🔄 Centrifugal Pump Impeller & Slip Factor
Size centrifugal pump impellers: Wiesner & Stodola slip factor, Euler head, metric specific speed Ns, backward-curved vanes, and shaft power demand.
⚡ Fortran 90 Engine
Double Precision (IEEE 754)
✓ ISO / ASME Validated
📊 Solver Telemetry
● ACTIVE
👁️ Consultations
16
⚡ Calculs faits
14
💾 Téléchargements
367
📦 Code Fortran
5.2 KB
📅 Mise en service
Jun 2026
⏱️ Latence
< 1 ms
🔄 Centrifugal Pump Impeller & Backward-Curved Vanes
Real-time visual kinematics: Eye suction, backward curved vanes, relative slip flow, and discharge📝 Configuration & Presets
Wiesner & Euler Pump Formulation:
• Wiesner Slip Factor: σ = 1 − √(sin β2b) / Z0.70
• Real Euler Head: He = (U2 · [σ · U2 − Vr2 · cot β2b]) / g
• Actual Delivered Head: H = ηh · He [m]
• Metric Specific Speed: Ns = N · √Qm³/s / H0.75.
• Wiesner Slip Factor: σ = 1 − √(sin β2b) / Z0.70
• Real Euler Head: He = (U2 · [σ · U2 − Vr2 · cot β2b]) / g
• Actual Delivered Head: H = ηh · He [m]
• Metric Specific Speed: Ns = N · √Qm³/s / H0.75.
📊 Performance Results
Configure inputs and click Compute to view results.
📘 Calculation Methodology & Pump Impeller Standards
Slip Factor Phenomenon (Wiesner & Stodola)
Because the number of vanes is finite, relative eddy circulation within the blade passages causes fluid to leave at an angle flatter than the physical blade angle $\beta_{2b}$, reducing the actual Euler head.
Specific Speed & Impeller Topology
Specific speed $N_s$ determines the optimal impeller geometry: radial impellers for high head and low flow, mixed-flow for intermediate duties, and axial propellers for high flow low head.
Key Engineering Assumptions
- Wiesner empirical slip formulation $\sigma = 1 - \sqrt{\sin \beta_{2b}}/Z^{0.7}$.
- ISO 9906 hydraulic acceptance grade modeling.
- Widely used in water utilities, boiler feed pumps, and chemical processing.