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Problem Statement 1 The pump in the system shown below is used to transport water from...

Problem Statement 1 The pump in the system shown below is used to transport water from reservoir A to and discharge it to the

Problem Statement 1 The pump in the system shown below is used to transport water from reservoir A to and discharge it to the open atmosphere at point B. The elevation difference between the two reservoirs is Az, and the piping has a 2000 ft length of 16-in diameter. The flow is fully turbulent with kinetic energy correction factor = 1.1 and the Darcy-Weisbach friction factor f = 0.0002. The minor losses in the system are negligible and can be ignored. Suppose the pump vendor has supplied the characteristics of the pump in a form of tabulated data (shown in the table below), answer the following: (a) For the given dimensions of the system, generate the general system curve equation. Remember that the pipe diameter is constant throughout (useful head as function of elevation and volume flow rate). [8 %] (b) Plot two system curves, one with|4z = 0 ft and Az = 1100 ft (hp Vs volume flow rate). In the same figure, also plot the pump supply head and efficiency curves Vs volume flow rate using the data provided by the vendor (use a secondary y-axis for efficiency). In this plot, the x-axis will represent the volume flow rate, the left side of the y-axis will represent the supply curve and the two system curves and the right hand side of the y- axis (secondary y-axis) will represent the efficiency data (total of 4 curves). [30 %] (c) From part 'c', determine the operating points (volume flow rate & head intersections) and the efficiencies corresponding to the operating points of the two different Azs. (8 %] (d) For the two operating points in part d', determine the power inputs required by the %] Note: With your solution attachments, please include the excel sheet containing all the data and plots in addition to the scanned documents of the hand calculations. pump. [10 B Volume Flow Rate (ft3/s) 53 Open to the atmosphere Az Pump A 81 109 133 Pump Supply Efficiency Head (ft) (%) 3080 68 2980 74 2880 79 2780 82.7 2680 85 2580 86.3 2480 87 2380 86.4 2280 85.3 2180 83.4 Water 156 183 198 215 235 249 264 278 2080 1980 1880 1780 1680 81 78 74 70 291 302 312 65.5
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a) Datas given d=16 in =1.333ft A=1.396ft? g=32•2ft/s? L = 2000 ft Properties of water is taken at 80F Velocity of the flowh = hgthm hz fLV2 +0 2gd 0.002 2000 )(11.4599)? h = 1.333 2x32.2 h = 0.023992 + By applying Bernoullis theorem for sump andeff (%) 68 74 79 82.7 85 86.3 system curve Q (ft^3/s) supply head (ft) system curve (Z=0) (Z=1100ft) 53 3080 67.1351 1167.135System curve 4000 100 90 3500 80 3000 70 2500 60 H (ft) 2000 50 Efficiency 40 1500 30 1000 20 500 10 0 0 0 50 100 150 200 250c) Operating point for Z=0 is 285 ft/s and head is 1920 ft. Operating point for Z=1100 ft is 225 ft/s and head is 2320 ft. d)

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