Adiabatic Turbine Specific Work
Relate turbine work output per unit mass to the enthalpy drop.
Try this formula
Calculate shaft work output per unit mass or choose another supported quantity.
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Try this formula
Calculate shaft work output per unit mass or choose another supported quantity.
Use decimals or scientific notation, such as 1.2e3. Calculations update as you type.
Shaft work output per unit mass
Enter the known values to see the result.
The turbine operates at steady state with one inlet and one outlet. Heat transfer and changes in kinetic and potential energy are negligible. Use mass-specific enthalpies on the same reference basis; no isentropic assumption is required.
Difficulty
Intermediate
Read time
5 min
Prerequisites
Basic algebra and introductory thermodynamics
Source
Teng-Jui Lin — CHEM E 326 — Chemical Engineering ThermodynamicsReference equation: Rankine cycle — Turbine. FormuLab wrote new explanations, assumptions, applications, and numerical examples. Used positive work output and J/kg units; the upstream dotted specific-work notation is not treated as power.
Adapted from Teng-Jui Lin, Equation Sheets — Mechanical Engineering Expansion, under CC BY 4.0.
Adapted standard equations and added original lesson text, variables, SI examples, and assumptions. Used positive work output and J/kg units; the upstream dotted specific-work notation is not treated as power.
Definition
The flowing fluid loses enthalpy while delivering shaft work. With the stated energy terms neglected, each joule per kilogram of enthalpy drop appears as a joule per kilogram of shaft work output.
Variables & Units
| Symbol | Meaning | Units |
|---|---|---|
| Shaft work output per unit mass | ||
| Inlet specific enthalpy | ||
| Outlet specific enthalpy |
Real-World Applications
Steam turbines
Calculate specific work from supplied inlet and outlet enthalpies.
Cycle balances
Obtain turbine work for a Rankine-cycle energy balance.
Worked Example
Problem
A steady adiabatic turbine has inlet enthalpy 3,200 kJ/kg and outlet enthalpy 2,200 kJ/kg. Find specific shaft work output.
Given
Solution
Final Answer
Contents
Info
Tools
Source & review
Reference equation: Rankine cycle — Turbine. FormuLab wrote new explanations, assumptions, applications, and numerical examples. Used positive work output and J/kg units; the upstream dotted specific-work notation is not treated as power.
Adapted from Teng-Jui Lin, Equation Sheets — Mechanical Engineering Expansion, under CC BY 4.0.
Adapted standard equations and added original lesson text, variables, SI examples, and assumptions. Used positive work output and J/kg units; the upstream dotted specific-work notation is not treated as power.
Assumptions
- • The turbine operates at steady state with one inlet and one outlet.
- • Heat transfer and changes in kinetic and potential energy are negligible.
- • Use mass-specific enthalpies on the same reference basis; no isentropic assumption is required.
Languages
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