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A person is filling a knee-high bucket with water using a

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 70P Chapter 5

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 70P

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A person is filling a knee-high bucket with water using a garden hose and holding it such that water discharges from the hose at the level of his waist. Someone suggests that the bucket will fill faster if the hose is lowered such that water discharges from the hose at the knee level. Do you agree with this suggestion? Explain. Disregard any frictional effects.

Step-by-Step Solution:
Step 2 of 4

Solution 70P

Step1 :

In this question, we need to check if there is increase in velocity of water flow if the height is reduced

Step 2 :

We can explain this using Bernoulli’s equation

We have

                

Here

        Assume it is at the ground

        We shall assume this to same as atmospheric pressure

With the assumptions considered we have

                

                

                

Thus we have obtained velocity at height above the knee level

Step 3 of 4

Chapter 5, Problem 70P is Solved
Step 4 of 4

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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