Formula sheets:
3 Pump Two reservoirs are connected by a pipeline that goes up and over a hill as shown. A pump is used to transfer water from the reservoir on the left to the reservoir on the right. Assume the lower reservoir has a water elevation of 300', the upper reservoir is at 600', and a 1' diameter, 3000' long cast iron pipe connects the two. The temperature is 60°F. (consider only the distributed head loss; ignore minor losses) a) What is the minimum required energy (in ft) that the pump needs to supply in order to transfer the water from the lower to upper reservoir at 10 cfs? b) If the pump supplied a maximum of 500 ft of head, what is the greatest allowable elevation (in ft) in the pipeline, assuming a 10 cfs flowrate? c) If the pump were taken offline while the pipeline was full of water, there is the potential for a siphon to form -- water from the upper reservoir could naturally flow to the lower reservoir. Estimate the flowrate Q in the siphon in cfs. (assume the water flows without any additional headloss from the offline pump or complications due to pipe elevation.)
Dynamic Viscosity, Surface Tension, 6 (lb/ft) Vapor Pressure, P. [lb/in.(abs) Speed of Sound, c (ft/s) (1b/ne") Table B.1 Physical Properties of Water (BG/EE Units) Specific Density, Weight, Temperature 7 (°F) (slugs/ne) 32 1.940 62.42 40 1.940 62.43 50 1.940 62.41 60 1.938 62.37 70 1.936 62.30 80 1.934 62.22 90 1.931 62.11 100 1.927 62.00 120 1.918 61.71 140 1.908 61.38 160 1.896 61.00 180 1.883 60.58 200 1.869 60.12 212 1.860 59.83 3.732 E-5 3.228 E-5 2.730 E-5 2.344 E-5 2.037 E- 5 1.791 E- 5 1.500 E-5 1.423 E-5 1.164 E-5 9.743 E-6 8.315 E-6 7.207 E-6 6.342 E- 6 5.886 E- 6 Kinematic Viscosity, (t/s) 1.924 E-5 1.664 E-5 1.407 E-5 1.210 E-S 1.052 E-5 9.262 E-6 8.233 E-6 7.383 E-6 6.067 E-6 5.106 E-6 4.385 E-6 3.827 E-6 3.393 E- 6 3.165 E-6 5.18 E-3 5.13 E-3 5.09 E-3 5.03 E-3 4.97 E - 3 4.91 E - 3 4.86 E-3 4.79 E - 3 4.67 E-3 4.53 E- 3 4.40 E - 3 4.26 E - 3 4.12 E-3 4.04 E-3 8.854 E-2 1.217 E-1 1.781 E-1 2.563 E-1 3.631 E-1 5.069 E-1 6.979 E-1 9.493 E-1 1.692 E+O 2.888 E + 0 4.736 E+ 0 7.507 E +0 1.152 E+1 1.469E+1 4603 4672 4748 4814 4871 4819 4960 4995 5049 5091 5101 5195 5089 5062
Surface Tension, o (N/m) Speed of Sound", c Physical Properties of Water (SI Units)" Specific Density, Weight", Temperature Y (°C) (kg/m) (kN/m) 0 999.9 9.806 5 1000.0 9.807 10 999.7 9.804 20 998.2 9.789 30 995.7 9.765 40 992.2 9.731 50 988.1 9.690 60 983.2 9.642 70 977.8 9.589 80 971.8 9.530 90 965.3 9.467 100 958.4 9.399 Dynamic Viscosity, (N.$/m) 1.787 E-3 1.519 E-3 1.307 E-3 1.002 E-3 7.975 E-4 6.529 E-4 E-4 4.665 E-4 4.042 E-4 3.547 E-4 3.147 E - 4 2.818 E-4 Kinematic Viscosity, (m/s) 1.787 E-6 1.519 E-6 1.307 E-6 1.004 E-6 8.009 E-7 6.580 E-7 5.534 E-7 4.745 E-7 4.134 E-7 3.650 E - 7 3.260 E-7 2.940 E-7 7.56 E-2 7,49 E-2 7.42 E-2 7.28 E-2 7.12 E-2 6.96 E-2 6.79 E-2 6.62 E-2 6.44 E-2 6.26 E-2 6.08 E-2 5.89 E-2 Vapor Pressure, P. IN/m°(abs) 6.105 E + 2 8.722 E + 2 1.228 E +3 2.338 E + 3 4.243 E + 3 7.376 E + 3 1.233 E +4 1.992 E + 4 3.116 E + 4 4.734 E +4 7.010 E +4 1.013E+5 1403 1427 1447 1481 1507 1526 1541 1552 1555 1555 1550 1543 5.468
0.1 0.00 Wholly furbow 0.08 Laminarflow QOS 00 Transition 004 03 0.0 0.03 0.015 0.04 001 OS 006 0.00 1 0.004 0.035 0.002 0.00 0001 0.000 0.0000 0.000 0.015 Table 8.1 Kvartegn for New Pipes I Mupted from Musly Reland Clerk (Ref. featluri பேதியாக, Mpe Millime R . C 0.001- Waw . 18 0.00 Calvin B.IS Call LES De . OS 0.000 Smooth 0.0001 100005 0.01 0.009! DO 0.00001 2110 2110) 2010 4 B 21101 4 5 8 2110) 10 10 10 15 Colebrook Eqn: €/D 2.51 = -2 log + 3.7 Rev
3 Pump Two reservoirs are connected by a pipeline that goes up and over a hill as shown. A pump is used to transfer wate
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3 Pump Two reservoirs are connected by a pipeline that goes up and over a hill as shown. A pump is used to transfer wate
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