After the installation of insulating boards is there any benefits to applying Radflek behind the rads?
I felt how hot the wall behind a radiator got.
It doesn't matter how hot the inside surface of the wall gets IF the wall is well insulated
In fact a hot inside surface probably indicates a better-insulated wall
Or it could indicate heat from the rad that could go into the room, just being wasted into the wall.
the insulation between rad and wall is very poor indeed, consisting of only an air gap.
Has to be a low emissivity air gap as well as the convenction issue.Ait gaps are actually some of the best insulators that we have - hence cavity walls and double glazing.
Sounds plausible, but my only comment is you can't use the radiator's rated output, as you have to use the output at delta T 40C for a 20C room, normally they quote the output at delta 50c. So your rated output at 60c would be 1120W.Note that's only 5% of the radiator's total rated output.
Indeed, but you forgot to complete the illustration.Modelling the air gap is difficult, but let's arbitrarily imagine that it has an equivalent conductance of 1.2 W/K. With the uninsulated wall also being 1.2 W/K, the total conductance from the radiator to the outside will be 0.6 W/K and the total heat flow will be 60 * 0.6 = 36 W. The temperature of the inner wall surface wll be 60 - (36/1.2) = 30 C - half way between the radiator and the outside temperature.
Now consider a more insulated wall, say U = 1 W/m^2K so over the area of the radiator its conductance will be 0.6 W/K. Now the total conductance from the radiator to the outside will be 1/ (1/1.2 + 1/0.6) = 0.4 W/K, and the total heat flow will be 60 * 0.4 = 24 W. (Less heat flow as expected now that it is better-insulated). The temperature of the inner wall surface will be 60 - (24/1.2) = 40 C - HOTTER than the uninsulated wall.
Now consider that more insulated wall with a rad foil on it, say U = 5 W/m^2K so over the area of the radiator its conductance will be 3 W/K. Now the total conductance from the radiator to the outside will be 1/ (1/1.2 + 1/0.6 + 1/3) = 0.35 W/K, and the total heat flow will be 60 * 0.35 = 21 W. (Less heat flow as expected now that it is better-insulated). The temperature of the inner wall surface will be 21/0.6 = 35.3 C - still hotter than the uninsulated wall, but COOLER than the insulated wall without rad foil. The Cooler in this case means less heat loss, wheras in your second example hotter meant less heat loss.
So in summary,
cooling the wall by insulating inboard = more efficient
cooling the wall by removing insulation outboard = less efficient
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