Question 3 The figure shows a pump delivering 840 L/min of crude oil (sg = 0.85) from an underground storage drum to the first stage of a processing system. (a) If the total energy loss in the system is 4.2 N-m/N of oil flowing, calculate the power delivered by the pump. (b) If the energy loss in the suction pipe is 1.4 N-m/N of oil flowing, calculate the pressure at the pump inlet. Suction pipe DN 65 Schedule 40 1.5m 10 m Pump Flow 3 m Air at 825 kPa
TABLE F.2 Schedule 80 Nominal Pipe Size NPS DN (in) (mm) 6 8 V/ 3/4 * ½/2 34 1 1¼ 1½ 2 2½ 3 3½ 4 20 24 5 6 8 10 12 14 16 18 10 15 20 25 32 40 50 65 80 90 100 125 150 200 250 300 350 400 450 500 600 Outside Diameter Wall Thickness (in) (mm) (in) 0.405 10.3 0.095 0.540 13.7 0.119 0.675 17.1 0.126 0.840 21.3 0.147 1.050 26.7 0.154 1.315 33.4 0.179 1.660 42.2 0.191 1.900 48.3 0.200 2.375 60.3 0.218 2.875 73.0 0.276 3.500 88.9 0.300 4.000 101.6 0.318 4.500 114.3 0.337 5.563 141.3 6.625 168.3 8.625 219.1 10.750 273.1 12.750 323.9 14.000 355.6 16.000 406.4 18.000 457.2 20.000 508.0 24.000 609.6 (mm) 2.41 3.02 3.20 3.73 3.91 4.55 4.85 5.08 5.54 7.01 7.62 8.08 8.56 9.53 10.97 0.500 12.70 0.593 15.06 0.687 17.45 0.750 19.05 0.842 0.937 1.031 1.218 0.375 0.432 21.39 23.80 26.19 30.94 (in) 0.215 0.302 0.423 0.546 0.742 0.957 1.278 1.500 1.939 2.323 2.900 3.364 3.826 4.813 5.761 7.625 9.564 11.376 12.500 14.314 16.126 17.938 21.564 Inside Diameter (ft) 0.017 92 0.025 17 0.035 25 0.045 50 0.061 83 0.079 75 0.106 5 0.125 0 0.161 6 0.193 6 0.241 7 0.280 3 0.318 8 0.401 1 0.480 1 0.635 4 0.797 0 0.9480 1.042 1.193 1.344 1.495 1.797 (mm) 5.5 7.7 10.7 13.9 18.8 24.3 32.5 38.1 49.3 59.0 73.7 85.4 97.2 122.3 146.3 193.7 242.9 289.0 (ft³) 0.000 253 0.000 497 0.000 976 0.001 625 0.003 00 0.004 99 0.008 91 0.012 27 0.020 51 0.029 44 0.045 90 0.061 74 0.079 86 0.126 3 0.1810 0.317 4 0.498 6 0.705 6 317.5 0.852 1 363.6 1.117 409.6 1.418 455.6 1.755 547.7 2.535 Flow Area HIG (m²) 2.350 x 105 4.617 x 10-5 9.067 x 10-5 1.510 x 104 2.787 x 10-4 4.636 x 104 8.278 x 10-4 1.140 x 10-3 1.905 x 10-³ 2.735 x 10-3 4.264 x 10-3 5.736 x 10-3 7.419 x 103 1.173 x 10-² 1.682 x 10-² 2.949 x 10-² 4.632 x 10-² 6.555 x 10-2 7.916 x 10-² 0.1038 0.1317 0.1630 0.2344
TABLE F.1 Schedule 40 NPS (in) Nominal Pipe Size V 1 1 20 1½ 10 34 % 1½ 12 ½/2 ¾ 2 2½ 3 3½ 4 5 14 6 8 16 18 20 24 Outside Diameter DN (mm) 6 8 10 15 20 25 32 40 50 2.375 65 2.875 80 3.500 90 4.000 100 4.500 125 5.563 150 6.625 200 8.625 250 10.750 300 12.750 350 14.000 400 16.000 450 18.000 500 20.000 600 24.000 (in) 0.405 0.540 0.675 0.840 1.050 1.315 1.660 1.900 (mm) 10.3 13.7 17.1 21.3 Wall Thickness (in) (mm) 0.068 1.73 0.088 2.24 0.091 2.31 0.109 2.77 26.7 0.113 2.87 33.4 0.133 3.38 42.2 0.140 3.56 48.3 0.145 3.68 60.3 0.154 3.91 73.0 0.203 5.16 88.9 0.216 5.49 101.6 0.226 5.74 114.3 0.237 6.02 141.3 0.258 6.55 168.3 0.280 7.11 219.1 0.322 8.18 273.1 0.365 9.27 323.9 0.406 10.31 355.6 0.437 11.10 406.4 0.500 457.2 0.562 508.0 0.593 609.6 0.687 12.70 14.27 15.06 17.45 Inside Diameter (in) 0.269 (ft) 0.0224 0.364 0.0303 0.493 0.0411 0.622 0.0518 0.824 0.0687 1.049 0.0874 1.380 0.1150 1.610 0.1342 2.067 0.1723 2.469 0.2058 3.068 0.2557 3.548 0.2957 4.026 0.3355 5.047 0.4206 6.065 0.5054 7.981 0.6651 10.020 0.8350 11.938 0.9948 13.126 1.094 15.000 1.250 16.876 1.406 18.814 1.568 22.626 1.886 (mm) 6.8 9.2 12.5 15.8 (ft²) 0.000 394 0.000 723 0.001 33 0.002 11 0.003 70 0.006 00 0.010 39 0.014 14 0.023 33 0.033 26 0.051 32 0.068 68 0.088 40 0.139 0 20.9 26.6 35.1 40.9 52.5 62.7 77.9 90.1 102.3 128.2 154.1 0.2006 202.7 0.347 2 254.5 0.547 9 303.2 0.777 1 333.4 0.939 6 381.0 1.227 428.7 1.553 477.9 1.931 574.7 2.792 Flow Area (m²) 3.660 x 10-5 6.717 x 10-5 1.236 x 10-4 1.960 x 10-4 3.437 x 10-4 5.574 x 10-4 9.653 x 104 1.314 x 10-³ 2.168 x 10-³ 3.090 x 10-³ 4.768 x 10-3 6.381 x 10-³ 8.213 × 10-³ 1.291 x 10-² 1.864 x 10-² 3.226 x 10-² 5.090 x 10-² 7.219 x 10-² 8.729 x 10-² 0.1140 0.1443 0.1794 0.2594
Question 3 The figure shows a pump delivering 840 L/min of crude oil (sg = 0.85) from an underground storage drum to the
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