The plumbing system of a house involves a 0.5-m section of a plastic pipe (k = 0.16 W/m-C) of inner diameter 2 cm and outer diameter 2.4 cm exposed to the ambient air (refer to figure 3). During a cold and windy night, the ambient air temperature remains at about -5°C for a period of 14 h. The combined convection and radiation heat transfer coefficient on the outer surface of the pipe is estimated to be about 40 W/m2-°C, and the heat of fusion of water is 333.7 kJ/kg. Assuming the pipe to contain stationary water initially at 0°C. (20 pts.) determine (a) if the water in that section of the pipe will completely freeze that night. (b) What is to be done to be sure that water doesn't freeze during the period of 14 h.
The plumbing system of a house involves a 0.5-m section of a plastic pipe (k = 0.16 W/m-C) of inner diameter 2 cm and outer diameter 2.4 cm exposed to the ambient air (refer to figure 3). During a cold and windy night, the ambient air temperature remains at about -5°C for a period of 14 h. The combined convection and radiation heat transfer coefficient on the outer surface of the pipe is estimated to be about 40 W/m2-°C, and the heat of fusion of water is 333.7 kJ/kg. Assuming the pipe to contain stationary water initially at 0°C. (20 pts.) determine (a) if the water in that section of the pipe will completely freeze that night. (b) What is to be done to be sure that water doesn't freeze during the period of 14 h.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The plumbing system of a house involves a 0.5-m section of a plastic pipe (k = 0.16 W/m-C) of inner
diameter 2 cm and outer diameter 2.4 cm exposed to the ambient air (refer to figure 3). During a cold
and windy night, the ambient air temperature remains at about -5°C for a period of 14 h. The combined convection and radiation heat transfer coefficient on the outer surface of the pipe is estimated to be about 40 W/m2-°C, and the heat of fusion of water is 333.7 kJ/kg. Assuming the pipe to contain stationary water initially at 0°C. (20 pts.) determine
(a) if the water in that section of the pipe will completely freeze that night.
(b) What is to be done to be sure that water doesn't freeze during the period of 14 h.
Transcribed Image Text:Exposed
water pipe
Tair =-5°C
2.4 cm
AIR
Water
SOIL
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