About this calculator
Radiator catalogues list each model's output at one fixed rating condition — today almost always 75/65/20 °C (flow 75 °C, return 65 °C, room 20 °C) from EN 442 (in Lithuania LST EN 442). Your system rarely runs at exactly those temperatures. A condensing boiler often runs at 55/45 °C, a heat pump lower still, and at those temperatures the same radiator gives far less heat.
This calculator takes the room's design heat load — for example from the room heat loss calculator — and your actual flow, return and room temperatures, and tells you which catalogue output to look for. It also gives the correction factor, the water flow each radiator needs and, for a sectional radiator, the number of sections.
Formula
EN 442-2 describes a radiator's output with its characteristic equation
Φ = K_m × ΔTⁿ, where ΔT is the logarithmic mean temperature
difference between the water and the room:
ΔT = (t₁ − t₂) / ln((t₁ − tᵣ) / (t₂ − tᵣ))
f = (ΔT / ΔT_catalogue)ⁿ
Φ_cat = Φ_design / f
m = Φ / (1.163 × (t₁ − t₂)) water flow, kg/h
t₁,t₂,tᵣ— flow, return and room temperature, °C.ΔT_catalogue— the same formula at the catalogue condition: 49.83 K at 75/65/20 °C (the "ΔT 50 K" of EN 442), 42.06 K at 70/55/20 °C and 59.44 K at 90/70/20 °C.n— the radiator exponent from its data sheet. The default 1.3 is the value Purmo's own correction table is prepared for; Purmo's panel radiators measure 1.28–1.36 depending on type and height.1.163 Wh/(kg·K)— the specific heat of water (4.187 kJ/(kg·K)).
The logarithmic mean is the one EN 442 uses. The simpler arithmetic mean
((t₁ + t₂)/2 − tᵣ) overstates the output when the return is cool, which is
exactly the case of low-temperature systems.
For a sectional radiator, the number of sections is the catalogue output divided by the output of one section at the same catalogue condition, rounded up.
Worked example
A room needs 1000 W. The system runs at 55/45 °C, the room is kept at
20 °C, and the catalogue gives outputs at 75/65/20 °C with n = 1.3:
ΔT = (55 − 45) / ln(35 / 25) = 10 / 0.3365 = 29.72 K
ΔT_catalogue = (75 − 65) / ln(55 / 45) = 10 / 0.2007 = 49.83 K
f = (29.72 / 49.83)^1.3 = 0.5107
Φ_cat = 1000 / 0.5107 = 1958 W
m = 1000 / (1.163 × 10) = 86 kg/h
Choose a radiator listed at about 1960 W in the 75/65/20 °C column. The
same radiator on a 70/55 °C system would need only 1247 W (factor 0.80).
These results match Purmo's published correction table for n = 1.3
(1,96 at 55/45/20, 1,25 at 70/55/20).
FAQ
Where do I get the room's heat load? From the heating design, or from the room heat loss calculator on this site. Do not size radiators from floor area alone — a well-insulated room and an old corner room of the same size can differ several times over.
My catalogue gives 90/70/20 °C outputs. What changes?
Choose 90/70/20 °C as the rating condition. A radiator gives about 20 % less
heat at 75/65/20 °C than at 90/70/20 °C (with n = 1.3), so outputs from
older catalogues look bigger than the same radiator in a modern one.
Why does a heat pump need such big radiators?
Because output falls faster than the temperature difference: with n = 1.3,
halving ΔT leaves only about 40 % of the output. At 45/35/20 °C a radiator
gives under a third of its catalogue output. The calculator warns when the
catalogue output must be more than twice the room's load.
Does the flow rate matter?
EN 442's characteristic equation holds at constant water flow. If the real
flow differs a lot from the one that gives your t₂, the return temperature
changes and so does the output. The water flow shown is what your chosen
t₁ − t₂ requires — balance the system to it.
Assumptions and limits
- The load is split evenly between identical radiators in the room.
- Output conversion uses the EN 442-2 characteristic equation with one
exponent
n. The real exponent depends on the model and slightly on the water flow; the default is a typical value, not your radiator's. - The rating conditions offered are 75/65/20, 70/55/20 and 90/70/20 °C.
- Not included: covers, niches, paint and furniture in front of the radiator, connection type (side/bottom/same-side), and the extra output a radiator may need to heat the room up after a setback. Manufacturers give their own correction factors for these.
- The "more than twice the load" warning is this calculator's own flag, not a limit from any standard.