๐ Centrifugal Compressor Stage Sizer
Size centrifugal compressor stages: polytropic head (Schulz/ASME PTC 10), impeller tip Mach number, shaft power demand, discharge temperature, and surge margin.
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Turbomachinery
๐ Solver Telemetry
โ ACTIVE
๐๏ธ Views
38
โก Solves
30
๐พ Downloads
268
๐ฆ Fortran Code
5.2 KB
๐
Released
Jun 2026
โฑ๏ธ Latency
< 1 ms
๐ High-Speed Centrifugal Impeller & Diffuser Volute
Real-time visual simulation: Axial gas entry into eye, centrifugal acceleration, and radial diffuser discharge๐ Configuration & Presets
๐ฅ Pipeline Gas Booster
๐จ Air Separation Plant
โก Supercritical CO2 Loop
๐งช Syngas Recycle Booster
ASME PTC 10 & Schulz Polytropic Formulation:
โข Polytropic Exponent: (nโ1)/n = (kโ1) / (k ยท ฮทp)
โข Polytropic Head: Hp = Zavg ยท R ยท T1 ยท [n/(nโ1)] ยท [(P2/P1)(n-1)/n โ 1] [kJ/kg]
โข Tip Speed: U2 = ฯ ยท D2 ยท (N/60) [m/s] | Tip Mach: Mu2 = U2 / a1
โข Shaft Power: Pshaft = (แน ยท Hp) / (ฮทp ยท ฮทmech) [kW / MW].
โข Polytropic Exponent: (nโ1)/n = (kโ1) / (k ยท ฮทp)
โข Polytropic Head: Hp = Zavg ยท R ยท T1 ยท [n/(nโ1)] ยท [(P2/P1)(n-1)/n โ 1] [kJ/kg]
โข Tip Speed: U2 = ฯ ยท D2 ยท (N/60) [m/s] | Tip Mach: Mu2 = U2 / a1
โข Shaft Power: Pshaft = (แน ยท Hp) / (ฮทp ยท ฮทmech) [kW / MW].
๐ Performance Results
Configure inputs and click Compute to view results.
๐ Calculation Methodology & Centrifugal Compressor Standards
Polytropic Head (Schulz & ASME PTC 10)
Because gas density and compressibility change along the compression path, the polytropic exponent $n$ accounts for internal irreversible losses, giving exact aerodynamic head and shaft power predictions.
Tip Mach Number & Aerodynamic Limits
When the blade tip Mach number $M_{u2}$ approaches or exceeds unity ($>1.0$), shock waves at the diffuser inlet cause separation and narrowing of the stable operating range.
Key Engineering Assumptions
- API 617 & ASME PTC 10 compressor performance standard.
- Backward-curved impeller vanes ($\beta_{2b} \approx 45^\circ - 60^\circ$) for wide stable range.
- Widely used in natural gas pipeline boosters, ethylene plants, and refinery hydrogen compressors.