# 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 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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