Unit content
The ideal Rankine cycle
The Rankine cycle models vapor power plants by allowing the working fluid to evaporate and condense.
The ideal cycle contains four steady-flow processes:
- isentropic pumping of saturated liquid to high pressure;
- constant-pressure heat addition in a boiler, producing vapor;
- isentropic expansion through a turbine;
- constant-pressure heat rejection in a condenser, returning to liquid.
Per unit mass,
$$w_p=h_2-h_1,$$
$$q_{in}=h_3-h_2,$$
$$w_t=h_3-h_4,$$
$$q_{out}=h_4-h_1.$$
The thermal efficiency is
$$\eta_{th}=\frac{w_t-w_p}{q_{in}}.$$
Property tables are usually required because the working fluid crosses liquid, two-phase and vapor regions where an ideal-gas model is inappropriate.
The Rankine cycle is practical precisely because it compresses a liquid rather than a vapor: pump work is small compared with turbine work. This distinguishes vapor power cycles fundamentally from gas-turbine cycles.