An Open-Cycle gas turbine installation consists of two isentropic compressor stages with intercooling and two isentropic turbine stages with reheating. The ambient air at 100 kPa and 300 K is drawn into the first compressor stage and compressed to the intercooler pressure of 380 kPa. The air is cooled back to 300 K in the intercooler and is compressed to 1000 kPa in the second compressor stage. The compressed air is then heated to 1400 K in the combustion chamber and sent to the first turbine stage. The air leaves the first turbine stage at 380 kPa and enters the reheater, where the air is reheated back to 1400 K before entering the second turbine stage. The air is finally exhausted at 100 kPa by the second turbine stage to the ambient. It is given that the air behaves as an ideal gas with Ca = 1.005 kJ/kg.K and c = 0.72 kJ/kg.K.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An Open-Cycle gas turbine installation consists of two isentropic compressor stages
with intercooling and two isentropic turbine stages with reheating. The ambient air at
100 kPa and 300 K is drawn into the first compressor stage and compressed to the
intercooler pressure of 380 kPa. The air is cooled back to 300 K in the intercooler and
is compressed to 1000 kPa in the second compressor stage. The compressed air is
then heated to 1400 K in the combustion chamber and sent to the first turbine stage.
The air leaves the first turbine stage at 380 kPa and enters the reheater, where the air
is reheated back to 1400 K before entering the second turbine stage. The air is finally
exhausted at 100 kPa by the second turbine stage to the ambient. It is given that the
air behaves as an ideal gas with c, = 1.005 kJ/kg.K and c, = 0.72 kJ/kg.K.
(a) Sketch the layout of the gas turbine installation and the T-s diagram to represent
the operating cycle. Take the inlet to the first compressor stage as State [1] and
mark accordingly all subsequent state points of the cycle.
(b) Find the temperature and pressure at each state of the cycle.
(c)
Determine the turbine work and the compressor work, per kilogram of air.
(d) Calculate the overall thermal efficiency of the gas turbine installation.
Transcribed Image Text:An Open-Cycle gas turbine installation consists of two isentropic compressor stages with intercooling and two isentropic turbine stages with reheating. The ambient air at 100 kPa and 300 K is drawn into the first compressor stage and compressed to the intercooler pressure of 380 kPa. The air is cooled back to 300 K in the intercooler and is compressed to 1000 kPa in the second compressor stage. The compressed air is then heated to 1400 K in the combustion chamber and sent to the first turbine stage. The air leaves the first turbine stage at 380 kPa and enters the reheater, where the air is reheated back to 1400 K before entering the second turbine stage. The air is finally exhausted at 100 kPa by the second turbine stage to the ambient. It is given that the air behaves as an ideal gas with c, = 1.005 kJ/kg.K and c, = 0.72 kJ/kg.K. (a) Sketch the layout of the gas turbine installation and the T-s diagram to represent the operating cycle. Take the inlet to the first compressor stage as State [1] and mark accordingly all subsequent state points of the cycle. (b) Find the temperature and pressure at each state of the cycle. (c) Determine the turbine work and the compressor work, per kilogram of air. (d) Calculate the overall thermal efficiency of the gas turbine installation.
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