Articles / HVAC & Refrigeration

Heat Loads — Sizing a Cooler From First Principles

The core idea

A heat load is the rate at which heat enters a room — through walls, windows, people and equipment — measured in watts. A cooling unit must remove heat at that same rate to hold a steady indoor temperature. The envelope part is simple conduction:

Q = U · A · ΔT

where U (W/m²K) is how leaky the construction is, A the surface area (m²), and ΔT the indoor–outdoor temperature difference (K). A wall with U = 0.4, 12 m² of area and 8 K across it passes 0.4 × 12 × 8 ≈ 38 W — a single person often beats an entire wall.

The heavy hitter is solar gain through glass: roughly 300–400 W per m² of sunlit window at midday. Add people (≈90 W sensible each when seated), equipment (nameplate or metered watts), and ventilation air. For the air side: Q ≈ 0.33 × V̇(L/s) × ΔT — every litre per second of outdoor air at 10 K warmer than the room sneaks in about 3 W. Size the unit to the total, with a modest margin for latent (moisture) load.

Real-world example

A 30 m² top-floor living room on a 32 °C afternoon, held at 24 °C: 3 m² of west glazing in full sun contributes 350 × 3 = 1 050 W; the wall (U 0.4, 12 m² net) just 38 W and the roof (U 0.25, 30 m²) 60 W; two people 180 W; a TV, router and lights 150 W; ventilation of 60 m³/h ≈ 17 L/s about 44 W. Total sensible ≈ 1 520 W; with a ~15 % latent allowance, a 1.75 kW duty is the right size. The window alone is over half the load — which is why external shading beats a bigger compressor every time.

Common pitfall

Sizing by floor area rules of thumb ("100 W per m² → 3 kW for the room") instead of doing the load. The shortcut ignores the one thing that dominates: sunlit glazing. It oversizes shaded rooms — so the unit short-cycles, cools the air but never dehumidifies, and leaves the room cold and clammy — while undersizing the very room the rule was meant for. Count the watts, not the square metres.

Frequently Asked Questions

How do I calculate the heat load of a room?
Add conduction through the envelope (Q = U·A·ΔT), solar gain through sunlit glass (300–400 W/m²), occupants (≈90 W sensible each), equipment watts, and ventilation (≈0.33 W per L/s per K). Add ~15 % for latent load.
Why is sizing an air conditioner by floor area wrong?
Rules of thumb like 100 W/m² ignore the dominant variable: sunlit glazing. One sunlit window can beat an entire wall's conduction, so shaded rooms get oversized (short-cycling, clammy air) and sunny rooms undersized.
What size AC for a 30 m² room?
It depends on glazing and shading, not area: a top-floor 30 m² room with 3 m² of west-facing sunlit glass needs ≈1.75 kW, while a shaded north room of the same size may need half that. Do the load, don't guess.
How much heat does a person give off?
About 90 W of sensible heat when seated (plus latent heat from perspiration). Two people add roughly as much load as a moderately leaky wall.

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