In: Mechanical Engineering
a) An open cycle gas turbine engine consists of a compressor, a combustion chamber and a two-stage turbine with a re-heater. The gas enters the compressor at a temperature of 15 C. The pressure ratio of the compressor, which is 90% efficient, is 12. The combustion gas enters the first stage turbine at 1100 C. Both stages of the turbine are 95% efficient. The first stage has a pressure ratio of 4, whereas that of the second stage is 3. The re-heater heats the gas to 1050 C. Assume that the specific heat at constant pressure is equal to 1.005kJ/kgK during compression, and equal to 1.130kJ/kgK during combustion and expansion.
i. Draw the T – s diagram for the cycle marking all necessary state points and given data.
ii.Evaluate the cycle efficiency.
iii. The required power output of the engine is 100kW. Calculate the required mass flow rate of gas.
(b) A heat exchanger is now added to the system in (a). The heat exchanger allows 80% of the maximum possible heat to be transferred.
i. Draw the complete plant for this system, marking the necessary state points and the flow of gas through the system.
ii. Re-evaluate the cycle efficiency, and mass flow rate.