BIZOMAT MAKEOS · Engineering

Enclosure Cooling Airflow (Heat Load, Wall Losses, Fan Airflow Needed)

For an electrical or control enclosure with equipment giving off heat, how much heat escapes through the walls, and what fan airflow keeps the inside within its temperature limit?

Ventilation of a closed cabinet: the heat lost through the enclosure surface at the temperature difference from a wall heat transfer coefficient, the heat the fan must remove, the mass and volume of air per hour to carry it at the allowed temperature rise (as the heating energy tool, applied to the cooling air), and the fan airflow against the fan you have.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Heat given off insideWTotal heat given off by drives, power supplies and other equipment inside.
Highest outside air temperature°CHighest temperature of the air drawn in.
Highest allowed inside temperature°CHighest temperature the equipment inside may see.
Effective enclosure surface aream²Surface area of the enclosure that can lose heat (walls against other walls or the floor count less).
Wall heat transfer coefficientW/(m²·K)Heat transfer coefficient through the walls to still air (about 5.5 for painted steel).
Air densitykg/m³Density of the air at the inlet.
Air specific heatkJ/(kg·K)Specific heat of air.
Fan airflow (at its working pressure)m³/hAirflow of the fan at the pressure drop of its filters and grilles.

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: Heat given off inside
Illustration: Heat given off insideA motor driving a shaft; Heat given off inside is the rate at which it does work, energy per second.PExample: 500 WHeat given off inside
What it is
The total heat released inside the enclosure by drives, power supplies, transformers and other equipment.
Units and format
Enter a number in W: watts. The form accepts 0 W to 10000000 W. Required: the tool does not calculate until every input is valid.
Example
The form opens with 500 W as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Airflow needed rises with the heat left after wall losses.
Get it right
Add the losses from each maker’s data sheet, not the rated power the equipment controls.
What this means: Highest outside air temperature
Illustration: Highest outside air temperatureA thermometer whose level rises with Highest outside air temperature; the level follows the value you type.T_aExample: 35 °CHighest outside air temperature
What it is
The highest temperature of the air around the enclosure that the fan draws in.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -50 °C to 80 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 35 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the hottest air near the enclosure, including sun or nearby machines, not the average room temperature.
What this means: Highest allowed inside temperature
Illustration: Highest allowed inside temperatureA thermometer whose level rises with Highest allowed inside temperature; the level follows the value you type.T_iExample: 45 °CHighest allowed inside temperature
What it is
The highest air temperature allowed inside the enclosure for the equipment to run reliably.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -40 °C to 100 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 45 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger difference between inside and outside cuts the airflow needed.
Get it right
Take it from the most temperature-sensitive device’s data sheet; it must be above the outside air.
What this means: Effective enclosure surface area
Illustration: Effective enclosure surface areaA shaded shape whose enclosed surface is the area Effective enclosure surface area.AenclosedsurfaceExample: 2 m²Effective enclosure surface area
What it is
The enclosure surface that can lose heat to the surrounding air, counting walls against other walls or the floor as less effective.
Units and format
Enter a number in m²: square metres. The form accepts 0 m² to 10000 m². Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 m² as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More effective area removes more heat through the walls.
Get it right
Follow the enclosure maker’s rules for counting surfaces against walls or other enclosures.
What this means: Wall heat transfer coefficient
Illustration: Wall heat transfer coefficientHeat flowing from a hot side to a cold side through a wall or into a material; Wall heat transfer coefficient sets how much heat moves or is stored.hotcoldkExample: 5.5 W/(m²·K)Wall heat transfer coefficient
What it is
The heat transfer coefficient through the enclosure walls to still air: watts per square metre per kelvin of temperature difference.
Units and format
Enter a number in W/(m²·K): watts per square metre per kelvin. The form accepts 0 W/(m²·K) to 100 W/(m²·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 5.5 W/(m²·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Wall heat loss rises in direct proportion.
Get it right
Take it from the enclosure maker for the material and finish.
What this means: Air density
Illustration: Air densityA cube of material: density Air density is its mass divided by the volume it fills.massvolumeρExample: 1.16 kg/m³Air density
What it is
The density of the air entering the enclosure, used to turn the mass of air needed into a volume flow.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 2 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.16 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the density at the inlet temperature and site altitude from air property tables.
What this means: Air specific heat
Illustration: Air specific heatHeat flowing from a hot side to a cold side through a wall or into a material; Air specific heat sets how much heat moves or is stored.hotcoldc_pExample: 1.005 kJ/(kg·K)Air specific heat
What it is
The specific heat of air: the energy needed to warm one kilogram by one kelvin.
Units and format
Enter a number in kJ/(kg·K): kilojoules per kilogram per kelvin. The form accepts 0.000001 kJ/(kg·K) to 5 kJ/(kg·K). Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.005 kJ/(kg·K) as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter kJ/(kg·K), not J/(kg·K).
What this means: Fan airflow (at its working pressure)
Illustration: Fan airflow (at its working pressure)A pipe with liquid or gas moving through it; Fan airflow (at its working pressure) is the volume that passes per unit of time.QExample: 150 m³/hFan airflow (at its working pressure)
What it is
The airflow the fan actually moves at the pressure drop of its filters and grilles, compared with the airflow needed.
Units and format
Enter a number in m³/h: cubic metres per hour. The form accepts 0 m³/h to 10000000 m³/h. Required: the tool does not calculate until every input is valid.
Example
The form opens with 150 m³/h as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Read it from the fan curve with filters fitted, not the free-blowing catalogue figure.

Method and formulas

  1. Wall loss = k A (T_inside − T_outside); fan heat = heat load − wall loss.
  2. Air mass per hour to carry the fan heat with a rise of T_inside − T_outside: m = Q ÷ (c_p ΔT) (as the heating energy tool, Q = m c ΔT).
  3. Airflow = mass ÷ density.
  4. Example: the walls lose 110 W; the fan must move 120.43 m³/h.

Limitations

  • Air drawn in at the outside temperature and leaving at the inside limit; poor air paths leave hot spots.
  • Solar gain on outdoor cabinets is not included.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a filter fan for a control cabinet
  • Check whether a panel needs a fan at all
  • See the effect of a hotter plant room

Who it is for

  • Electrical engineers
  • Panel builders
  • Maintenance engineers

What you get

  • Heat lost through the walls
  • Heat for the fan to remove
  • Airflow needed against the fan

Interpreting the result

  • When the inside limit is close to the outside temperature, the airflow needed rises steeply; an air conditioner may then be the better answer.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 371–374, 2683. 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 Enclosure Cooling Airflow (Heat Load, Wall Losses, Fan Airflow Needed) calculator