Hot water at 90°C enters a 15-m section of a cast iron pipe (k = 52 W/m?K) whose inner and outer diameters are 4 and 4.6 cm, respectively, at an average velocity of 1.2 m/s. The outer surface of the pipe, whose emissivity is 0.7, is exposed to the cold air at 10°C in a basement, with a convection heat transfer coefficient of l2 W/m2?K. Taking the walls of the basement to be at 10°C also, determine (a) the rate of heat loss from the water and (b) the temperature at which the water leaves the basement.

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.32P
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Hot water at 90°C enters a 15-m section of a cast
iron pipe (k = 52 W/m?K) whose inner and outer diameters
are 4 and 4.6 cm, respectively, at an average velocity of
1.2 m/s. The outer surface of the pipe, whose emissivity is
0.7, is exposed to the cold air at 10°C in a basement, with a
convection heat transfer coefficient of l2 W/m2?K. Taking the
walls of the basement to be at 10°C also, determine (a) the
rate of heat loss from the water and (b) the temperature at
which the water leaves the basement.

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