packo-
When you say "film" it sounds like the gap is .25mm (.01") or less and convection is reduced to only conduction. The only other way for heat to cross the gap is by radiation.
The conduction exchange will simple by Qc=-k*A*(T1-T2)/G where T1 is the absolute temperature of Surface 1 and T2 is the absolute temperature of Surface 2, G is the gap thickness, k is the thermal conductivity of the gas evaluated at temperature (T1+T2)/2, and A is the surface area. For the infrared band (heat with negligible visible light), surface absorptance is equal to the emittance for most materials. Assuming the areas facing each other are the same shape, the radiation exchange will be Qr=sigma*A(eps1*T1^4-eps2*T2^4) where sigma is the Stephan-Boltman constant, eps1 is the emittance of Surface 1, and eps2 is the emittance of Surface 2.
The total heat Q will be Q = Qr + Qc.
If the surfaces are touching each other then "the plot thickens"!
I hope this helps.
Tunalover