The heat loss formula
Heat loss is the rate at which a heated space sheds heat to colder surroundings, and it has two parts: heat conducted out through the fabric, and heat carried out by air leaving and being replaced. The equation for heat loss adds them together.
Q_fabric = Σ (U × A × ΔT) · Q_vent = 0.33 × ACH × volume(m³) × ΔT · Q_total = Q_fabric + Q_vent
The fabric part is the heat loss formula applied to each surface: its U-value times its area times ΔT, the temperature difference between inside and outside. The rate of heat loss formula for the whole element is just the sum over every wall, the roof, the floor, the windows and the doors. The ventilation part uses 0.33 Wh per m³ per kelvin — the heat capacity of air — times the air changes per hour, the room volume in cubic metres, and ΔT. The answer is in watts; multiply by 3.412 for BTU/h, or divide watts by 1000 for kilowatts.
Setting ΔT
ΔT is the indoor design temperature minus the outdoor design temperature. Indoors, a living space is usually taken at 21 °C (70 °F), a bathroom warmer and a bedroom cooler. The outdoor figure is the cold design temperature your heating has to cope with, not the average — around −2 to −3 °C across much of the UK, lower in colder regions and many parts of North America. A surface against an unheated room or a neighbour uses that space’s temperature instead of the outdoor one, which lowers its ΔT.
Heat loss and heat gain
The same U·A·ΔT relationship describes heat flow in either direction, so the heat gain and heat loss formula is identical in form — only the sign of ΔT changes. In summer, when it is hotter outside than in, the fabric gains heat at U·A·ΔT; the difference is that cooling loads also include solar gain through glazing and internal gains from people and appliances, which a pure fabric calculation does not capture. This tool is built for the heating case, where fabric and ventilation losses dominate.
Sizing a heat pump, radiators or a boiler
The design heat loss in watts is exactly what a heat source has to replace on the coldest design day, which is why a room-by-room heat loss calculation underpins heat-pump and MCS sizing in the UK: size the heat pump or boiler to the whole-house total, and each radiator or underfloor circuit to its own room’s loss. Over-sizing a heat pump hurts efficiency and short-cycles it, so an honest calculation — not a padded one — gives the best result. The room-by-room mode totals individual rooms for this.
Worked example
A room at 21 °C with a −2 °C design outdoor temperature has ΔT = 23 K. Say it has 40 m² of wall at U 0.30 and 6 m² of window at U 1.4. Fabric loss is 0.30 × 40 × 23 = 276 W plus 1.4 × 6 × 23 = 193 W, so 469 W of fabric loss. With a 50 m³ volume at 1 air change per hour, ventilation adds 0.33 × 1 × 50 × 23 = 380 W. The total is about 849 W, which is roughly 2,900 BTU/h or 0.85 kW. Load this with the example link in the tool.
Typical U-values for reference
Edit the prefilled U-values to your real figures; these typical values just give a starting point.
| Element (typical) | U-value (W/m²·K) | U (BTU/h·ft²·°F) |
|---|
There is also a small standing loss from hot pipework outside heated rooms (uninsulated pipe runs in a loft or under a floor), usually minor next to fabric and ventilation losses but worth insulating regardless.