(a)
To calculate:
The pressure at point 1.
Answer to Problem 9.49P
Explanation of Solution
Given information:
The diameter at section 1 is
The diameter at section 2 is
The stagnation temperature is equal to
Velocity at point 1 is
Throat pressure is
Speed of sound is defined as,
Where,
The Mach number is defined as,
Where,
The stagnation temperature is defined as,
Where,
Area change is defined as,
The pressure ratio is defined as,
Calculation:
Calculation the temperature at point1,
Calculate the Mach number at point 1,
Find the throat diameter,
Calculate the Mach number at point 2,
Calculate the stagnation pressure,
Calculate the pressure at point 1,
Conclusion:
The pressure at point 1 is equal to
(b)
To calculate:
The Mach number at point 2.
Answer to Problem 9.49P
Explanation of Solution
Given information:
The diameter at section 1 is
The diameter at section 2 is
The stagnation temperature is equal to
Velocity at point 1 is
Throat pressure is
Speed of sound is defined as,
Where,
The Mach number is defined as,
Where,
The stagnation temperature is defined as,
Where,
Area change is defined as,
Calculation:
Calculation the temperature at point1,
Calculate the Mach number at point 1,
Find the throat diameter,
Calculate the Mach number at point 2,
Conclusion:
The Mach number at point 2 is equal to
(c)
To calculate:
The mass flow.
Answer to Problem 9.49P
Explanation of Solution
Given information:
The diameter at section 1 is
The diameter at section 2 is
The stagnation temperature is equal to
Velocity at point 1 is
Throat pressure is
The density at section 1 is defined as,
The mass flow is defined as,
Where,
For ideal gas,
Calculation:
According to sub-part a,
Calculate the density at point 1,
Calculate the mass flow,
Conclusion:
The mass flow is equal to
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Chapter 9 Solutions
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