Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version
8th Edition
ISBN: 9781119080701
Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
Publisher: WILEY
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Chapter 12.1, Problem 1P
To determine

Whether the device is a pump or a turbine.

Expert Solution & Answer
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Answer to Problem 1P

The device is a pump.

Explanation of Solution

Pump: It is defined as a machine or device which is used to force a fluid to move in a given direction. In the case of pump, the work is done on the fluid.

Turbine: It is defined as a mechanical machine which is used to produce continuous power. In the case of turbine, the work is done by the fluid.

Draw the velocity diagram for the given figure.

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version, Chapter 12.1, Problem 1P

Figure-(1)

Write the expression for the linear velocity of the blade at inlet.

    U1=ωr1                                                      (I)

Here, the radius of the blade at inlet is r1 and the angular velocity is ω.

Write the expression for the linear velocity of the blade at exit.

    U2=ωr2                                                     (II)

Here, the radius of the blade at outlet is r2.

Since, the angular velocity is remains constant at inlet and outlet, only the radius is different. The outlet radius is greater than the inlet radius. Hence, the exit velocity is also greater than the inlet velocity. Due to this the direction of absolute velocity is changed from V1 to V2 passing through blade from inlet to exit.

Therefore, the work is done on the fluid by the device hence the device is a pump.

Conclusion:

Thus, the device is a pump.

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Chapter 12 Solutions

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

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