[4] A radial turbine is proposed as the gas expansion element of a nuclear powered Brayton cycle space power system. The pressure and temperature conditions through the stage at the design point are to be as follows: Upstream of nozzles, Poi = 699 kPa, ToI 1145 K; %3| Nozzle exit, P2 = 527.2 kPa, T2 = 1029 K; Rotor exit, P3 = 384.7 kPa, T3 = 914.5 K, T03 = 924.7 K. The ratio of rotor exit mean diameter to rotor inlet tip diameter is chosen as 0.5 and the required rotational speed as 24,000 rev/min. Assuming the relative flow at rotor inlet is radial and the absolute flow at rotor exit is axial, determine (i) the total-to-static efficiency of the turbine; (ii) the rotor diameter; (iii) the implied enthalpy loss coefficients for the nozzles and rotor row.

Elements Of Electromagnetics
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Problem 4
[4] A radial turbine is proposed as the gas expansion element of a nuclear powered
Brayton cycle space power system. The pressure and temperature conditions through
the stage at the design point are to be as follows:
Upstream of nozzles, poi
: 699 kPa, T01 = 1145 K;
Nozzle exit,
P2 = 527.2 kPa, T2 = 1029 K;
||
Rotor exit,
P3 = 384.7kPa, T 3 = 914.5 K, T03 = 924.7 K.
The ratio of rotor exit mean diameter to rotor inlet tip diameter is chosen as 0.5 and the
required rotational speed as 24,000 rev/min. Assuming the relative flow at rotor inlet is
radial and the absolute flow at rotor exit is axial, determine (i) the total-to-static
efficiency of the turbine; (ii) the rotor diameter; (iii) the implied enthalpy loss
coefficients for the nozzles and rotor row.
Transcribed Image Text:[4] A radial turbine is proposed as the gas expansion element of a nuclear powered Brayton cycle space power system. The pressure and temperature conditions through the stage at the design point are to be as follows: Upstream of nozzles, poi : 699 kPa, T01 = 1145 K; Nozzle exit, P2 = 527.2 kPa, T2 = 1029 K; || Rotor exit, P3 = 384.7kPa, T 3 = 914.5 K, T03 = 924.7 K. The ratio of rotor exit mean diameter to rotor inlet tip diameter is chosen as 0.5 and the required rotational speed as 24,000 rev/min. Assuming the relative flow at rotor inlet is radial and the absolute flow at rotor exit is axial, determine (i) the total-to-static efficiency of the turbine; (ii) the rotor diameter; (iii) the implied enthalpy loss coefficients for the nozzles and rotor row.
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