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Lesson 15 · Turbine work
What a kilogram gives up
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What a kilogram gives up

Strip the steady-flow energy equation down to a turbine and almost everything cancels: no heat crosses the casing worth counting, and the velocity terms are small. What is left is the enthalpy drop. Read aloud: w equals h-one minus h-two : w=h1−h2w = h_1 - h_2, where h1h_1 is the enthalpy at the stop valve in kJ/kg, h2h_2 is the enthalpy leaving the last stage in the same units, and ww is the specific work, the work taken from every single kilogram. Subscript 1 is always the inlet, 2 always the exhaust, everywhere in this chapter.

Then scale it up: P=m˙ wP = \dot m\,w — P equals m-dot w. m˙\dot m (the dot means per unit time) is the steam mass flow in kg/s, and PP is the shaft power at the coupling. Push the units through and the arithmetic explains itself: kJ/kg × kg/s leaves kJ/s, and a kilojoule per second is a kilowatt. That cancellation is the entire units stage of this lesson, done in your head.

Units guide, they never confess. If a rearrangement's units refuse to cancel into kW, the rearrangement is wrong and there is no appeal. Units that do work out prove nothing at all — the check runs one way only.

wh1h2

w=h1−h2w = h_1 - h_2

  • ww= Specific work
  • h1h_1= Inlet enthalpy
  • h2h_2= Exhaust enthalpy

each variable a specific latent heat

Steam Turbine Specific Work solver →
ṁwP

P=m˙ wP = \dot{m} \, w

  • PP= Shaft power (power)
  • m˙\dot{m}= Steam mass flow (mass flow rate)
  • ww= Specific work (specific latent heat)
Steam Turbine Power Output solver →