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Data centers raise nearby temperatures by up to 4 degrees in Phoenix
(techxplore.com)
This is a most excellent place for technology news and articles.
The issue is you are using 4 degrees as the delta of temp, when that is the ambient area temp change. The very localized heat being generated on site (and already nicely conveyed in heat management systems) is going to be a lot more then 4. Also why would you be always using a thermometric generator? They are not know to be efficient.
Good point about the local temperature delta.. I kind of lost sight of that in the discussion. But my understanding of that equation is it would be the maximum theoretical efficiency of any thermal generator as it represents an idealized heat engine.