BIZOMAT MAKEOS · Pneumatics

Compressed-Air Leak Audit (Leak Flow, Power, Cost and Repair Payback)

How much air and money are these compressed-air leaks wasting, what share of the compressor do they use, and how quickly do repairs pay back?

Audit of compressed-air leaks grouped by equivalent hole size: choked flow through each hole as free air (as the air leak cost tool), the total leak flow, its share of compressor capacity, the compressor power and yearly energy cost from your specific power, and the payback of repairing the leaks at your repair cost per leak.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Leaks by size
Leaks of size 1Number of leaks in the smallest group.
Size 1 equivalent holemmEquivalent orifice diameter for that group (from an ultrasonic survey estimate).
Leaks of size 2Leaks in the middle group.
Size 2 equivalent holemmEquivalent orifice for the middle group.
Leaks of size 3Leaks in the largest group.
Size 3 equivalent holemmEquivalent orifice for the largest group.
System
Line pressurebarGauge pressure in the line at the leaks.
Discharge coefficientDischarge coefficient of a leak (about 0.6–0.65 for sharp holes).
Air temperature°CAir temperature in the line.
Compressor specific powerkW per m³/minCompressor input power per m³/min of free air delivered (from the compressor data sheet).
Compressor capacitym³/minAir delivered by the running compressors, as free air.
Pressurised hours per yearhHours per year the system stays pressurised (leaks run even when production stops).
Electricity price$/kWhPrice of electricity.
Repair cost per leak$Average cost to repair one leak.
Largest leakage share accepted%Leakage share of capacity you set as acceptable (well-run systems aim below 10%).

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.

Leaks by size

What this means: Leaks of size 1
Illustration: Leaks of size 1A row of identical items being counted; Leaks of size 1 is how many there are.nExample: 10Leaks of size 1
What it is
The number of leaks found in the smallest size group of the survey.
Units and format
Enter a plain number with no unit. The form accepts 0 to 100000. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Zero leaves this group out.
What this means: Size 1 equivalent hole
Illustration: Size 1 equivalent holeA circle with a line straight through its centre from edge to edge, marking the diameter Size 1 equivalent hole.Ømeasured acrossthe centreExample: 1 mmSize 1 equivalent hole
What it is
The diameter of a sharp-edged round hole that would leak as much as each leak in the smallest group, estimated from the survey.
Units and format
Enter a number in mm: millimetres. The form accepts 0.1 mm to 50 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Flow per leak rises with the square of this diameter, so size estimates matter.
What this means: Leaks of size 2
Illustration: Leaks of size 2A row of identical items being counted; Leaks of size 2 is how many there are.nExample: 4Leaks of size 2
What it is
The number of leaks found in the middle size group of the survey.
Units and format
Enter a plain number with no unit. The form accepts 0 to 100000. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Zero leaves this group out.
What this means: Size 2 equivalent hole
Illustration: Size 2 equivalent holeA circle with a line straight through its centre from edge to edge, marking the diameter Size 2 equivalent hole.Ømeasured acrossthe centreExample: 3 mmSize 2 equivalent hole
What it is
The equivalent sharp-edged hole diameter for each leak in the middle group, estimated from the survey.
Units and format
Enter a number in mm: millimetres. The form accepts 0.1 mm to 50 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Flow per leak rises with the square of this diameter.
What this means: Leaks of size 3
Illustration: Leaks of size 3A row of identical items being counted; Leaks of size 3 is how many there are.nExample: 1Leaks of size 3
What it is
The number of leaks found in the largest size group of the survey.
Units and format
Enter a plain number with no unit. The form accepts 0 to 100000. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Zero leaves this group out.
What this means: Size 3 equivalent hole
Illustration: Size 3 equivalent holeA circle with a line straight through its centre from edge to edge, marking the diameter Size 3 equivalent hole.Ømeasured acrossthe centreExample: 6 mmSize 3 equivalent hole
What it is
The equivalent sharp-edged hole diameter for each leak in the largest group, estimated from the survey.
Units and format
Enter a number in mm: millimetres. The form accepts 0.1 mm to 50 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Flow per leak rises with the square of this diameter.

System

What this means: Line pressure
Illustration: Line pressureA pressure gauge whose needle moves with Line pressure; the needle follows the value you type.pExample: 7 barLine pressure
What it is
The pressure in the air line at the leaks while the system is pressurised.
Units and format
Enter a number in bar: bar (1 bar = 100 kPa). The form accepts 0.000001 bar to 50 bar. Required: the tool does not calculate until every input is valid.
Example
The form opens with 7 bar as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Leak flow rises in proportion to the absolute line pressure.
Get it right
Gauge pressure; the tool adds atmospheric pressure itself.
What this means: Discharge coefficient
Illustration: Discharge coefficientTwo bars: a base value and the same value multiplied by Discharge coefficient, the factor.base valuewith factorCdExample: 0.65Discharge coefficient
What it is
The ratio of actual to ideal flow through a leak opening, allowing for the jet contracting as it leaves a sharp edge.
Units and format
Enter a plain number with no unit. The form accepts 0.3 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.65 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Leak flow, power and cost rise in direct proportion.
What this means: Air temperature
Illustration: Air temperatureA thermometer whose level rises with Air temperature; the level follows the value you type.TExample: 25 °CAir temperature
What it is
The temperature of the compressed air in the line at the leaks.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -20 °C to 80 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 25 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Compressor specific power
Illustration: Compressor specific powerA motor driving a shaft; Compressor specific power is the rate at which it does work, energy per second.PExample: 6.5 kW per m³/minCompressor specific power
What it is
The electrical input power the compressors draw for each cubic metre per minute of free air they deliver, from their data sheet or a system test.
Units and format
Enter a number in kW per m³/min: kW per m³/min. The form accepts 0.000001 kW per m³/min to 30 kW per m³/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6.5 kW per m³/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Wasted power and cost rise in direct proportion.
What this means: Compressor capacity
Illustration: Compressor capacityA pipe with liquid or gas moving through it; Compressor capacity is the volume that passes per unit of time.QExample: 50 m³/minCompressor capacity
What it is
The free air delivery of the compressors that are running, used to express leakage as a share of supply.
Units and format
Enter a number in m³/min: cubic metres per minute. The form accepts 0.000001 m³/min to 100000 m³/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 m³/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Pressurised hours per year
Illustration: Pressurised hours per yearA timeline from a start mark to an end mark; Pressurised hours per year is the time between them.startendtExample: 6000 hPressurised hours per year
What it is
The hours per year the network stays under pressure, including nights and weekends if it is not shut off.
Units and format
Enter a number in h: hours. The form accepts 0.000001 h to 8784 h. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6000 h as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Yearly energy and cost rise in direct proportion.
What this means: Electricity price
Illustration: Electricity priceA price tag on one unit of measure; Electricity price is the cost for each unit (per hour, per kilogram and so on).$cost foreach unitExample: $0.25/kWhElectricity price
What it is
The price you pay per kilowatt-hour of electricity, including network and demand charges where they apply.
Units and format
Enter a number in $/kWh: money per kilowatt-hour. The form accepts $0/kWh to $10/kWh. Required: the tool does not calculate until every input is valid.
Example
The form opens with $0.25/kWh as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Repair cost per leak
Illustration: Repair cost per leakA stack of coins and a note representing the money amount Repair cost per leak.$Example: $50Repair cost per leak
What it is
The average cost to find and fix one leak, including labour and parts.
Units and format
Enter a number in $: an amount of money; use one currency for every money input. The form accepts $0 to $100000. Required: the tool does not calculate until every input is valid.
Example
The form opens with $50 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Largest leakage share accepted
Illustration: Largest leakage share acceptedA bar of 100 parts with the share marked; Largest leakage share accepted is that share out of 100. The bar follows the value you type.0 %100 %Example: 10%Largest leakage share accepted
What it is
The leakage, as a share of compressor capacity, that you set as acceptable for this system.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Method and formulas

  1. Choked flow per hole ṁ = C_d A p₀ √(k ÷ R T₀) [2 ÷ (k + 1)]^((k+1)/(2(k−1))), as free air at 1.204 kg/m³ (as the air leak cost tool).
  2. Power = free-air flow (m³/min) × specific power; cost = power × hours × price.
  3. Repair payback = leaks × repair cost ÷ yearly cost.
  4. Example: the leaks waste 65.211 L/s (7.8254% of capacity), 25.432 kW and 38,149 a year; repairs pay back in 7.1759 days.

Limitations

  • Equivalent-hole estimates from surveys are rough; a drawdown or no-load test measures total leakage directly.
  • Assumes the compressors unload efficiently; poor control makes leaks cost more.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Turn a leak survey into a cost and a repair budget
  • Show management what leaks cost
  • Check leakage against a target share of capacity

Who it is for

  • Maintenance engineers
  • Energy managers
  • Plant engineers

What you get

  • Leak flow by group and in total
  • Share of compressor capacity, power and yearly cost
  • Repair cost and payback

Interpreting the result

  • A few large leaks usually waste more than many small ones: fix the largest first.

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.

Learning pathway

Find what compressed-air leaks cost

Learn how pressure setting and leaks waste compressor energy, then audit the leaks in your own system.

  1. 1 Learn

    Read Set the pressure and stop the waste in Compressed Air Plant by the Numbers.

    Price each 100 kPa of CA-1's pressure, see how leaks and open blow-offs grow with it, find the pressure lost before the air leaves the room, and fix a low-pressure complaint at its cause.

  2. 2 Apply

    Open Compressed-Air Leak Audit (Leak Flow, Power, Cost and Repair Payback) and enter your own figures.

    How much air and money are these compressed-air leaks wasting, what share of the compressor do they use, and how quickly do repairs pay back?

  3. 3 Verify

    Read the tool’s feasibility and verification checks under the result, and test your answer against its stated limitations:

    • Equivalent-hole estimates from surveys are rough; a drawdown or no-load test measures total leakage directly.
    • Assumes the compressors unload efficiently; poor control makes leaks cost more.
    • Example values are illustrations. Replace them with values for your actual task.
  4. 4 Improve

    Download the decision report or copy the link with your inputs to keep a record, then change one assumption at a time and compare.

    Next reading: Assess the system, then choose equipment in Compressed Air Plant by the Numbers.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Compressed-Air Leak Audit (Leak Flow, Power, Cost and Repair Payback) calculator