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That worked the other way, the atmospheric engine worked by condensing water vapour. This would work by evaporating water to make water vapour.
I'm not sure whether a scheme like that constitutes a heat engine or not. It probably does, but it's a bit less obvious.
On the contrary, it's not formally a heat engine, a heat engine has a hot source and a cold sink, and these are missing.
Maybe I'm missing something ... ?It has a hot reservoir - the sun's heat (no need for combustion)It has a cold reservoir - the cooler sprayed water (BTW is this open or closed loop?)Heat moves from the Hot to the Cold doing work as it goes (hopefully).Sounds like a Carnot heat engine to me.
I noticed that water is concentrated by the weather, but it's constantly trying to evaporate again (except on very humid days).I wondered if it's possible to use evaporation to generate energy; when I spray water (if it's not too humid) it cools the air down, and cool air contracts, so I think you could use the cooling to pull on a piston and make energy to power your house (or theoretically make a water powered car!)Would this really work?
Depends where you draw the system box exactly, but you've failed to draw it correctly to make a heat engine; since the water is being used up. A heat engine is a closed cycle that you can go around as many times as you like that generates work from the difference between the hot and cold reservoirs. But if there's something being used up in the cycle then it's not a heat engine.