Question

Water at 50F enters a heat-exchanger tube having an inside diameter of 1 in. and a...

Water at 50F enters a heat-exchanger tube having an inside diameter of 1 in. and a length of 10 ft.
The water flows at 20 gal/min. For a constant wall temperature of 210F, estimate the exit
temperature of the water. Theproperties of water may be evaluated at the arithmetic-mean bulk temperature.

The book solution uses the initial mean bulk temperature of 90 degF. How did they come up with 90 degF for the initial mean bulk temperature?

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Answer #1

When water enters the tube (at the entrance of tube) near wall the average temperature of water can be taken as (210+50)/2=130 degF because heat transfer takes place from wall maintained at constant temperature of 210 degF to water which increases the temperature of water from 50 degF near walls. Thus, can be taken as average of the two.

Therefore, mean bulk temperature initially (at the entrance of pipe) is then sum of temperatures of water at wall & at center that is (130+50)/2= 90 degF..

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