The actual (irreversible) components of a small Brayton cycle gas-turbine engine are shown. The cycle pressure ratio is 15 and the maximum turbine temperature is 1600 K. The turbine and the compressor are insulated and have isentropic efficiencies of 88% and 80% respectively. Neglect potential and kinetic energy (non-zero k.e. is accounted for in the component efficiencies). The mass flow rate is 10 kg/s with inlet temperature of T1= 288 K. Cold air: R=0.287 KJ/kg-K, k=1.4, Cp = Rk/k-1 = 1.0045 kJ/kg-K
a) Find the cycle COP = thermal efficiency = ________% < Carnot limit = (TH-TC)/TH = 0.820
b) Find the actual heat transfer rates required, QIN,HOT = ________kJ/s, QOUT,COLD =________kJ/s
c) Find the area of the compressor intake for a velocity of 50 m/s, A1 = _________m2
d) Find the actual turbine & compressor power, WT,OUT = _________kW, WC,IN = ___________kW