The rate of fuel burn.
The exit temperature of air.
Answer to Problem 95P
The rate of fuel burn is
The exit temperature of air is
Explanation of Solution
Given information:
The diameter of combustion chamber is
Write the expression for inlet cross- section area of combustion chamber.
Here, diameter of combustion chamber is
Write the expression for inlet density of air.
Here, pressure at inlet is
Write the expression for inlet mass flow rate.
Here, velocity at inlet is
Write the expression for stagnation temperature.
Here, initial temperature is
Write the expression for Mach number at inlet.
Here, specific heat ratio is
Write the expression for heat transfer.
Here, stagnation temperature at inlet is
Write the expression for mass flow rate.
Here, heating value is
Calculation:
Substitute
Refer to Table-A-1 “Molar mass, gas constant, and ideal gas specific heat of some substances” to obtain gas constant of air as
Substitute
Substitute
Substitute
Substitute
Refer to Table-A-15 “Rayleigh flow function for an ideal gas with
Write the relation of temperature at initial stagnation state and sonic state.
Here, temperature inlet sonic state is
Write the relation of velocity at initial stagnation state and sonic state.
Here, inlet velocity at sonic state is
Refer to Table-A-15 “Rayleigh flow function for an ideal gas with
Write the relation of temperature at initial stagnation state and sonic state.
Here, temperature inlet sonic state is
Write the relation of velocity at initial stagnation state and sonic state.
Here, inlet velocity at sonic state is
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The rate of fuel burn is
The exit temperature of air is
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Chapter 12 Solutions
Fluid Mechanics Fundamentals And Applications
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