Is the symbol for heat transfer coefficent h, or a U? You use both and I can't find the difference between them.

h is the heat transfer coefficient between a bulk fluid at temperature Tbulk and a wall at Tsurface. It's used as a boundary condition in solving for temperature profiles.

U is the OVERALL heat transfer coefficient, and it represents the heat transfer between the bulk fluid on the inside of a unit, and the bulk fluid on the outside of the unit. So for a heat exchanger U describes the heat transfer between the bulk fluid on the shell-side and the bulk fluid on the tube-side.
 
 



 
 

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