The fact that I ran my experiment with an open lid will distort the results a whole lot more than whether there is film inside the tank or not - and frankly I don't see any reason why surface area inside the tank should affect the temperature profile at all.Have you tried the experiment with a scrap film in the tank, because the surface area of the film can have an effect on the temperature drop, and if you're doing a dummy run all the factors should be the same.
Personally I don't think that putting an inversion tank in some uncontrolled water bath is such a good idea: the temperature drop in that water bath will be much worse than the temperature drop in the tank itself without the water bath.
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