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Concept explainers
(a)
To select:
The pump that runs at the given speed performing the task with efficiency being maximum.
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Answer to Problem 11.4CP
The pump that runs at the given speed performing the task with efficiency being maximum is determined below.
Explanation of Solution
Given Information:
The given figure,
The system delivers 20-degree Celsius water from the sea level reservoir to another iron pipe with diameter 38 cm.
Minor loss before pump entrance
Minor loss after pump entrance
Concept Used:
Velocity of the flow:
Calculation:
According to the figure:
Reynold’s number:
Density
Dynamic Viscosity
Diameter=380mm
Volume=12.24m/s
Substituting the values:
The flow is turbulent.
Friction factor is given as:
Head loss using the friction factor is calculated.
Using equation (1)
Frictional heal loss is calculated using flow rates having different values:
Q(gal/min) | 4000 | 8000 | 12000 | 16000 | 20000 | 22000 | 24000 |
|
44 | 66 | 103 | 156 | 223 | 262 | 305 |
From the table and the reference figure at the flow rate of 20,000 gal/min, 88% efficiency. Hence the pump is given as 38 in.
Conclusion:
Thus, the pump that runs at the given speed performing the task with efficiency being maximum is determined.
(b)
To calculate:
The flow rate.
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Answer to Problem 11.4CP
The flow rate is given as 20,000 gal/min
Explanation of Solution
Given Information:
The given figure:
The system delivers 20-degree Celsius water from the sea level reservoir to another iron pipe with diameter 38 cm.
Minor loss before pump entrance
Minor loss after pump entrance
Concept Used:
Velocity of the flow:
Calculation:
Reynold’s number
Density
Dynamic Viscosity
Diameter=380mm
Volume=12.24m/s
Substituting the values:
The flow is turbulent.
Friction factor is given as:
Head loss using the friction factor is calculated:
Using equation (1)
Frictional heal loss is calculated using flow rates having different values:
Q(gal/min) | 4000 | 8000 | 12000 | 16000 | 20000 | 22000 | 24000 |
|
44 | 66 | 103 | 156 | 223 | 262 | 305 |
Conclusion:
Thus, the flow rate is determined.
(c)
Brake horse power.
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Answer to Problem 11.4CP
Brake horse power=1250hp
Explanation of Solution
Given Information:
The given figure,
The system delivers 20-degree Celsius water from the sea level reservoir to another iron pipe with diameter 38 cm.
Minor loss before pump entrance
Minor loss after pump entrance
Concept Used:
Calculation:
Substituting we have:
Conclusion:
Thus, the brake horse power is calculated.
(d)
The given pump is safe from cavitation.
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Answer to Problem 11.4CP
The pump replacement is needed as the pump will cavitate.
Explanation of Solution
Given Information:
The given figure:
The system delivers 20-degree Celsius water from the sea level reservoir to another iron pipe with diameter 38 cm.
Minor loss before pump entrance
Minor loss after pump entrance
Concept Used:
Calculation:
Substituting we have:
For the flow rate Q=20000gal/min, the NPSH=16m(-0.36m).
So, the pump cavitates.
Conclusion:
Thus, the given pump is safe from cavitation is determined.
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Chapter 11 Solutions
Fluid Mechanics
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