A 12-m-long and 5-m-high wall is constructed of two layers of 1-cm-thick sheetrock (k = 0.17 W/m·K) spaced 16 cm by wood studs (k = 0.11 W/m·K) whose cross section is 16 cm * 5 cm. The studs are placed vertically 60 cm apart, and the space between them is filled with fiberglass insulation (k = 0.034 W/m·K). The house is maintained at 20°C and the ambient temperature outside is 29°C. Taking the heat transfer coefficients at the inner and outer surfaces of the house to be 8.3 and 34 W/m2·K, respectively, determine (a) the thermal resistance of the wall considering a representative section of it and (b) the rate of heat transfer through the wall.
A 12-m-long and 5-m-high wall is constructed of two layers of 1-cm-thick sheetrock (k = 0.17 W/m·K) spaced 16 cm by wood studs (k = 0.11 W/m·K) whose cross section is 16 cm * 5 cm. The studs are placed vertically 60 cm apart, and the space between them is filled with fiberglass insulation (k = 0.034 W/m·K). The house is maintained at 20°C and the ambient temperature outside is 29°C. Taking the heat transfer coefficients at the inner and outer surfaces of the house to be 8.3 and 34 W/m2·K, respectively, determine (a) the thermal resistance of the wall considering a representative section of it and (b) the rate of heat transfer through the wall.
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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A 12-m-long and 5-m-high wall is constructed of
two layers of 1-cm-thick sheetrock (k = 0.17 W/m·K) spaced
16 cm by wood studs (k = 0.11 W/m·K) whose cross section
is 16 cm * 5 cm. The studs are placed vertically 60 cm
apart, and the space between them is filled with fiberglass
insulation (k = 0.034 W/m·K). The house is maintained at
20°C and the ambient temperature outside is 29°C. Taking
the heat transfer coefficients at the inner and outer surfaces
of the house to be 8.3 and 34 W/m2·K, respectively, determine
(a) the thermal resistance of the wall considering a
representative section of it and (b) the rate of heat transfer
through the wall.
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