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(a)
To calculate:
The Mach number at point 1.
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Answer to Problem 9.33P
Explanation of Solution
Given information:
At stagnation point inside the reservoir,
At section 1,
Speed of sound is defined as,
Where,
The Mach number is defined as,
Where,
The stagnation temperature is defined as,
Where,
Calculation:
Calculate the temperature at point 1,
Substitute for known values,
Solve for temperature
Calculate the speed of sound,
Calculate the Mach number at section 1,
Conclusion:
The Mach number at section 1 is equal to
(b)
To calculate:
The Temperature at point 1.
![Check Mark](/static/check-mark.png)
Answer to Problem 9.33P
Explanation of Solution
Given information:
At stagnation point inside the reservoir,
At section 1,
The stagnation temperature is defined as,
Where,
Calculation:
Calculate the temperature at point 1,
Substitute for known values,
Solve for temperature
Conclusion:
The temperature at section 1 is equal to
(c)
To calculate:
The pressure at point 1.
![Check Mark](/static/check-mark.png)
Answer to Problem 9.33P
Explanation of Solution
Given information:
At stagnation point, inside the reservoir,
At section 1,
The pressure ratio is defined as,
Where,
Calculation:
Calculate the pressure at point 1,
According to sub-part a,
Therefore,
Solve for pressure at point 1,
Conclusion:
The pressure at section 1 is equal to
(d)
To calculate:
The mass flow.
![Check Mark](/static/check-mark.png)
Answer to Problem 9.33P
Explanation of Solution
Given information:
At stagnation point, inside the reservoir,
At section 1,
The density at section 1 is defined as,
The pressure ratio is defined as,
The mass flow is defined as,
Where,
For ideal gas,
Calculation:
Calculate the density at section1,
Calculate the mass flow,
Conclusion:
The mass flow is equal to
(e)
Calculate
![Check Mark](/static/check-mark.png)
Answer to Problem 9.33P
The flow is choked
Explanation of Solution
Given information:
At stagnation point, inside the reservoir,
At section 1,
For perfect gas, where
Area change is defined as,
Calculation:
Calculate
According to subpart a,
Therefore,
Conclusion:
The flow is choked, because to produce supersonic flow in the duct
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Chapter 9 Solutions
Fluid Mechanics
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