917 38.425 0.402845 0.382987 95.07067 0.84 5.652 10.016 0.296 0 10.313 41.557 0.529 1 43.086 32.773 0.377792 0.302824 80.15615 0.84 9.473 6.364 0.281 0 6.645 40.979 0.502 1 42.481 35.836 0.377792 0.322434 85.34689 0.84 5.805 4.264 0.268 0 4.533 40.321 0.479 1 41.800 37.267 0.352856 0.327596 92.84109 0.84 3.693 2.342 0.241 0 2.584 39.339 0.431 1 40.770 38.186 0.352856 0.318316 90.21127 0.84 1.744 1.719 0.219 0 1.937 38.693 0.390 1 40.083 38.145 0.352856 0.302659 85.77406 0.84 1.097 1.656 0.194 0 1.850 37.896 0.346 1 39.242 37.391 0.327762 0.279397 85.24406 0.84 1.010 7.905 0.170 0 8.075 37.179 0.304 1 38.483 30.408 0.30247 0.212935 70.39857 0.84 7.235 9.004 0.153 0 9.157 36.683 0.273 1 37.956 28.799 0.30247 0.191264 63.23388 0.84 8.317 6.533 0.139 0 6.672 36.186 0.249 1 37.435 30.763 0.30247 0.194831 64.41328 0.84 5.832 4.449 0.121 0 4.570 35.516 0.217 1 36.733 32.163 0.277179 0.190214 68.62485 0.84 3.730 3.701 0.102 0 3.803 35.089 0.182 1 36.271 32.468 0.277179 0.176035 63.5093 0.84 2.963 3.130 0.082 0 3.212 34.280 0.147 1 35.427 32.215 0.25237 0.156845 62.14863 0.84 2.372 10.656 0.060 0 10.716 33.541 0.108 1 34.649 23.932 0.227065 0.099719 43.91643 0.84 9.876
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