Solve Problem 19.29 for the case of a wall heat flux varying according to
where α = 250 Btu/h ft2, β = 1500 Btu/h ft2, x is the distance from the entrance, and L is the tube length.
Problem 19.29
Water at 60°F enters a 1-in.-ID tube that is used to cool a nuclear reactor. The water flow rate is 30 gal/min. Determine the total heat transfer, the exiting water temperature, and the wall temperature at the exit of a 15-ft long tube if the tube wall condition is one of uniform heat flux of 500 Btu/hr ft2.
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