Radiator size calculator

Work out the radiator output a room needs to stay warm on a cold day, from its size, how it is built and where you live.

Method and tables from the MCS Heat Pump Calculator.

Only the letters at the start are used, for the local design temperature.
Higher ground is colder. Maps such as Ordnance Survey's show it.
When was the home built?
Size of the room
Along the outside wall.
Into the room.
Which walls are outside walls?
Width × height of each window, added together.
0 if the room has no outside door.
Above the ceiling
Below the floor
Water in the radiatorsRadiators are sold by their output with the water 50°C warmer than the room (ΔT50).

Result

This room needs a radiator rated at about 622 watts at ΔT50 to stay at 21°C on a cold day in LS postcodes.

watts at ΔT50

Heat loss622 W
In BTU an hour2,124 BTU/h
Radiator rating at ΔT50622 W, 2,124 BTU/h
  • Air leaking in and out 391 W (63%)
  • Outside walls 100 W (16%)
  • Windows 132 W (21%)

Show the workings
StepSumAnswer
Temperature difference to design for21°C room − -2.5°C outside23.5 °C
Volume of the room4 m × 3.5 m × 2.4 m33.6 m³
Ventilation1.5 air changes an hour × 0.33 × 33.6 m³ × 23.5°C390.852 W
Outside wall, less windows and door4 m × 2.4 m − 2 m²7.6 m²
Outside walls7.6 m² × 0.56 W/m²K × 23.5°C100.016 W
Windows2 m² × 2.8 W/m²K × 23.5°C131.6 W
Heat the room loses on a design day391 + 100 + 132622.468 W
In BTU an hour622 W ÷ 0.2930711 W per BTU an hour2,123.949 BTU/h
Radiator rating needed at ΔT50622 W, as the water is about 50°C above the room622.468 W

What this leaves out or assumes

  • Walls to other heated rooms, and to neighbours, are taken to lose no heat. The MCS method allows for some loss through party walls and to unheated rooms, so a room with those needs a little more.
  • No extra is added for heating that goes off and on, an exposed site or a fireplace. An installer's full heat loss survey covers these.

Where the figures come from

How to choose a radiator from the answer

Radiators are sold by their heat output with the water 50°C warmer than the room, called ΔT50. Look for that figure in the radiator's details, in watts or BTU, and choose one at least as big as the answer above. Two smaller radiators that add up to it work as well as one big one.

Why cooler water needs a bigger radiator

A radiator gives out less heat when the water in it is cooler. With the water at a mean of 50°C in a 21°C room, a radiator gives about half its ΔT50 output, so it needs to be about twice the size. That is why heat pumps, which run cooler, often need some radiators changing. Choose the water temperature above to see the effect.

How the sum works

A room loses heat through each wall, window, door, floor and ceiling that faces outside or the ground: its area, times its U-value (how easily heat passes through it), times the temperature difference. It also loses heat to air leaking in and out: the number of air changes an hour, times 0.33 watts per cubic metre per degree, times the room's volume and the temperature difference.

The temperature difference is between the room and a cold day where you live: the outside design temperature for your postcode area, lower on higher ground. These are the figures MCS uses for heat pump installations. See all the figures.

What it does not cover

It works one room at a time and assumes the rooms around it are heated. It adds nothing for heating that goes off and on, an exposed hillside or an open fire. For a new boiler or heat pump, an installer's room-by-room heat loss survey is the way to size the whole system. This gives information, not advice.

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