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In: Mechanical Engineering

Water is discharged from a pipe outlet at a rate of 60l/s at 120.8 kPa absolute...

Water is discharged from a pipe outlet at a rate of 60l/s at 120.8 kPa absolute pressure. All pipes are 15 cm in diameter with a total length of 200 m. The total pipe length on the suction side is 10.8 m. Both reservoirs are big. The water surfaces are exposed to the atmosphere and the difference in their levels is 9 m.

Pipeline friction head loss is 0.086 m per meter length of pipe. On the suction side, fitting loss is 1.3 m while on the delivery side, fitting loss varies with the square of the velocity with K = 1.0.

a) Find the height of the water level above the pipe outlet in the receiving reservoir (m).

b) Find the total head loss of the system (m).

c) What is the hydraulic power (kW)?

d) The water to be pumped has a vapour pressure of 2335 N/m2. The cavitation parameter, s = 0.12. Find the maximum pump height possible above the surface of the water in the supply reservoir (Show clearly the calculation of all heads involved).]

(Atmospheric pressure = 101.3 kPa).

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