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Engineering and Tech / Fluid Mechanics 2 / Chapter 5 / Problem 41P

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

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A piezometer and a Pitot tube are tapped into a 4-cm

Chapter 5, Problem 41P

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QUESTION:

Problem 41P

A piezometer and a Pitot tube are tapped into a 4-cm diameter horizontal water pipe, and the height of the water columns are measured to be 26 cm in the piezometer and 35 cm in the Pitot tube (both measured from the top surface of the pipe). Determine the velocity at the center of the pipe.

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QUESTION:

Problem 41P

A piezometer and a Pitot tube are tapped into a 4-cm diameter horizontal water pipe, and the height of the water columns are measured to be 26 cm in the piezometer and 35 cm in the Pitot tube (both measured from the top surface of the pipe). Determine the velocity at the center of the pipe.

ANSWER:

Solution

Step 1

A piezometer and a Pitot tube are tapped in a horizontal water pipe. We have to determine the velocity at center of the pipe. From above figure 2 point A and B are given along the center of the pipe. A is directly below piezometer and B is the entrance of the pitot tube. Where V2=0 and Z1=Z2. By Bernoulli equation between 2 points is given by.

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