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Pressure Measurement · Free Calculator

Air Receiver Sizing Calculator

Size a compressed air receiver for a demand event: the receiver must supply the shortfall between demand and compressor output while pressure falls from its upper to its lower limit.

Receiver volumeDrawdownFree air deliveryInstrument air backup
bar a
Assumes air cools to ambient (isothermal). Add margin and check the receiver against pressure vessel rules.
Required receiver volume7.599 m³ (7,599 L)
In US gallons2,008 gal
Air drawn from storage15 m³ free air
Pressure band used2 bar
How this result was calculated
  1. V = t × (C − S) × Pa ÷ (P₁ − P₂) = 5 × 3 × 1.0132 ÷ 2 = 7.599 m³
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Receiver Drawdown Formula

V = t × (C − S) × Pa ÷ (P₁ − P₂)

V is the receiver volume in m³, t the event duration in minutes, C the demand and S the compressor supply during the event in m³/min of free air, Pa the atmospheric pressure and P₁, P₂ the start and minimum pressures in bar (the gauge difference equals the absolute difference). This is the storage method used in compressed air system guides.

Worked example

To carry 3 m³/min of instrument air for 5 minutes with no compressor while pressure falls from 7 to 5 barg: V = 5 × 3 × 1.013 ÷ 2 = 7.6 m³.

Key insight: storage depends on the usable pressure band. Raising the start pressure or lowering the minimum allowed pressure shrinks the receiver much more than adding compressor capacity, which is why instrument air backup receivers run at higher pressure behind a regulator.
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Frequently Asked Questions

Why is free air delivery used?

Compressor capacity and demand are normally stated as free air at inlet conditions, which matches the atmospheric pressure in the formula.

Does temperature matter?

The formula assumes air in the receiver stays near ambient. Fast drawdown cools the air and gives slightly less usable air.

How big should an instrument air receiver be?

Large enough to keep instruments working long enough for a safe shutdown after a compressor trip. Company standards often set the hold up time.

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