Elecmetric

Rack Heat Load and Airflow Calculator

Convert IT power to heat load, cooling tons and the airflow needed for a given air temperature rise. With the formula, a worked example and typical values.

IT power in the rack 10 kW, air temperature rise across the rack (K) 12 gives
Heat load: 34,121 · Cooling: 2.84 · Airflow required: 2,488 m³/h

Estimate only. Not engineering or safety advice. Check the result against the applicable standard and the equipment data, and have a competent engineer review it before it is relied on. Terms of use.

Open in the calculator with these values

About this calculator

This page calculates heat load, cooling and airflow required from IT power in the rack and air temperature rise across the rack. Change any value or its unit and the result updates. The steps below show the working for the default values, so you can check each line against your own method.

Limits of this calculator

Real designs add margin for hot-spot mixing. Switch the airflow unit to CFM for US cooling data.

Cross-check: 8 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review.

Verification status: Indicative

Indicative. Estimation only; further engineering checks are required. Basis: Heat-load and airflow estimate.

What this calculator checks

What remains unverified

Verification register entry

Calculation authorRahul Sharma (author)
Technical reviewNo independent technical review has been carried out
Individual professional approvalNot recorded
Formula referencenot recorded
Standard and editionNot applicable: Heat load and airflow relationships are basic thermal calculations. Facility cooling design depends on equipment data and project thermal criteria; no single standard governs this calculator’s simplified equation.
Standard review stateNot applicable
Scope-screening notenot recorded
Cross-check test cases8 reference vectors (tests/reference_vectors.json)
Review datenot recorded
Next review datenot recorded
StatusIndicative

Needed before this calculator can be marked Verified: reviewer name, qualification and review date; exact formula reference; formula source (textbook or standard); next review date.

Formula

Heat = P (all power becomes heat) BTU/h = 3.41214 × W ton = 12 000 BTU/h V̇ = P / (ρ × cp × ΔT)

Worked example

InputValue
IT power in the rack10 kW
Air temperature rise across the rack (K)12
  1. Heat = 10 kW × 3412.14 = 34,121 BTU/h
  2. Tons = 34,121 / 12 000 = 2.84
  3. V̇ = 10,000 / (1.2 × 1005 × 12) = 0.691 m³/s = 2,488 m³/h

Assumptions

Real designs add margin for hot-spot mixing. Switch the airflow unit to CFM for US cooling data.

Inputs and results

InputUnitAllowed or shownNote
IT power in the rackkWgreater than 0 kW
Air temperature rise across the rack (K)(number)greater than 0
ResultUnitAllowed or shownNote
Heat load (BTU/h)(number)Shown to 0 decimal places
Cooling (US refrigeration tons)(number)Shown to 2 decimal places
Airflow requiredm³/hShown to 0 decimal places

How it is calculated

Each input is converted to the base unit of its quantity, the formula above is applied in the order shown in the worked example, and each result is shown in the unit you choose. Results are held at full precision and rounded only for display, except where a step selects a standard size, as the worked example shows. A value outside its allowed range is refused with a message instead of giving a result.

How the result changes with it power in the rack

IT power in the rack (kW)Heat loadCoolingAirflow required (m³/h)
13,4120.28249
2.58,5300.71622
517,0611.421,244
1034,1212.842,488
2068,2435.694,975
40136,48611.379,950
100341,21428.4324,876

Other inputs are the same as in the worked example above.

Standards and further reading

Lamp and luminaire data come from the manufacturer; the illuminance targets that apply come from your project specification and local regulation. These are named as background reading. Elecmetric does not embed clause text or rating tables, and the reviewer record for this calculator is separate from this list.

Frequently asked questions

What do I need to enter?

Enter iT power in the rack and air temperature rise across the rack (K). Change the unit of a value with its selector and the result stays the same.

What does this calculator assume?

Air density 1.2 kg/m³, specific heat 1005 J/(kg·K). All electrical power ends up as heat in the room. No allowance for bypass or recirculation.

Which calculators should I use next?

Common next steps are Data Centre PUE and UPS Battery Runtime. The related links at the bottom of this page open them.

How accurate are the results?

Every figure comes from the same tested engine as the Elecmetric calculators and is meant for estimating. 8 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review. Check design values against the standard and the equipment data you work to.

Formula guides and reference

Longer explanations with worked examples and tables, written for the same topic.

More Lighting and Facilities calculatorsAll engineering calculatorsRack Heat Load and Airflow in Elecmetric

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