What is a turbine engine?
A turbine is a wheel (rotor) with many curved blades. A fast stream of steam or gas hits the blades and pushes them round. So the energy of the moving fluid becomes spinning motion of a shaft.
Compared with a piston engine, a turbine has only one kind of motion: spinning. It runs smoothly, with little shaking, and a small turbine can give a lot of power. That is why turbines drive power-station generators, ships and aircraft.
Fixed blades (nozzles or guide vanes) between the moving blades steer the gas onto the next row.
Steam turbines
A steam power plant works in a loop (the Rankine cycle):
- Boiler: fuel heat turns water into high-pressure hot steam.
- Turbine: steam expands through the blades, pressure and temperature fall, the shaft spins.
- Condenser: the used steam is cooled and turns back to water.
- Feed pump: pushes the water back into the boiler.
The steam grows in volume as it expands, so the blades are bigger in each stage. Big plants have several stages (high, medium and low pressure).
- Impulse stage: a nozzle makes a fast jet, the jet pushes the blades.
- Reaction stage: the steam also speeds up inside the moving blades and pushes them like a rocket.
Steam turbines are used where there is a steady heat source: coal, gas, nuclear or solar thermal power stations, and large ships.
Gas turbines
A gas turbine uses hot gas from burning fuel, not steam. It has three main parts on one shaft (the Brayton cycle):
- Compressor: sucks in air and squeezes it to high pressure. The blades get smaller as the air gets squeezed.
- Combustor: fuel is sprayed in and burns. The gas becomes very hot, at nearly the same pressure.
- Turbine: hot gas expands through the blades and spins them.
The turbine makes more power than the compressor needs. Net work = turbine work − compressor work. The extra goes to a generator, a propeller, or (in a jet engine) the gas leaving at the back pushes the plane forward.
Gas turbines start fast (minutes), are light and compact, and are used in aircraft, quick-start power plants and fast ships. Their exhaust is very hot, so it can be reused: the combined cycle adds a steam turbine run on the exhaust heat and reaches about 55 to 60% efficiency.
Efficiency and losses
Efficiency η = work out ÷ heat in. A modern steam plant is about 35 to 45%. A single gas turbine is about 30 to 40%. The rest is waste heat: the condenser water and the hot exhaust. Raising the temperature and pressure of the gas gives better efficiency, but the blades must survive the heat.
Shaft power: P = torque × angular speed = T × 2πN/60, with N in revolutions per minute.
Try it: a pinwheel
Make a paper pinwheel. Blow gently, then hard. Next, hold it above a hot cup of tea (careful) and watch rising steam turn it. Predict: which blows faster, the pinwheel or the 3D wheel at 20% fuel? Check with the slider: more energy in gives faster spin.
Key formulas and definitions
- η = W_out / Q_in
- Net work (gas turbine) = W_turbine − W_compressor
- P = T × 2πN / 60 (N in rpm)
- Combined cycle: η = η₁ + η₂ − η₁η₂
Worked examples
1. A steam plant takes in 100 MW of heat and gives 38 MW of electric power. Find its efficiency and the heat wasted.
η = 38 / 100 = 0.38 = 38%. Waste heat = 100 − 38 = 62 MW (mostly in the condenser).
2. In a gas turbine the turbine produces 60 MW and the compressor needs 25 MW. Find the net power.
Net = 60 − 25 = 35 MW. Notice that 25 MW of the turbine output only runs the compressor.
3. A turbine shaft turns at 3000 rpm with a torque of 100 N·m. Find the power.
ω = 2π × 3000 / 60 = 314.16 rad/s. P = T × ω = 100 × 314.16 ≈ 31 416 W ≈ 31.4 kW.
4. A gas turbine has efficiency 0.35. Its exhaust heat runs a steam cycle of efficiency 0.30. Find the combined-cycle efficiency.
η = 0.35 + 0.30 − 0.35 × 0.30 = 0.65 − 0.105 = 0.545, so about 54.5%.
Common mistakes
- Saying the gas turbine does not need a compressor. The compressor is needed so that fuel burns at high pressure.
- Forgetting that part of the turbine power runs the compressor. Use net work.
- Thinking a turbine "burns" steam. Steam is only the carrier of heat energy; the fuel burns in the boiler.
- Calling efficiency 100% possible. Some heat must always leave as waste.