Steam turbine – Work and efficiency calculation

Input data

Inlet steam mass flow

Inlet temperature

Inlet pressure

Outlet pressure

Isentropic efficiency

Output data

Work

Outlet vapor quality

Outlet temperature

Description

Calculate the work output of a steam turbine considering its isentropic efficiency. The turbine receives superheated steam, expands it to a lower pressure, and generates mechanical power.

TurbineTurbine

The model is based on the First Law of Thermodynamics for steady-flow systems:

W˙=m˙(hehs)\dot{W} = \dot{m} (h_e - h_s)

where:

  • m˙\dot{m}: steam mass flow rate
  • heh_e: inlet steam enthalpy
  • hsh_s: outlet steam enthalpy

The real work is obtained through the isentropic efficiency:

ηiso=WrealWisent\eta_{iso} = \frac{W_{real}}{W_{isent}}

Input data

ParameterStandard unitsDescription
Inlet steam mass flowkg/sSteam mass flow rate entering the turbine
Inlet temperature°CSteam temperature at turbine inlet
Inlet pressurebarSteam pressure at turbine inlet
Outlet pressurebarSteam pressure at turbine exhaust
Isentropic efficiency%Efficiency of the expansion process

Output data

ParameterStandard unitsDescription
Outlet steam mass flowkg/sSteam mass flow rate leaving the turbine
WorkkWPower developed by the turbine
Outlet vapor quality%Dryness fraction of the outlet steam
Outlet temperature°CSteam temperature at turbine exhaust

Technical notes:

  • Enthalpy and entropy are evaluated using thermodynamic water/steam properties.
  • The model assumes adiabatic expansion with negligible heat losses.

References

  • Wagner, W., Cooper, J. R., Dittmann, A., Kijima, J., Kretzschmar, H., Kruse, A., Maresˇ, R., Oguchi, K., Sato, H., Sto¨cker, I., Sˇifner, O., Takaishi, Y., Tanishita, I., Tru¨benbach, J., and Willkommen, T. (January 1, 2000). "The IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam ." ASME. J. Eng. Gas Turbines Power. January 2000; 122(1): 150–184. https://doi.org/10.1115/1.483186
  • Moran, Michael J. Fundamentals of engineering thermodynamics: SI version / Michael J. Moran, Howard N. Shapiro. -- 5th ed.