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Incoming links: Rankine cycle
An ideal Rankine cycle has four main steps: liquid water is pumped reversibly to high pressure; heat is added at high pressure to produce hot vapour or supercritical working fluid; the fluid expands approximately isentropically through a turbine to produce work; and low-pressure heat rejection in a condenser returns it to liquid. For steady flow, the main work and heat transfers are differences of specific enthalpy.
A steam implementation of the Carnot cycle would require compression of a wet liquid-vapour mixture and reversible isothermal heat transfer, both difficult to achieve with practical machinery. Complete condensation before the Rankine pump makes compression work small because liquid specific volume is small. High-pressure heating and superheating can then occur in a boiler without demanding isothermal addition of all the heat. Superheating also reduces turbine-exit moisture, although the calculated exit may still be wet. The pump, turbine, condenser and boiler can operate continuously as separate flow devices. The Rankine cycle sacrifices some ideal thermal efficiency in return for a practicable steam-plant configuration; no real engine can exceed the Carnot efficiency for the same extreme reservoir temperatures.
For the liquid pump take the explicit incompressible-water estimate vf≃10−3m3kg−1. Its work input isso h2=h1+wp=111.998kJkg−1. With h3=3463 and the preceding h4=1838.74 in the same units,ThusIf pump work is neglected because no liquid density was tabulated, the corresponding approximation is (3463−1838.74)/(3463−84)=48.1%. Stating the approximation explains the small difference. The temperature-extreme Carnot efficiency is about 1−293.15/873.15=66.4%, above both results; finite-temperature-range heat addition in the Rankine cycle does not attain that limit.
wp≃vf(P2−P1)=10−3(28−0.002)106=27.998kJkg−1,
qin=h3−h2=3351.002,wnet=h3−h4−wp=1596.26.
η=qinwnet=0.47635≃47.6%.