"/This isn't the case, Tom. It does not matter if the thing you are cooling
has a solid or a liquid inside it. The heat transfer to air is set by its
surface area and the amount of air moved over it./"

Yes, that is why I said: 
/Sure the heat is going into the surrounding air, but a liquid-air heat
exchanger permits much higher heat transfer than a finned heat sink, so it
depends on the rate of heat removal required to maintain a desired
temperature difference from ambient./

A liquid-air heat exchanger is designed to have very large surface to volume
ratio and thin thermally conductive walls, increasing heat transfer from the
liquid through the metal to air.  I've been using them for almost 30 years. 
We use air cooling, fans blowing directly on the object to be cooled, when
the heat load is lower, and liquid circulated to heat exchangers when the
heat load is higher.



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