its no different than our std fiberglass insulation. the thermal resistance goes up as the insulation gets thicker.
Sure, I agree, I am just pointing out that as the insulation gets thicker, the outer surface area of the insulation gets larger, so the the insulation can shed heat to the air more quickly. Depending on the relative magnitudes of the conductive heat flow through insulation versus the radiant/convective heat loss from the outer surface of the insulation, it could be that thicker insulation sheds heat better overall.
For an example with made up numbers, suppose the heat loss flux on the outer surface of the insulation is proportional to the temperature difference (not true for radiant heat loss, I don't know about convection). Suppose a wire 100 mils in diameter has insulation with a thermal conductivity of 200 BTUs-mil/in^2/sec/degree, the surface heat loss is 1 BTU/in^2/sec/degree, and the wire is generating 10 BTUs/in^2/sec at its outer surface.
If the insulation is 10 mils thick, then its thermal conductivity is 20 BTUs/in^2/sec/degree, so to move 10 BTUs/in^2/sec through it requires a temperature difference of only 0.5 degrees. The outer diameter of the insulation is 120 mils, versus 100 mils for the wire, so the surface area of the insulation is 1.2 times as great. So we need to dissipate 10/1.2 = 8.3 BTUs/in^2/sec from the surface of the insulation, requiring a temperature difference of 8.3 degrees. Thus the inner surface of the insulation is 8.8 degrees warmer than ambient.
If instead the insulation is 50 mils thick, then its thermal conductivity is 4 BTUs/in^2/sec/degree, so to move 10 BTUs/in^2/sec through it requires a temperature difference of 2.5 degrees. The outer diameter of the insulation is 200 mils, versus 100 mils for the wire, so the surface area of the insulation is 2 times as great as the wire. So we need to dissipate 10/2 = 5 BTUs/in^2/sec from the surface of the insulation, requiring a temperature difference of 5 degrees. Thus the inner surface of the insulation is 7.5 degrees warmer than ambient.
In practice, I have no idea what the relative magnitudes involved are. I'm also unclear on whether I calculated the conductive heat flow through the cylindrical shell of the insulation properly, as at that step I didn't account for the increasing shell area with increasing diameter.
Cheers, Wayne