A combined gas turbine and steam power cycle is shown in the schematic below. Air enters the compressor of the gas turbine cycle at state 1 with mass flow rate ri, and then passes through a combustor where it is heated before entering Turbine 1. Thirty percent (30%) of the total power produced by Turbine 1 is used to drive the compressor and the remaining results in a net power output of Wr1,net: The air leaving Turbine 1 passes through Heat Exchanger 1 and transfers heat to the steam power cycle. Water in the steam power cycle with mass flow rate rn,=15 kg/s enters Heat Exchanger 1 at state 6 where it is heated by the air before passing through Turbine 2. The water exits Turbine 2 at state 8, is condensed in Heat Exchanger 2 and then pumped back up to the state 6 pressure. The cooling water used in Heat Exchanger 2 has a mass flow rate ih,=150 kg/s. After cooling the steam in the heat exchanger, the cooling water flows through a nozzle, and exits at state 12. Neglect changes in potential energy across all devices and neglect kinetic energy at all states except the nozzle exit (state 12). Assume the compressor, turbines, pump, nozzle and exterior walls of the heat exchangers are well insulated. Treat air as an ideal gas. a) Determine the pump power, W, and the Turbine 2 power, Wr2. b) Determine the thermal efficiency of the steam power cycle, Nths. c) Determine the nozzle exit velocity, ü12. Do not use the Ah=CPAT approximation in your computations for this part. d) Determine the heat transfer to the combustor, Qe. e) Determine the net power output of Turbine 1, Wr1,net. f) Determine the temperature of the air at the inlet to the compr:ssor, T,. T, 500 K T, - 1200 K Combustor Compressor Turbine 1 T. 400 K T, 600 K Air in, НЕ 1 P, P. P, 5000 kPa T, 350°C Steam (Water) Turbine 2 n, 15 kg/s P, 250 kPa sat. liquid P,P, НЕ 2 X- 0.05 Tp=15°C Po100 kPa O P., P Nozzle Cooling Water m, 150 kg/s ® T;= 40°C P00 kPa
A combined gas turbine and steam power cycle is shown in the schematic below. Air enters the compressor of the gas turbine cycle at state 1 with mass flow rate ri, and then passes through a combustor where it is heated before entering Turbine 1. Thirty percent (30%) of the total power produced by Turbine 1 is used to drive the compressor and the remaining results in a net power output of Wr1,net: The air leaving Turbine 1 passes through Heat Exchanger 1 and transfers heat to the steam power cycle. Water in the steam power cycle with mass flow rate rn,=15 kg/s enters Heat Exchanger 1 at state 6 where it is heated by the air before passing through Turbine 2. The water exits Turbine 2 at state 8, is condensed in Heat Exchanger 2 and then pumped back up to the state 6 pressure. The cooling water used in Heat Exchanger 2 has a mass flow rate ih,=150 kg/s. After cooling the steam in the heat exchanger, the cooling water flows through a nozzle, and exits at state 12. Neglect changes in potential energy across all devices and neglect kinetic energy at all states except the nozzle exit (state 12). Assume the compressor, turbines, pump, nozzle and exterior walls of the heat exchangers are well insulated. Treat air as an ideal gas. a) Determine the pump power, W, and the Turbine 2 power, Wr2. b) Determine the thermal efficiency of the steam power cycle, Nths. c) Determine the nozzle exit velocity, ü12. Do not use the Ah=CPAT approximation in your computations for this part. d) Determine the heat transfer to the combustor, Qe. e) Determine the net power output of Turbine 1, Wr1,net. f) Determine the temperature of the air at the inlet to the compr:ssor, T,. T, 500 K T, - 1200 K Combustor Compressor Turbine 1 T. 400 K T, 600 K Air in, НЕ 1 P, P. P, 5000 kPa T, 350°C Steam (Water) Turbine 2 n, 15 kg/s P, 250 kPa sat. liquid P,P, НЕ 2 X- 0.05 Tp=15°C Po100 kPa O P., P Nozzle Cooling Water m, 150 kg/s ® T;= 40°C P00 kPa
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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Question
part a b and c
Transcribed Image Text:A combined gas turbine and steam power cycle is shown in the schematic below. Air enters the
compressor of the gas turbine cycle at state 1 with mass flow rate ma and then passes through a
combustor where it is heated before entering Turbine 1. Thirty percent (30%) of the total power produced
by Turbine 1 is used to drive the compressor and the remaining results in a net power output of Wr1,net-
The air leaving Turbine 1 passes through Heat Exchanger 1 and transfers heat to the steam power cycle.
Water in the steam power cycle with mass flow rate rm,=15 kg/s enters Heat Exchanger 1 at state 6 where
it is heated by the air before passing through Turbine 2. The water exits Turbine 2 at state 8, is condensed
in Heat Exchanger 2 and then pumped back up to the state 6 pressure. The cooling water used in Heat
Exchanger 2 has a mass flow rate rh,,=150 kg/s. After cooling the steam in the heat exchanger, the cooling
water flows through a nozzle, and exits at state 12. Neglect changes in potential energy across all devices
and neglect kinetic energy at all states except the nozzle exit (state 12). Assume the compressor, turbines,
pump, nozzle and exterior walls of the heat exchangers are well insulated. Treat air as an ideal gas.
a) Determine the pump power, W, and the Turbine 2 power, Wr2.
b) Determine the thermal efficiency of the steam power cycle, 1th.s.
c) Determine the nozzle exit velocity, v12. Do not use the Ah=CPAT approximation in your
computations for this part.
d) Determine the heat transfer to the combustor, Qe.
e) Determine the net power output of Turbine 1, Wr1,net.
f) Determine the temperature of the air at the inlet to the compr :ssor, T,.
T, = 500 K
т, 1200 к
Combustor
Compressor
Turbine 1
T- 400 K
T, = 600 K O
in,
P, = P.
to T, = 350'C
P.- 5000 kPa
Steam (Water)
Turbine 2
m, - 15 kg/s
P,- 250 kPa
sat. liquid
P, - P,
X = 0.85
НЕ 2
T=15°C
P-100 kPa
Cooling Water
m,-150 kgis
Nozzle
2 T=40°C
P=80 kPa
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