Free Engineering Tool — #146
Compressed Air Leak Cost Calculator
Estimate the flow rate and annual cost of compressed air leaks based on hole diameter, system pressure, and energy cost.
Q = C × A × P
Annual Cost
Energy Audit
Results
Annual Leak Cost
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Leak Flow Rate (FAD)
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Power Wasted
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Annual Energy Wasted
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Leak Flow Rate (Choked Flow)
At pressures above ~1.9 bar(g) the flow through a leak orifice is sonic (choked). The simplified formula:
- C — discharge coefficient (~0.65 for sharp-edged orifice)
- A — hole area = π/4 × d²
- Pabs — absolute pressure (gauge + 1.013 bar)
Annual Cost
Leak Cost by Hole Size (7 bar, €0.15/kWh, 6000 h/yr)
| Hole ∅ | Flow (L/s) | kW | €/year |
|---|---|---|---|
| 1 mm | ~1.0 | 0.15 | ~135 |
| 3 mm | ~9.1 | 1.36 | ~1,224 |
| 5 mm | ~25.2 | 3.78 | ~3,402 |
| 10 mm | ~100.8 | 15.12 | ~13,608 |
⚠️ Note: Real leaks have irregular geometry; actual flow may differ from orifice model by ±30%. Use these values as estimates for energy audits.
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