Convection in a static fluid can only take place if there are density changes (buoyancy forces) arising from the cooling/heating process. If there is no fluid movement there is -by definition- no convection. But conduction is indeed possible.
If the biggest resistance to heat flow is on the non-moving silicone, the overall coefficient of heat transfer would per force be smaller than the HT coefficient in the silicone itself.
The cooling of the pipe and its contents is time-dependent, namely it is an unsteady state process. Thus the heat loss to the surroundings will change with time, as the [Δ]T becomes smaller. So would the combined "convection + radiation" external coefficient.
A simplified formula for natural (free) convection in air as given by Holman:
hc = 1.32([Δ]T/d)0.25
Where:
h
cis in W/(m
2.K)
d, the diameter of the pipe, in m
[Δ]T, in [up]o[/sup]C
This doesn't include yet a radiation coefficient that depends on the emissivities of pipe and surroundings as well as on their temperatures.
To estimate the temperature of a solid cylinder or rod upon time, given the starting temperature and the outside surface temperature taken as constant, one can use the Gurney-Lurie graphs published in the IEC issue
15, 1170-1172 (1923).