Steam turbine simulation

1 inlet -> [extraction, exhaust] (extraction / back-pressure staging)

Governing equations

The exact equations the solver works for a steam turbine — the same math shown in the app's "Theory" panel, not a black box.

$T$

temperature [K]

$P_1$

inlet (throttle) pressure [Pa]

$P_{ext}$

extraction (intermediate draw) pressure [Pa]

$P_{exh}$

exhaust (back-pressure header / condenser) pressure [Pa]

$T_{2s}$

isentropic outlet temperature of a section [K]

$\eta$

per-section isentropic efficiency

$F$

inlet molar flow [mol/s]

$f$

extraction fraction (share drawn off at P_ext) [-]

$\dot m_{ext}$

extraction draw = f·F [mol/s]

$h_{in}$

inlet molar enthalpy [J/mol]

$h_{ext}$

molar enthalpy after the HP section (at P_ext) [J/mol]

$h_{exh}$

exhaust molar enthalpy (after the LP section) [J/mol]

$W_{shaft}$

total shaft power: HP (full flow) + LP (un-extracted flow) sections [W]

Parameters

outlet_pressure [Pa, exhaust]; optional extraction_pressure [Pa, between exhaust and inlet] + extraction_fraction [0-1] for an extraction draw; efficiency [default 0.80] — multi-section steam expander (extraction / back-pressure), power [W] = sum of both sections; on the steam-tables (IAPWS) package a wet exhaust is tracked (phase 'mixed', exhaust_quality reported) with a Baumann wetness efficiency correction

Example flowsheets that use it