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Air at 110 kPa and 50°C flows upward through a

Chapter 5, Problem 50P

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QUESTION: Problem 50P

Air at 110 kPa and 50°C flows upward through a 6-cm-diameter inclined duct at a rate of 45 L/s. The duct diameter is then reduced to 4 cm through a reducer. The pressure change across the reducer is measured by a water manometer. The elevation difference between the two points on the pipe where the two arms of the manometer are attached is 0.20 m. Determine the differential height between the fluid levels of the two arms of the manometer.

FIGURE P12-41

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QUESTION: Problem 50P

Air at 110 kPa and 50°C flows upward through a 6-cm-diameter inclined duct at a rate of 45 L/s. The duct diameter is then reduced to 4 cm through a reducer. The pressure change across the reducer is measured by a water manometer. The elevation difference between the two points on the pipe where the two arms of the manometer are attached is 0.20 m. Determine the differential height between the fluid levels of the two arms of the manometer.

FIGURE P12-41

ANSWER:

Solution

Introduction

Air at 500C flows through a duct which have 6 cm diameter at one end and 4 cm at the other end the pressure change can be measured using the bernoulli's equation.

Bernoulli's equation can be considered to be statement of the conservation of energy principle appropriate for flowing fluid.

Step 1

Air density

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