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An ideal gas turbine cycle consisting of 2 stages of compression and 2 stages of expansion has an overall pressure ratio of 9. Air enters the compressors at the temperature of 320 K while, being intercooled between the stages. Air enters the first compressor at 100 kPa and the pressure ratio of cach of the compressors are selected in a way that minimizes the total power input for the compressors. The high-pressure turbine (First one) drives the compressors and the low-pressure one produces power output. The compressors and both the high-pressure and low-pressure turbines can be assumed ideal. To increase the efficiency of the cycle a regenerator with effectiveness of 85% is used to recover some heat from the exhaust of the second turbine. In this cycle, air with the temperature of 1400 K enters the first turbine. After expansion in the first turbine, air is reheated to the same temperature at the inlet of the first turbine (1400 K). You can consider constant specific heats of c,=1.005 kJ/kg.K and c,=0.718 kJ/kg.K to analyze this problem and air can be assumed ideal gas. (Hint: Try to use equation of to relate pressure and temperature in the isentropic processes) and (k = 2 ). a) Determine the pressure ratio of each of the compressors and total specific work input to the compressors. b) What is the pressure ratio of the high-pressure turbine? (Hint: The work output of the first turbine should be equal to total work input to the compressors.) c) Find the net specific work output of the cycle. d) Determine the thermal efficiency of the cycle. egonera Reheater chanber Compeer Compressr Tutine Intercooler

An ideal gas turbine cycle consisting of 2 stages of compression and 2 stages of expansion has an overall pressure ratio of 9. Air enters the compressors at the temperature of 320 K while, being intercooled between the stages. Air enters the first compressor at 100 kPa and the pressure ratio of cach of the compressors are selected in a way that minimizes the total power input for the compressors. The high-pressure turbine (First one) drives the compressors and the low-pressure one produces power output. The compressors and both the high-pressure and low-pressure turbines can be assumed ideal. To increase the efficiency of the cycle a regenerator with effectiveness of 85% is used to recover some heat from the exhaust of the second turbine. In this cycle, air with the temperature of 1400 K enters the first turbine. After expansion in the first turbine, air is reheated to the same temperature at the inlet of the first turbine (1400 K). You can consider constant specific heats of c,=1.005 kJ/kg.K and c,=0.718 kJ/kg.K to analyze this problem and air can be assumed ideal gas. (Hint: Try to use equation of to relate pressure and temperature in the isentropic processes) and (k = 2 ). a) Determine the pressure ratio of each of the compressors and total specific work input to the compressors. b) What is the pressure ratio of the high-pressure turbine? (Hint: The work output of the first turbine should be equal to total work input to the compressors.) c) Find the net specific work output of the cycle. d) Determine the thermal efficiency of the cycle. egonera Reheater chanber Compeer Compressr Tutine Intercooler

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An ideal gas turbine cycle consisting of 2 stages of compression and 2 stages of expansion has an overall pressure ratio of 9. Air enters the compressors at the temperature of 320 K while, being intercooled between the stages. Air enters the first compressor at 100 kPa and the pressure ratio of cach of the compressors are selected in a way that minimizes the total power input for the compressors. The high-pressure turbine (First one) drives the compressors and the low-pressure one produces power output. The compressors and both the high-pressure and low-pressure turbines can be assumed ideal. To increase the efficiency of the cycle a regenerator with effectiveness of 85% is used to recover some heat from the exhaust of the second turbine. In this cycle, air with the temperature of 1400 K enters the first turbine. After expansion in the first turbine, air is reheated to the same temperature at the inlet of the first turbine (1400 K). You can consider constant specific heats of c,=1.005 kJ/kg.K and c,=0.718 kJ/kg.K to analyze this problem and air can be assumed ideal gas. (Hint: Try to use equation of to relate pressure and temperature in the isentropic processes) and (k = 2 ). a) Determine the pressure ratio of each of the compressors and total specific work input to the compressors. b) What is the pressure ratio of the high-pressure turbine? (Hint: The work output of the first turbine should be equal to total work input to the compressors.) c) Find the net specific work output of the cycle. d) Determine the thermal efficiency of the cycle. egonera Reheater chanber Compeer Compressr Tutine Intercooler
Transcribed Image Text:An ideal gas turbine cycle consisting of 2 stages of compression and 2 stages of expansion has an overall pressure ratio of 9. Air enters the compressors at the temperature of 320 K while, being intercooled between the stages. Air enters the first compressor at 100 kPa and the pressure ratio of cach of the compressors are selected in a way that minimizes the total power input for the compressors. The high-pressure turbine (First one) drives the compressors and the low-pressure one produces power output. The compressors and both the high-pressure and low-pressure turbines can be assumed ideal. To increase the efficiency of the cycle a regenerator with effectiveness of 85% is used to recover some heat from the exhaust of the second turbine. In this cycle, air with the temperature of 1400 K enters the first turbine. After expansion in the first turbine, air is reheated to the same temperature at the inlet of the first turbine (1400 K). You can consider constant specific heats of c,=1.005 kJ/kg.K and c,=0.718 kJ/kg.K to analyze this problem and air can be assumed ideal gas. (Hint: Try to use equation of to relate pressure and temperature in the isentropic processes) and (k = 2 ). a) Determine the pressure ratio of each of the compressors and total specific work input to the compressors. b) What is the pressure ratio of the high-pressure turbine? (Hint: The work output of the first turbine should be equal to total work input to the compressors.) c) Find the net specific work output of the cycle. d) Determine the thermal efficiency of the cycle. egonera Reheater chanber Compeer Compressr Tutine Intercooler
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