๐ Axial Turbine Stage Velocity Triangles
Calculate axial turbine stage velocity triangles (stator NGV & rotor), degree of reaction R, loading coefficient psi, specific work output, and Soderberg stage efficiency.
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Turbomachinery
๐ Solver Telemetry
โ ACTIVE
๐๏ธ Views
41
โก Solves
33
๐พ Downloads
316
๐ฆ Fortran Code
5.2 KB
๐
Released
Jun 2026
โฑ๏ธ Latency
< 1 ms
๐ 2D Velocity Triangles (Stator NGV & Rotor Rows)
Real-time visual kinematics: Absolute velocity V (blue), blade speed U (green), relative velocity W (red)๐ Configuration & Presets
๐ญ Industrial Gas Turbine HP
โ๏ธ Aero Jet Engine HPT
๐จ 50% Reaction Parsons Steam
โก Micro Gas Turbine
Euler Turbine Equation & Stage Loading:
โข Specific Work: ฮh0 = U ยท [Vฮธ2 โ Vฮธ3] = U ยท [Vaยท(tan ฮฑ2 โ tan ฮฒ3) โ U] [kJ/kg]
โข Stage Loading Coeff: ฯ = ฮh0 / Uยฒ | Flow Coeff: ฯ = Va / U
โข Degree of Reaction: R = 1 โ (Vฮธ2 + Vฮธ3) / (2ยทU)
โข Stage Power: P = แน ยท ฮh0 [MW].
โข Specific Work: ฮh0 = U ยท [Vฮธ2 โ Vฮธ3] = U ยท [Vaยท(tan ฮฑ2 โ tan ฮฒ3) โ U] [kJ/kg]
โข Stage Loading Coeff: ฯ = ฮh0 / Uยฒ | Flow Coeff: ฯ = Va / U
โข Degree of Reaction: R = 1 โ (Vฮธ2 + Vฮธ3) / (2ยทU)
โข Stage Power: P = แน ยท ฮh0 [MW].
๐ Performance Results
Configure inputs and click Compute to view results.
๐ Calculation Methodology & Turbine Velocity Triangles
Euler Turbine Equation & Swirl
Specific work extracted by the rotor is determined directly by the change in angular momentum of the fluid: $\Delta h_0 = U (V_{\theta 2} - V_{\theta 3})$.
Degree of Reaction & Smith Chart
Degree of reaction $R$ measures the proportion of static enthalpy drop occurring across the rotor vs stator. $R = 0$ corresponds to pure impulse stages, while $R = 0.5$ represents symmetrical 50% Parsons reaction stages.
Key Engineering Assumptions
- 1D mean-line aerodynamic formulation.
- Soderberg profile and secondary loss model.
- Widely used in gas turbine design, aircraft jet engines, and steam turbomachinery.