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A steam engine is a heat engine that converts part of the energy carried by steam into mechanical work. In a reciprocating design, expanding steam pushes a piston; valves admit and exhaust the working fluid so that the motion can repeat. A crank can convert the reciprocation into rotation. A steam turbine instead extracts work from a continuously flowing stream.

The boiler supplies heat to water, but the engine's useful output depends on pressure changes during expansion and exhaust. For an idealized quasi-static piston, boundary work is $W=\int pdV$. The net work over a cycle is the signed enclosed area on a pressure-volume diagram. Some input heat must be rejected: turning boiler heating into motion does not circumvent the Second law of thermodynamics.

A steam turbine extracts mechanical work from flowing steam as it expands through stationary passages and moving blades. The moving blades change the flow's angular momentum and receive a corresponding torque. A shaft transfers the resulting power to a generator or another load. Unlike a reciprocating steam engine, the working stream passes continuously through the machine.^[ref]

For steady approximately adiabatic operation with negligible changes in inlet-to-outlet kinetic and gravitational energy, the first law of thermodynamics giveswhere $\dot{m}$ is mass flow rate and $h$ is specific enthalpy. An actual enthalpy drop of $500\mathrm{kJ}\mathrm{k}{\mathrm{g}}^{-1}$ at $2\mathrm{kg}{\mathrm{s}}^{-1}$ therefore gives $1\mathrm{MW}$ of shaft power under these assumptions. If the reversible adiabatic drop to the same outlet pressure were $625\mathrm{kJ}\mathrm{k}{\mathrm{g}}^{-1}$, the turbine's isentropic efficiency would be $500/625=0.8$.^[ref]

A performance test measures inlet and outlet pressure and temperature, flow rate, shaft torque and rotational speed. If the exhaust is a liquid-vapor mixture, pressure and temperature alone do not determine its specific enthalpy; the vapor fraction or an additional energy balance is needed. Condensing exhaust and supplying useful process steam are different operating arrangements, so turbine efficiency and whole-plant fuel efficiency must also be distinguished.^[ref]

W. J. M. Rankine was a Scottish engineer and physicist who contributed to thermodynamics, classical mechanics and the teaching of engineering. As professor of civil engineering and mechanics at Glasgow from 1855 to 1872, he emphasized connecting theory with practice and worked with shipbuilders on vessels and engines.^[ref]

The Rankine cycle connects his name with the analysis of heat engines using a working fluid that undergoes vaporization and condensation. Its idealized sequence of pumping, heating, expansion and cooling connects a practical steam engine to a calculation of mechanical work and thermal efficiency. The broader importance of his work lies in making quantitative physical theory part of systematic engineering design.

Institutional historical profile: Imperial College historical plaque booklet: William John Macquorn Rankine.