C, emissivity1 = 0.85 and T2 = 35 deg C, emissivity2 = 0.5, respectively. Assu n are diffuse-gray surfaces. Determine the heat loss by radiation through the gap per unit length of the c to the page). Recognizing that the gaps are located on a 1-m spacing, determine what fr loss through the composite wall is due to transfer by radiation through the Hot side Gap w = "m, 9.2% "m, 10.2%

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A composite wall is comprised of two large plates separated by sheets of refractory insulation. In the
installation process, the sheets of thickness L = 50 mm and thermal conductivity k = 0.05 W/mK are separated at
1-m intervals by gaps of width w = 10 mm. The hot and cold plates have temperatures and emissivities of T1 =
400 deg C, emissivity1 = 0.85 and T2 = 35 deg C, emissivity2 = 0.5, respectively. Assume that the plates and
insulation are diffuse-gray surfaces.
%3D
Determine the heat loss by radiation through the gap per unit length of the composite wall (normal
to the page).
Recognizing that the gaps are located on a 1-m spacing, determine what fraction of the total heat
loss through the composite wall is due to transfer by radiation through the insulation gap.
Hot side
Gap
w = 10 mm
A. 47 W/m, 9.2%
T1
= 400°C
B. 47 W/m, 10.2%
L = 50 mm
C. 37 W/m, 10.2%
D. 37 W/m, 9.2%
T2 = 35°C
Cold side
1 m
Insulation, k = 0.05 W/m-K
Transcribed Image Text:A composite wall is comprised of two large plates separated by sheets of refractory insulation. In the installation process, the sheets of thickness L = 50 mm and thermal conductivity k = 0.05 W/mK are separated at 1-m intervals by gaps of width w = 10 mm. The hot and cold plates have temperatures and emissivities of T1 = 400 deg C, emissivity1 = 0.85 and T2 = 35 deg C, emissivity2 = 0.5, respectively. Assume that the plates and insulation are diffuse-gray surfaces. %3D Determine the heat loss by radiation through the gap per unit length of the composite wall (normal to the page). Recognizing that the gaps are located on a 1-m spacing, determine what fraction of the total heat loss through the composite wall is due to transfer by radiation through the insulation gap. Hot side Gap w = 10 mm A. 47 W/m, 9.2% T1 = 400°C B. 47 W/m, 10.2% L = 50 mm C. 37 W/m, 10.2% D. 37 W/m, 9.2% T2 = 35°C Cold side 1 m Insulation, k = 0.05 W/m-K
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