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# Water is being pumped from a large lake to a reservoir 25 ISBN: 9780071284219 39

## Solution for problem 73P Chapter 5

Fluid Mechanics | 2nd Edition

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Problem 73P

Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.

Step-by-Step Solution:

Step 1 of 5</p>

The pump is moving the water from the large lake to a higher reservoir at 25m as shown in the figure below. The head loss of the pipe is given to be 5m, here we need to calculate the mechanical efficiency of the pump using the energy equation. Step 2 of 5</p>

The density of water is taken to be and it is considered to be incompressible. The flow is assumed to be steady.

Let us consider two points 1 and 2 as shown in the figure above, at the free surface of the lake and the reservoir respectively. As both are open to atmosphere, pressure at both the points is equal to atmospheric pressure, that is . By considering the surface of lake as reference ( ). Also the velocities at both the points are negligible, that is .

Step 3 of 5</p>

For Steady, incompressible and control volume flow through these two points through pump and pipes, energy equation is given by, Substituting ,  …………..1

Step 4 of 5

Step 5 of 5

##### ISBN: 9780071284219

The answer to “Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.” is broken down into a number of easy to follow steps, and 44 words. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The full step-by-step solution to problem: 73P from chapter: 5 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Since the solution to 73P from 5 chapter was answered, more than 843 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Pump, mechanical, efficiency, head, irreversible. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219.

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