
Concept explainers
(a)
The axial speeds

Answer to Problem 65EP
The axial speed
The axial speed
Explanation of Solution
Given information:
The diameter at the entrance of the nozzle is
Write the expression for axial speeds at the nozzle entrance.
Here, the volume flow rate is
Write the expression for axial speeds at the nozzle exit.
Here, the axial speed at the exit of the nozzle is
Calculation:
Substitute
Substitute
Conclusion:
The axial speeds
The axial speeds
(b)
The several streamlines in the

Answer to Problem 65EP
The following figure represents the stream lines.
Explanation of Solution
Given information:
The diameter at the entrance of the nozzle is
Write the expression for axial speeds at the nozzle entrance.
Here, the volume flow rate is
Write the expression for axial speeds at the nozzle exit.
Here, the axial speed at the exit of the nozzle is
Write the expression for stream function of the flow filed.
Here, the stream function of the flow field is
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
The different values of stream function and radius are shown below the table.
| | | |
| | | |
| | | |
| | | |
| | | |
The following figure represents the stream line with varying of length.
Figure-(1)
For design, the shape of the nozzle is like the graph of the boundary layers.
Conclusion:
The following figure represents the stream lines.
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Chapter 9 Solutions
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