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Solved: Water is pumped from a lower reservoir to a higher

Chapter 5, Problem 85P

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QUESTION:

Problem 85P

Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 20 kW of useful mechanical power to the water. The free surface of the upper reservoir is 45 m higher than the surface of the lower reservoir. If the flow rate of water is measured to be 0.03 m3/s. determine the irreversible head loss of the system and the lost mechanical power during this process.

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QUESTION:

Problem 85P

Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 20 kW of useful mechanical power to the water. The free surface of the upper reservoir is 45 m higher than the surface of the lower reservoir. If the flow rate of water is measured to be 0.03 m3/s. determine the irreversible head loss of the system and the lost mechanical power during this process.

ANSWER:

Solution

Step 1

The elevation between the reservoirs is constant and the flow is steady. Now by applying energy equation between two points we get

1(Z1=0)  and 2(Z2=45m) consider to be lower and upper surface.

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