Consider a large plane wall of thickness L = 0.8 ft and thermal conductivity K=1.2 Btu/h-ft-*F. The wall is covered with a material that has an emissivity of ε = 0.80 and a solar absorptivity of a = 0.60. The Inner surface of the wall is maintained at T₁ = 524 R at all times, while the outer surface is exposed to solar radiation that is incident at a rate of q'solar = 300 Btu/h-ft2. The outer surface is also losing heat by radiation to deep space at OK.

Consider a large plane wall of thickness L = 0.8 ft and thermal conductivity K=1.2 Btu/h-ft-*F. The wall is covered with a material that has an emissivity of ε = 0.80 and a solar absorptivity of a = 0.60. The Inner surface of the wall is maintained at T₁ = 524 R at all times, while the outer surface is exposed to solar radiation that is incident at a rate of q'solar = 300 Btu/h-ft2. The outer surface is also losing heat by radiation to deep space at OK.

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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Question

Consider a large plane wall of thickness L = 0.8 ft and thermal conductivity k = 1.2 Btu/h-ft-°F. The
wall is covered with a material that has an emissivity of ε = 0.80 and a solar absorptivity of a =
0.60. The Inner surface of the wall is maintained at T₁ = 524 R at all times, while the outer surface
is exposed to solar radiation that is incident at a rate of q solar = 300 Btu/h-ft2. The outer surface
is also losing heat by radiation to deep space at O K.
0
Plate
a solar
o = 0.1714 x 10-8 Btu/h ft2 R4
Sun
If the temperature of the outer surface of the wall is 556.39 R, determine the rate of heat transfer through the wall
when steady operating conditions are reached. (Round your answer up to 2 decimal places.)
51 Btu/h-ft2 (per
The rate of heat transfer through the wall when steady operating conditions are reached
unit area)

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