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# Air at 100 kPa and 25°C flows in a horizontal duct of ## Problem 99P Chapter 5

Fluid Mechanics | 2nd Edition

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Problem 99P Air at 100 kPa and 25°C flows in a horizontal duct of variable cross section. The water column in the manometer that measures the difference between two sections has a vertical displacement of 8 cm. If the velocity in the first section is low and the friction is negligible, determine the velocity at the second section. Also, if the manometer reading has a possible error of ±2 mm, conduct an error analysis to estimate the range of validity for the velocity found.

Step-by-Step Solution:

Solution to 99P

Step 1</p>

In this question, we need to find the velocity at the second section of the horizontal duct and we also need to do error analysis to estimate the range of validity for the computed velocity. Step 2</p>

Using the Bernoulli’s equation, Where =PRESSURE, =VELOCITY, =Height, =density, =acceleration due to gravity.

The heights of both the points given in the diagram is same thus    We are neglecting the pressure difference in the duct, but the pressure difference in the manometer is given by,  = density of water=1000kg/m3 =acceleration due to gravity = height of water column Now we have to find the density of air,

We know that the ideal gas equation is,  =pressure = volume =mass of air = temperature=298 K = gas constant for the air =     Thus using the equation of velocity,  Step 3 of 3

##### ISBN: 9780071284219

The answer to “Air at 100 kPa and 25°C flows in a horizontal duct of variable cross section. The water column in the manometer that measures the difference between two sections has a vertical displacement of 8 cm. If the velocity in the first section is low and the friction is negligible, determine the velocity at the second section. Also, if the manometer reading has a possible error of ±2 mm, conduct an error analysis to estimate the range of validity for the velocity found.” is broken down into a number of easy to follow steps, and 82 words. This full solution covers the following key subjects: section, velocity, Error, manometer, horizontal. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Fluid Mechanics was written by Sieva Kozinsky and is associated to the ISBN: 9780071284219. The full step-by-step solution to problem: 99P from chapter: 5 was answered by Sieva Kozinsky, our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Since the solution to 99P from 5 chapter was answered, more than 238 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2nd.

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