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# Express the Bernoulli equation in three different ways

ISBN: 9780071284219 39

## Solution for problem 24P Chapter 5

Fluid Mechanics | 2nd Edition

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Problem 24P

Express the Bernoulli equation in three different ways using (a)energies, (b)pressures, and (c) heads.

Step-by-Step Solution:
Step 1 of 4<p>We have to express the Bernoulli’s theorem in terms of energy, pressure and head. Step 2 of 4<p>To express the Bernoulli’s theorem in terms of energy use the conservation of energy.

Consider a small volume of fluid with volume , of length  and area of cross section . Also consider the velocity of the fluid is , density is , pressure is , and the height is

Then the kinetic energy is

The potential energy is

And the work done due to the pressure to flow from one side of the volume to the other side fo the volume is

Hence the total energy is

constant  (from the conservation of energy)

Now divide the equation with respect to the  , we get

constant        (1)

This is the Bernoulli's equation in energy terms.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780071284219

The answer to “Express the Bernoulli equation in three different ways using (a)energies, (b)pressures, and (c) heads.” is broken down into a number of easy to follow steps, and 14 words. This full solution covers the following key subjects: Bernoulli, energies, equation, express, heads. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The full step-by-step solution to problem: 24P from chapter: 5 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. Since the solution to 24P from 5 chapter was answered, more than 919 students have viewed the full step-by-step answer.

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