Problem #2 Axial Compressor Data Speed of rotation (2) 28,000 rpm Pressure ratio 8 Mean blade radius (rm) 0.25 m Mass flow rate (m) 8 kg/s Inlet stagnation pressure (po1) 100kPa Inlet stagnation temperature (Tor) 288K Stage loading (w) 0.32 Total-to-total efficiency (7) 0.78 Inlet swirl angle (a,) 15° Inlet Mach number (M) Given the above information for an axial compressor a) Find the stagewise polytropic efficiency assuming equal work and efficiency per stage b) Estimate the minimum number of stages c) Calculate the reaction (R) If the turbine is rematched such that flow is redučed by 10% and the swirl angle remains constant d) Find the new stage loading (w) and reaction (R)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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Course: fluid mechanics and Turbomachinery 

book reference: Dixon and Hall, “Fluid Mechanics and Thermodynamics of Turbomachinery, 7th ed.; Butterworth-Heinemann; Waltham, MA. 2014

Problem #2
Axial Compressor Data
Speed of rotation (2) 28,000 rpm
Pressure ratio 8
Mean blade radius (rm) 0.25 m
Mass flow rate (m) 8 kg/s
Inlet stagnation pressure (po1) 100kPa
Inlet stagnation temperature (Tor) 288K
Stage loading (w) 0.32
Total-to-total efficiency (7) 0.78
Inlet swirl angle (a,) 15°
Inlet Mach number (M)
Given the above information for an axial compressor
a) Find the stagewise polytropic efficiency assuming equal work
and efficiency per stage
b) Estimate the minimum number of stages
c) Calculate the reaction (R)
If the turbine is rematched such that flow is redučed by 10% and
the swirl angle remains constant
d) Find the new stage loading (w) and reaction (R)
Transcribed Image Text:Problem #2 Axial Compressor Data Speed of rotation (2) 28,000 rpm Pressure ratio 8 Mean blade radius (rm) 0.25 m Mass flow rate (m) 8 kg/s Inlet stagnation pressure (po1) 100kPa Inlet stagnation temperature (Tor) 288K Stage loading (w) 0.32 Total-to-total efficiency (7) 0.78 Inlet swirl angle (a,) 15° Inlet Mach number (M) Given the above information for an axial compressor a) Find the stagewise polytropic efficiency assuming equal work and efficiency per stage b) Estimate the minimum number of stages c) Calculate the reaction (R) If the turbine is rematched such that flow is redučed by 10% and the swirl angle remains constant d) Find the new stage loading (w) and reaction (R)
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