Gas Turbines
A gas turbine is a continuous-flow internal combustion engine that produces shaft work by compressing air, adding heat in a combustor, and expanding the hot combustion gases through a turbine. The thermodynamic cycle is the Brayton cycle, which in its ideal form consists of four internally reversible processes: isentropic compression (1-2), constant-pressure heat addition (2-3), isentropic expansion (3-4), and constant-pressure heat rejection (4-1) in an open cycle to the atmosphere. The compressor, usually axial or centrifugal, consumes a large fraction of the turbine work; the net work is the difference between turbine and compressor work. The compressor pressure ratio r_p = P_2 / P_1 strongly influences both specific work and thermal efficiency. For an ideal Brayton cycle with air-standard assumptions, the thermal efficiency depends only on the pressure ratio: eta_th = 1 - 1 / r_p^((gamma-1)/gamma). In real machines, component isentropic efficiencies (eta_c for the compressor and eta_t for the turbine) reduce net work, and pressure losses in the combustor and ducts further degrade performance. The combustor adds heat at nearly constant pressure, and turbine inlet temperature (TIT) is limited by blade material, cooling technology, and coatings. Higher TIT raises specific work and efficiency but demands advanced cooling and thermal barrier coatings. Practical performance is described by specific fuel consumption (SFC), heat rate, and thermal efficiency. Gas turbines are used in aircraft propulsion (turbojet, turbofan, turboprop), power generation (simple cycle, combined cycle, and CHP), and mechanical drives. In combined-cycle plants, the turbine exhaust is used in a heat recovery steam generator (HRSG) to drive a steam bottoming cycle, lifting overall efficiency above 60%.
Knowledge Check
1.Which thermodynamic cycle best describes the operation of a gas turbine?
2.In an ideal Brayton cycle, which quantity determines the thermal efficiency?
3.A gas turbine has a compressor pressure ratio of 16 and gamma = 1.4. What is the ideal Brayton thermal efficiency?
4.What is the back work ratio (BWR) of a gas turbine?
5.Why does the compressor consume a large fraction of the turbine work in a gas turbine?
6.How does increasing the turbine inlet temperature (TIT) affect gas turbine performance, assuming the pressure ratio is fixed?
7.A gas turbine has a compressor isentropic efficiency of 0.85 and a turbine isentropic efficiency of 0.90. Compared with the ideal cycle at the same pressure ratio, what happens to net work and efficiency?
8.In a combined-cycle power plant, what is the role of the heat recovery steam generator (HRSG)?
9.What does a gas turbine's heat rate of 10,000 kJ/kWh imply about its thermal efficiency?
10.Which of the following is a correct statement about the ideal Brayton cycle?