Heat Loss Through a Wall
Calculate the rate of heat loss through a wall using the U-value, wall area and indoor/outdoor temperatures. Enter values in metric or imperial units and get results in watts, BTU/hr and kWh per day.
Estimate Heat Loss Through a Wall
Wall Heat Loss Formula
Where:
- \(Q\) — rate of heat loss through the wall (W)
- \(U\) — overall U-value (thermal transmittance) of the wall assembly, W/(m²·K)
- \(A\) — total wall area (m²)
- \(\Delta T = T_{in} - T_{out}\) — temperature difference between inside and outside (K or °C)
This is the steady-state form of Fourier's law of conduction applied to a building assembly: the heat flowing through a wall is proportional to its area, the temperature difference across it, and inversely proportional to its total thermal resistance (\(U = 1/R\)).
Wall Heat Loss – Calculation Example
Example: an insulated exterior wall with an area of 20 m² and an overall U-value of 0.35 W/(m²·K). The indoor design temperature is 21 °C and the outdoor design temperature is −5 °C.
\[ \Delta T = 21 - (-5) = 26\ \text{K} \]
\[ Q = 0.35 \times 20 \times 26 = 182\ \text{W} \]
\[ E_{day} = 182\ \text{W} \times 24\ \text{h} = 4368\ \text{Wh} \approx 4.37\ \text{kWh/day} \]
Result: the wall loses about 182 W (≈ 621 BTU/hr) of heat at design conditions, which adds up to roughly 4.37 kWh (≈ 14,900 BTU) of energy lost per day.
How to use the calculator
- Enter the Wall area (A) — the total length × height of the wall section — and select m² or ft² as the unit. Include window and door areas only if you are not calculating them separately.
- Enter the Overall U-value (U) of the complete wall assembly in W/(m²·K) or BTU/(hr·ft²·°F). If you only know the R-value, use \(U = 1/R\) (converting R to m²·K/W if it is given in imperial units).
- Enter the Indoor temperature (T in) — the design temperature you want to maintain inside, typically 20–22 °C (68–72 °F).
- Enter the Outdoor temperature (T out) — the coldest expected temperature for your location, also called the heating design temperature.
- Read the Rate of heat loss (Q) in watts, kW and BTU/hr, and the Heat lost per day in kWh, MJ and BTU.
What is wall heat loss?
Whenever the air inside a building is warmer than the air outside, heat flows through the walls from the warm side to the cold side. This conductive heat flow is the largest single component of a building's heating load in cold climates, alongside ventilation losses and losses through windows, the roof and the floor. The rate of that flow depends on just three things: how big the wall is, how well insulated it is, and how large the temperature difference across it is.
The U-value (thermal transmittance) is the standard measure of how easily heat passes through a complete wall assembly — brick or siding, insulation, plasterboard, and the thin films of air on both surfaces. A lower U-value means a better-insulated wall. Modern building codes in cold regions typically require walls around 0.15–0.35 W/(m²·K), while an uninsulated solid brick or concrete wall can easily be 1.0–2.0 W/(m²·K) and lose three to five times more heat through the same area.
The result \(Q\) tells you how much heating power (in watts or BTU/hr) is constantly escaping through that one wall at the given temperatures. The per-day figure converts this into energy, which you can multiply by your energy prices to estimate the running cost. If you enter an outdoor temperature higher than the indoor temperature, the calculator reports a net heat gain instead — useful for estimating cooling loads in hot climates.
Assumptions, limitations and practical tips
- Steady state: the formula assumes constant temperatures on both sides. In reality, outdoor temperature fluctuates, and walls store heat (thermal mass), so daily results are approximations — accurate enough for sizing and cost estimates, not for hour-by-hour simulation.
- Use the overall U-value of the assembly, not just the insulation layer. If you have layer-by-layer R-values, add all the thermal resistances together and take the reciprocal: \(U = 1 / \sum R\).
- Thermal bridging: studs, mortar joints and metal ties conduct more heat than the insulation between them. Published U-values for the whole assembly usually account for this; a U-value computed from insulation alone will underestimate the loss.
- Design temperatures: for heating-system sizing, use the outdoor temperature that is exceeded on all but the coldest ~1% of hours in your climate (check local design conditions), not the all-time record low.
- This is one surface only. To size a boiler or heat pump, repeat the calculation for every wall, window, roof and floor, and add an allowance for air infiltration. To check how much of the total could be covered by solar, you can then compare the load with our Solar Panel Size calculator.
- Air leakage matters: in leaky older buildings, drafts can account for a heat loss comparable to the walls themselves, and this calculator does not include them.
If the heating load you compute seems large, note that halving the U-value (doubling the insulation) halves the loss through that wall — insulation upgrades scale linearly, which is what makes them such an effective first step in energy retrofitting. When planning any added electric heating, make sure the circuit is protected correctly — our Circuit Breaker Size calculator can help you check the wiring side.
Frequently Asked Questions
How do I calculate the U-value of a wall from its individual layers?
Find the R-value (thermal resistance) of each layer — brick, insulation, plasterboard, plus inner and outer surface films (about 0.13 and 0.04 m²·K/W respectively) — and add them up. Then take the reciprocal: \(U = 1 / \sum R\). For example, layers totalling \(R = 4.0\ \text{m²·K/W}\) give \(U = 0.25\ \text{W/(m²·K)}\). If you use published R-values in imperial units (ft²·hr·°F/BTU), the result is an imperial U-value — convert it with 1 BTU/(hr·ft²·°F) = 5.678 W/(m²·K).
What is a good U-value for an exterior wall?
It depends on climate and building code. In most cold-climate countries, modern regulations require roughly 0.15–0.35 W/(m²·K). A well-insulated new timber-frame or Passive House wall can reach 0.10–0.15 W/(m²·K). Older walls without cavity insulation typically sit at 1.0–2.2 W/(m²·K), losing three to six times more heat per square metre. Anything below about 0.5 W/(m²·K) is generally considered reasonably well insulated.
How do I convert between R-value and U-value?
They are simple recipitals of each other: \(U = 1/R\) and \(R = 1/U\), but only within the same unit system. A metric R-value in m²·K/W gives U in W/(m²·K); an imperial R-value in ft²·hr·°F/BTU gives U in BTU/(hr·ft²·°F). To convert between systems: \(R_{imperial} \approx 5.678 \times R_{metric}\). So the often-quoted "R-20" (imperial) equals about RSI 3.5, or \(U \approx 0.28\ \text{W/(m²·K)}\).
Should I include windows and doors in the wall area?
Only if you are not calculating them separately. Windows have much higher U-values (typically 1.0–2.9 W/(m²·K) even for double or triple glazing), so mixing them into the wall area with the wall's U-value gives wrong results. Best practice: calculate the opaque wall area (total area minus openings) with the wall U-value, then calculate each window and door with its own U-value and add the losses together.
Why does my calculated heat loss differ from my actual heating bill?
The formula gives instantaneous loss at one design temperature. Real consumption depends on average outdoor temperatures over the season (measured in heating degree days), solar gains, internal gains from people and appliances, air leakage, and thermal mass delaying heat flow. To estimate seasonal energy, run the calculation with the average winter temperature difference instead of the design minimum, or multiply the design result by your local degree days. Treat the result as an approximation, not an exact forecast.
What are the most common mistakes when calculating wall heat loss?
The biggest is using the insulation's R-value alone — ignoring brick, plaster, air films and thermal bridging from studs and ties, which can raise the true U-value by 20–50%. Other frequent errors: mixing imperial R-values with the metric formula, using the record-low outdoor temperature instead of the design temperature, forgetting windows and doors have different U-values, and omitting infiltration losses entirely. Also remember a temperature difference of 1 °C equals 1 K — no conversion needed there.
Can I use this calculator for heat gain in summer or hot climates?
Yes. The physics is identical — heat simply flows from the warmer side to the cooler side. Enter an outdoor temperature higher than the indoor temperature and the calculator reports the net heat gain, which you can use to estimate the cooling load that wall contributes. Keep in mind that summer solar radiation hitting the wall adds extra heat that this formula does not include; for sun-exposed walls, use the sol-air temperature or add a solar correction separately.