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
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Results

Annual Leak Cost
Leak Flow Rate (FAD)
Power Wasted
Annual Energy Wasted

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~1.00.15~135
3 mm~9.11.36~1,224
5 mm~25.23.78~3,402
10 mm~100.815.12~13,608

⚠️ 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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