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A pressurized 2-m-diameter tank of water has a

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 97P Chapter 5

Fluid Mechanics | 2nd Edition

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

Fluid Mechanics | 2nd Edition

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Problem 97P

Problem 97P

A pressurized 2-m-diameter tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level initially is 3 m above the outlet. The tank air pressure above the water level is maintained at 450 kPa absolute and the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine (a)how long it will take for half of the water in the tank to be discharged and (b)the water level in the tank after 10 s.

Step-by-Step Solution:

Solution to 97P

Step 1 of 5

We need to find the time by which half of water in the tank will be discharged through the orifice of diameter 10 cm and the amount of water remaining in the tank of diameter 2m after 10s.
Given data:

Pressure above the water tank

Atmospheric pressure

We need to use Bernoulli’s principle to compute the required data,

Bernoulli’s principle is given as,

At the points given in the diagram,

 is the height of water in the tank above the orifice.

Step 2 of 5

Chapter 5, Problem 97P is Solved
Step 3 of 5

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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A pressurized 2-m-diameter tank of water has a