Concept explainers
Suppose the pump of Prob. I 4—67 has some reverse swirl at the inlet such that
The net head produced by the pump.
The required brake horsepower.
Is the angle at which the fluid impinges on the impeller blades a critical parameter in the design of the centrifugal pump.
Whether the small amount of reverse swirl increases or decreases the net head of the pump or is it desirable.
Answer to Problem 69P
The net head produced by the pump in
The required brake horsepower is
When there is a swirl at the inlet, the net head produced by the pump and the required brake horsepower will increase. Thus, the angle at which the fluid impinges has an important role in the design of the centrifugal pumps.
As the head of the pump increases to a small extent, there is a large increase in the required brake horsepower. So, the small amount of reverse swirl is not desirable.
Explanation of Solution
Given information:
The speed of the pump is
The density of water is
Write the expression for the angular velocity of the centrifugal pump in
Here, the speed of the pump is
Write the expression for the normal velocity component at outlet of pump.
Here, the volume flow rate is
Write the expression for the tangential velocity component at outlet of pump.
Here, the normal velocity component at outlet of pump is
Write the expression for the normal velocity component at inlet of pump.
Here, the inlet radius is
Write the expression for the tangential velocity component at inlet of pump.
Here, the normal velocity component at inlet of pump is
Write the expression for the linear velocity.
Write the expression for the total head.
Here, the linear velocity of the centrifugal pump in is
Write the expression for the head in
Here, the density of air is
Write the expression for the brake horse power.
Calculation:
Calculating the parameters when inlet angle is
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Calculating the parameters when inlet angle is
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Conclusion:
The net head produced by the pump in
The required brake horsepower is
When there is a swirl at the inlet, the net head produced by the pump and the required brake horsepower will increase. Thus, the angle at which the fluid impinges has an important role in the design of the centrifugal pumps.
As the head of the pump increases to a small extent, there is a large increase in the required brake horsepower. So, the small amount of reverse swirl is not desirable.
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Chapter 14 Solutions
FLUID MECHANICS:FUND.+APPL.(LL)>CUSTOM<
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