Concept explainers
(a)
The head loss.
Answer to Problem 3.134P
The head loss is
Explanation of Solution
Given information:
The flow rate is
The Figure-(1) show three sections of constant flow rate in the system.
Figure-(1)
Here, the section (1) is for the top of the water level in the left region, the section (2) is at the throat and the section (3) is at the top of the water level in the right region.
Write the expression for the Bernoulli’s equation between the section (1) and section (3) of the given system.
Here, the pressure at section (1) is
Since the fluid at section (1) and section (3) is stationary, so the difference between the velocities at these sections is zero.
Since the pressure at the section (1) and section (3) is atmospheric, so the difference between the pressures is zero.
Substitute
Calculation:
Substitute
Conclusion:
The head loss is
(b)
The constriction diameter
Answer to Problem 3.134P
The constriction diameter
Explanation of Solution
Given information:
The diameter at section (1) is
Write the expression for the Bernoulli’s equation between the section (1) and section (2) of the given system.
Here, the pressure at section (2) is
Write the expression for the head loss due to cavitation.
Write the expression for the flow rate at section (2).
Here, the flow rate is
Write the expression for the area at section (2).
Here, the diameter at section (2) is
Substitute
Substitute
Calculation:
Since the fluid at section (1) is stationary, so the velocity at this section is zero.
Since the pressure at the section (1) is atmospheric so,
Refer to the property table to obtain the vapor pressure of water at
Substitute
Further solve the above expression.
Conclusion:
The constriction diameter
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Chapter 3 Solutions
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