BIZOMAT MAKEOS · Pneumatics

Air Receiver Size

What receiver volume covers this demand above compressor supply for this time and pressure band?

Receiver volume needed to supply an air deficit (demand above compressor output) for a given time while the pressure falls between two limits, and the time a chosen receiver lasts.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Air demand above compressor supplym³/min free airDemand (as free air) that exceeds what the compressors can deliver during the event.
Duration of the deficitminHow long the deficit lasts.
Starting pressure (gauge)barReceiver pressure at the start of the event (compressor cut-out pressure).
Minimum allowed pressure (gauge)barLowest pressure at which users still work.
Receiver volume to check (0 = none)m³Volume of an existing or proposed receiver (m³; 1 m³ = 1000 L).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Air demand above compressor supply
Illustration: Air demand above compressor supplyA pipe with liquid or gas moving through it; Air demand above compressor supply is the volume that passes per unit of time.QExample: 2 m³/min free airAir demand above compressor supply
What it is
How much more air the users demand than the compressors can supply during the event, expressed as free air per minute.
Units and format
Enter a number in m³/min free air: m³/min free air. The form accepts 0.000001 m³/min free air to 100000 m³/min free air. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 m³/min free air as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Required receiver volume rises in direct proportion.
Get it right
Enter only the excess demand above compressor output, not the total demand.
What this means: Duration of the deficit
Illustration: Duration of the deficitA timeline from a start mark to an end mark; Duration of the deficit is the time between them.startendtExample: 1 minDuration of the deficit
What it is
How long the demand above compressor supply lasts, from the event start to when demand drops or a standby compressor takes over.
Units and format
Enter a number in min: minutes. The form accepts 0.000001 min to 100000 min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Required receiver volume rises in direct proportion.
Get it right
Enter minutes, not seconds.
What this means: Starting pressure (gauge)
Illustration: Starting pressure (gauge)A pressure gauge whose needle moves with Starting pressure (gauge); the needle follows the value you type.p₁Example: 8 barStarting pressure (gauge)
What it is
The receiver pressure when the deficit begins, usually the compressor cut-out or load pressure.
Units and format
Enter a number in bar: bar (1 bar = 100 kPa). The form accepts 0.000001 bar to 1000 bar. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8 bar as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A higher starting pressure widens the band and reduces the volume needed.
Get it right
Enter gauge pressure; it must be above the minimum allowed pressure.
What this means: Minimum allowed pressure (gauge)
Illustration: Minimum allowed pressure (gauge)A pressure gauge whose needle moves with Minimum allowed pressure (gauge); the needle follows the value you type.p₂Example: 6.5 barMinimum allowed pressure (gauge)
What it is
The lowest receiver pressure at which the air users still work correctly.
Units and format
Enter a number in bar: bar (1 bar = 100 kPa). The form accepts 0 bar to 1000 bar. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6.5 bar as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower minimum widens the band and reduces the volume needed.
Get it right
Allow for pressure drop between the receiver and the users.
What this means: Receiver volume to check (0 = none)
Illustration: Receiver volume to check (0 = none)A box drawn in three dimensions; the space it encloses is the volume Receiver volume to check (0 = none).VExample: 2 m³Receiver volume to check (0 = none)
What it is
The internal volume of an existing or proposed receiver, to check how long it covers the deficit.
Units and format
Enter a number in m³: cubic metres. The form accepts 0 m³ to 100000 m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger receiver covers the deficit for longer.
Get it right
0 means no check. Enter cubic metres: one thousand litres is one cubic metre.

Method and formulas

  1. V = t × Q_deficit × p_atm ÷ (p₁ − p₂) (isothermal, pressures in bar).
  2. Time covered = V (p₁ − p₂) ÷ (p_atm × Q_deficit).
  3. Example: a 2 m³/min deficit for 1 min with 8→6.5 bar needs 1.351 m³.

Limitations

  • Isothermal draw-down; a fast draw-down cools the air and gives slightly less.
  • Pipework volume adds a little storage not counted here.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a receiver for a peak demand
  • Reduce compressor cycling
  • Check how long a receiver covers a compressor trip

Who it is for

  • Maintenance engineers
  • Energy and utilities managers
  • Design engineers

What you get

  • Required receiver volume
  • Time an actual receiver can cover
  • Air stored in the pressure band

Interpreting the result

  • Receivers are pressure vessels and must comply with your pressure equipment regulations.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3032–3041. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

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Open the Air Receiver Size calculator