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Get Full Access to Fluid Mechanics - 2 Edition - Chapter 5 - Problem 98p
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 5 - Problem 98p

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# Air flows through a pipe at a rate of 170 L/s. The pipe

ISBN: 9780071284219 39

## Solution for problem 98P Chapter 5

Fluid Mechanics | 2nd Edition

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Problem 98P Problem 98P

Air flows through a pipe at a rate of 170 L/s. The pipe consists of two sections of diameters 18 cm and 10 cm with a smooth reducing section that connects them. The pressure difference between the two pipe sections is measured by a water manometer. Neglecting frictional effects, determine the differential height of water between the two pipe sections. Take the air density to be 1.20 kg/m3.

Step-by-Step Solution:

### Solution to 98P

Step 1 of 3

We need to find the differential height of water between the pipe sections if the flow rate of air through the pipe is .

We will use Bernoulli’s principle to compute the height  which will be used to find the differential height.

Bernoulli’s equation is given as,

Where=PRESSURE,

=VELOCITY,

=Height,

=density,

=acceleration due to gravity.

The heights of both the points given in the diagram is same thus

Differential height of water  manometer is

Thus the pressure is given as

Step 2 of 3

Step 3 of 3

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