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I think you are correct SC regarding heat capacity. We might say that large masses of air or water have enormous heat capacity relative to the heat a sheep can produce, so heat capacity is not relevant, but there must be localized effects as you suggest that are significant in the heat transport mechanisms.Does "wind chill" depend on the heat capacity of air? I suspect it does.BTW, I know at least some air cooled engines "cheated" to some extent because they relied heavily on the lubricating oil to remove heat. The oil circuit included an oil cooler. VW advised against the use of multigrade oil in their air cooled cars for a long time. I believe this was because "straight" mineral oil recovers its lubricating properties, even after reaching rather high temperatures, whereas the additives in multigrade oils break down at high temperatures, and the oil's properties are permanently altered. Because of this, I installed an oil temperature gauge in my first VW, but it didn't prevent it from dropping a valve which went on to wreck the entire engine! (I think that was really more to do with the fact that the engine was completely worn out - what do you expect for 35 quid?)
Wind chil?
Wet wool also has insulating properties → http://adventure.howstuffworks.com/wool-when-wet1.htm.