A regenerative gas turbine engine operates on the cycle shown in the diagram. Turbine T1 drives the compressor, turbine T2 delivers power to an external system. Known design point data are as follows:
p1 = p7 = 14.7 psia (101.3 kPa) Compressor efficiency = 80%
p2 = 58.8 psia (405.2 kPa) Turbine T1 efficiency = 87%
p3 = 57.5 psia (396.2 kPa) Turbine T2 efficiency = 84%
p4 = 56.0 psia (385.9 kPa) Air flow entering compressor = 2.2 lb/s (998 g/s)
p6 = 15.5 psia (106.8 kPa) Assume no leakage through the regenerator
T1 = 545°R (303 K)
T3 = 1550°R (861 K)
T4 = 2160°R (1200 K)
Assuming an air standard cycle but taking into account the mass of fuel added, calculate:
(a) The temperature at state 5
(b) The pressure at state 5
(c) The horsepower developed by this engine
(d) The temperature at state 6
(e) The temperature at state 7
(f) The regenerator effectiveness
(g) The specific fuel consumption