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Conduction along length of copper water filled pipe
I am looking for assistance in doing some calculations to determine certain factors associated with an uninsulated water filled pipe. The pipe is 1" copper pipe. It starts off at ambient temperature. Say 60 degrees F. 3 feet away, along the length of the pipe is a tee connection which delivers 140 degree water to the piping system. Assume that 100% of the 140 degree water flows along the other run of the tee, away from the cold water leg, and that there is no flow through the cold water leg. The 3 ft pipe run is horizontal.
How do I calculate the rate of heat transfer to the cold water pipe?
What will the maximum temperature become at the piping along the cold water pipe, 3 ft from the tee?
How long will it take to reach this temperature?
Any assistance would be much appreciated