Well I knew I'd be wrong.
How wrong am I?
You may be wrong on your interpretation of Mick, though it's hard to be sure.
Mick said
It got very hot inside as it conducted the heat inside better.
You quoted him as
You're claiming the black coating restricts the heat from escaping.It doesn't
However, on
You're claiming the black coating restricts the heat from escaping.It doesn't.
it's actually impossible to say if you're right or wrong with some more data, and assumptions. It depends on
(1) The thermal conductivity of the coating
(2) The thickness of the coating
(3) The convective heat transfer coefficient from the rim to the atmosphere (which depends on the shape of the rim, and its speed)
(4) The degree to which the emissivity of the rim is changed by coating it (likely it will go up)
(5) The temperature of the rim (radiative heat transfer depends on the fourth power of *absolute* temperature, whereas convective heat transfer depends on the temperature *difference* between the rim and the atmosphere)
At a guess, it will make little difference: Some figures
(1) Convective heat transfer
A 1mm coating of epoxy will have a heat transfer coefficient of 170W/m2K. (1mm thickness, 0.17W/mK conductivity).
A typical value for the heat transfer coefficient between the rim and the atmosphere in forced convection in air is ~200 W/m2K
I'd guess that 1mm is extremely generous, so at a first approximation, convective heat transfer dominates over conduction through the coating so the coating makes only a little difference to how much heat is conducted away - there will be a small drop.
(2) Radiative heat transfer
Let's say our rim is at 60C, or 333K (this is just about the point at which it is painful to touch)
Radiative heat transfer is 5.67 x 10 -8 watt per meter squared per kelvin to the fourth, which gives us about 700W/m2, assuming perfect emmissivity. The is the *maximum* possible improvement.
Comparing this to convection, with air at 20C, so 40C difference, convective losses are 200*40 = 8000W/m2
So convection clearly dominates over radiation, and there's not going to be a big change even if emissivity is hugely improved.
(1) decreases, (2) increases, neither by very much, so overall no meaningful change.
[caveat: just dashed this off, may well be an arithmetic error buried within]