Question

Water at 50 °F is pumped from pond 1 to pond 2. Calculate the volumetric flow rate and pump power for the following given information Patm h Opump Patm ... Total pipe length: /=500 ft Pipe diameter: d=8 in Pipe material: new cast iron Elbow type: flanged, 90° regular Valve type: globe, flanged, fully open Inlet and Exit type: sudden, Fig. 6.22 Pump head: hp 250 ft Pump efficiency: np=0.85 h-200 ft F (velocity, ft/s x diameter. (Vd) for water at 6 Valu 8000 8 10 0.1 0.2 0.4 0.6 0.8 1 40 60 80 100 200 400 600 800 1000 2 4 6 20 2000 4000 6000 10,000 Values of (Vd) for atmospheric ai t 60°F 6000 400 600 800 1000 60,000 100.000 00 6 8 10 20 40 200 2000 4000 cone 20.000 40000 0.10 TTT 0,09 Laminar-Critica HElow 0,08 zoneTransition zone f Complete turbulence, rough pipes 0.05 0.07 0.04 0.06 0.03 0.05 0.02 0.015 0,04 - 0,01 0.008 0.006 Rear Il 0.03 0.004 0,025 0,002 0.02 0,001 0.0008 0.0006 0.0004 Smooth pipes, 0.015 0.0002 0.0001 0.000,05 0.01 0.009 0.000,01 0.008 4 56 8106 2(10) 103 2(103 3 4 56 8104 2(104) 3 4 56 8105 2(105)3 4 56 8107 2107 3 4 5 6 8108 Vd Reynolds number Re = V 0,000,001 =0.000,005 Friction factor f Relative roughness- Table 6.1 Recommended Roughness Values for Commercial Ducts Material Condition ft Uncertainty, % mm Steel Sheet metal, new 0.05 ±60 0.00016 0.000007 +50 Stainless, new 0.002 Commercial, new 0.00015 0,046 ±30 Riveted 3.0 ±70 0.01 2.0 Rusted 0.007 +50 0.00085 Iron Cast, new Wrought, new 0.26 +50 0.00015 0.046 +20 0.15 Galvanized, new 0.0005 +40 Asphalted cast Drawn, new 0.12 0.0004 +50 0.000007 Brass 0.002 ±50 Drawn tubing Plastic 0.000005 0.0015 +60 Glass Smooth Smooth Concrete Smoothed 0.00013 0.04 +60 Rough Smoothed 0.007 2.0 +50 0.000033 Rubber 0.01 +60 Wood 0.0016 0.5 +40 Stave Table A.1 Viscosity and Density of Water at 1 atm , ft/s Т, € p, kg/m v, m/s Т, F A, lb - s/ft p, slug/ft A, N : s/m 1.788 E-6 0 1000 1.788 E-3 32 1.940 3.73 E-5 1.925 E-5 10 1000 1.307 E-3 1.307 E-6 50 1.940 2.73 E-5 1.407 E-5 20 998 1.003 E-3 1.005 E-6 1.937 2.09 E-5 1.082 E-5 68 0.799 E-3 0.657 E-3 30 996 0.864 E-5 0.802 E-6 86 1.932 1.67 E-5 992 40 0.662 E-6 104 1.925 1.37 E-5 0.713 E-5 50 988 0.555 E-6 122 1.917 0.548 E-3 1.14 E-5 0.597 E-5 0.511 E-5 0.467 E-3 60 983 0.475 E-6 140 1.908 0.975 E-5 70 978 0.405 E-3 0.414 E-6 158 1.897 0.846 E-5 0.446 E-5 80 972 0.355 E-3 0.365 E-6 176 0.393 E-5 1.886 0.741 E-5 90 965 0.316 E-3 0.327 E-6 194 1.873 0.660 E-5 0.352 E-5 0.283 E-3 958 0.295 E-6 212 1.859 0.591 E-5 0.318 E-5 100

Answer 1

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ellou k = valve O.5 valoclfflouhogh pipe knoun. So the AA ihe comAidesed flow fuly laslulent value Roughmean 2 - 2 6 +-74 2 2 x o oooS =0-020? cs Scanned with CamScanner

AppnBesnoull Tem (1J elretaden P 4k '8 f K 1 k 4 k D.020g x Soo ( N0-7+ = (0.25 250) 200 x 2 2 5 12- 2x32 2 cs Scanned vth CamScanner S.43

A 50 F lemp kinemal viA COA o1 × 上oり」 vd VD mold 5.43 x D. (6 -407 x 10 = 254712 153S lon Cassected Chost the Fom fartof = 0 021S There fore e kx ken d 4x 0-75 - (o.85 x 2 5 200 12- S x 28-D/5 2x 32 2 536 AeC Scanned with CS CamScanner

Henc volumeisie flow Aale = Vx 3 14 = 5.2 6 x X 4 fagpp used am pump pwer /94 x I - 8 3 x 32 2 x O. 8S x 2 SO = 24 292 24 ft ll HP = 4 6& P ama aled power of Pump 44 168 0.S S = S196 HP 52 HP cs Scanned with CamScanner