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1. Water is pumped from a low reservoir to a high reservoir that is 20 m...

1. Water is pumped from a low reservoir to a high reservoir that is 20 m higher in elevation. The water is flowing at 1.5 m/s through a 305 mm internal diameter piping system. The water is at 18 degrees C. There are 1,000 m of piping, six standard 45 degree bends, two standard 90 degree bends, a branch flow tee, three gate valves, a swing check valve, a square inlet and a square outlet. The piping and valves are ductile iron, cement lined, with an absolute roughness Ꜫ of 1.0 mm due to chemical deposits. Use hand calculations and show all of your work. a. Calculate the Reynolds Number (NR), the relative roughness (Ꜫ/D), and Darcy’s “f”. b. Calculate the pipe friction loss in m using Darcy’s Equation. c. Calculate the minor losses (entrance, fittings, valves, exit) in m. d. Calculate the total losses (pipe friction plus minor losses) in m. e. Calculate the kW input (to the water) required of the pump, and the electricity kW input to the pump motor if the pump-motor combination is 60% efficient.

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V1.5m/sec 20m H 0.305 m T= 180 So 19= 1.025 X10 m at 19 0 sec 450bends= G Ck0.35) 96bends- 2 CI-0.7) br 4nchflotee =(k 1) reVtotal loss (hr) hf+hm 6 -10.34+0.93 1 1 2m est 11 6.305 X .5 X9.21X(11. 2t) 1000X +20 3 3,2x/03 wtts 3 3-62 KW Scanned with C

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