You have been asked to help with the low-pressure compressor (LPC) design for a turbofan engine with a bypass ratio of 8.4. The preliminary cycle design calls for the LPC to produce a pressure ratio of 9.4 with the following operating conditions and constraints. Inlet Conditions Core Air Mass Flowrate (kg/s) 47.0 To2 (K) Po2 (kPa) 282 24.6 Design Constraints Maximum Maximum Polytropic Stage Pr 1.55 Efficiency 94.1% Estimate the minimum number of stages required for this LPC. Then assuming the 1st stage of the LPC operates at the maximum allowable pressure ratio, determine the stagnation temperature exiting the 1st stage, and the stage's adiabatic efficiency. Also determine the power (W) required to operate the full LPC (not just 1st stage). Finally, what would be the percent change in the required power if the polytropic efficiency was only 90.0%.

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.19P
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You have been asked to help with the low-pressure compressor (LPC) design for a
turbofan engine with a bypass ratio of 8.4. The preliminary cycle design calls for the
LPC to produce a pressure ratio of 9.4 with the following operating conditions and
constraints.
.Inlet Conditions
TO2
Poz
Core Air Mass
Flowrate (kg/s) (K) (kPa)
282 24.6
47.0
Design Constraints
Maximum Polytropic
Efficiency
94.1%
Maximum
Stage Pr
1.55
Estimate the minimum number of stages required for this LPC. Then assuming the 1st
stage of the LPC operates at the maximum allowable pressure ratio, determine the
stagnation temperature exiting the 1st stage, and the stage's adiabatic efficiency. Also
determine the power (W) required to operate the full LPC (not just 1st stage). Finally,
what would be the percent change in the required power if the polytropic efficiency
was only 90.0%.
Transcribed Image Text:You have been asked to help with the low-pressure compressor (LPC) design for a turbofan engine with a bypass ratio of 8.4. The preliminary cycle design calls for the LPC to produce a pressure ratio of 9.4 with the following operating conditions and constraints. .Inlet Conditions TO2 Poz Core Air Mass Flowrate (kg/s) (K) (kPa) 282 24.6 47.0 Design Constraints Maximum Polytropic Efficiency 94.1% Maximum Stage Pr 1.55 Estimate the minimum number of stages required for this LPC. Then assuming the 1st stage of the LPC operates at the maximum allowable pressure ratio, determine the stagnation temperature exiting the 1st stage, and the stage's adiabatic efficiency. Also determine the power (W) required to operate the full LPC (not just 1st stage). Finally, what would be the percent change in the required power if the polytropic efficiency was only 90.0%.
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