The roof of a house consists of a 0.70-ft-thick concrete slab (k = 3 W/m · °C) that is 18 m wide and 23 m long. The emissivity of the outer surface of the roof is 0.92, and the convection heat transfer coefficient on that surface is estimated to be 18 W/m2 · °C. The inner surface of the roof is maintained at 295 K. On a clear winter night, the ambient air is reported to be at 282.15 K while the night sky temperature for radiation heat transfer is 260 K. Considering both radiation and convection heat transfer, determine the outer surface temperature and the rate of heat transfer through the roof.
The roof of a house consists of a 0.70-ft-thick concrete slab (k = 3 W/m · °C) that is 18 m wide and 23 m long. The emissivity of the outer surface of the roof is 0.92, and the convection heat transfer coefficient on that surface is estimated to be 18 W/m2 · °C. The inner surface of the roof is maintained at 295 K. On a clear winter night, the ambient air is reported to be at 282.15 K while the night sky temperature for radiation heat transfer is 260 K. Considering both radiation and convection heat transfer, determine the outer surface temperature and the rate of heat transfer through the roof.
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 roof of a house consists of a 0.70-ft-thick concrete slab (k = 3 W/m · °C) that is 18 m
wide and 23 m long. The emissivity of the outer surface of the roof is 0.92, and the
convection heat transfer coefficient on that surface is estimated to be 18 W/m2
· °C. The
inner surface of the roof is maintained at 295 K. On a clear winter night, the ambient air is
reported to be at 282.15 K while the night sky temperature for radiation heat transfer is
260 K. Considering both radiation and convection heat transfer, determine the outer
surface temperature and the rate of heat transfer through the roof.
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