Q2: An air-standard regenerative Brayton cycle produces 10 MW of power. Operating data at principal
states in the cycle are provided below. The regenerator effectiveness is 70%, and the compressor and
turbine isentropic efficiencies are both 80%. Sketch the T-s diagram and determine:
(a) Fill in the table
(b) The mass flow rate of air, in [kg/s] (43 kg/s)
(c) The rate of heat transfer, in kW, into the working fluid at the combustor (30,200 kW)
(d) The thermal efficiency (33%)
State P (kPa) T (K) h (kJ/kg)
1
100
300 300.19
2s
1200
603.5 610.65
2
1200
X
3
1200 1450
1575.57
4s
4
100
y
Regenerator
$\eta_{reg} = 70%$
P2 = 1200 kPa
2
1
Compressor
$\eta_c = 80%$
4
P4 = 100 kPa
Combustor
T3=1450 K
P3 = 1200 kPa
-3
Turbine
$\eta_t = 80%$
$\dot{W}_{cycle} = 10$ MW
T? = 300K
P? = 100 kPa