JC stated:
"...and the heated walls are at a higher temperature. So, it must get hotter."
 
What makes you think that the walls of the vertical section (i.e., the 
'chimney') are at a higher
temperature than the walls of the horizontal section that has water at a much 
lower temperature
entering, and the liquid water has a MUCH larger specific heat than the vapor 
in the chimney?   The
majority of the heat from the exterior heater around the reactor section willl 
be flowing back
towards the cooler section where the cold water is entering... that is where 
the largest delta-T is.

-Mark

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