(a)
To calculate:
The Mach number at point 1.
Answer to Problem 9.35P
Explanation of Solution
Given information:
At stagnation point inside the reservoir,
At section 1,
The static pressure is equal to,
The pressure ratio is defined as,
Assume, for helium gas,
Calculation:
Calculate the Mach number at point 1,
Conclusion:
The Mach number at point 1 is equal to
(b)
To calculate:
The mass flow.
Answer to Problem 9.35P
Explanation of Solution
Given information:
At stagnation point inside the reservoir,
At section 1,
The static pressure is equal to,
The density at section 1 is defined as,
The mass flow is defined as,
Where,
Assume, for helium gas,
The temperature ratio is defined as,
Speed of sound is defined as,
Where,
The Mach number is defined as,
Where,
Calculation:
Calculate the temperature at point 1,
Calculate the speed of sound,
Calculate the velocity at point 1,
Calculate the density at point 1,
Calculate the mass flow,
Conclusion:
The mass flow is equal to
(c)
To calculate:
The temperature at point 1.
Answer to Problem 9.35P
Explanation of Solution
Given information:
At stagnation point inside the reservoir,
At section 1,
The static pressure is equal to,
The temperature ratio is defined as,
According to sub-part a,
Calculate the temperature at point 1,
Conclusion:
The temperature at point 1 is equal to
(d)
Calculate
Answer to Problem 9.35P
Explanation of Solution
Given information:
At stagnation point, inside the reservoir,
At section 1,
The static pressure is equal to,
Assume, for helium gas,
Area change is defined as,
Calculation:
Calculate
According to subpart a,
Therefore,
Solve to find
Conclusion:
According to the above calculation,
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Chapter 9 Solutions
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