A 10-in-thick, 26-ft-long, and 10-ft-high wall is to be constructed using 9-in-long solid bricks (k = 0.40 Btu/h⋅ft⋅°F) of cross section 7 in × 7 in, or identical-size bricks with nine square air holes (k = 0.015 Btu/h⋅ft⋅°F) that are 9 in long and have a cross section of 1.5 in × 1.5 in. There is a 0.5-in-thick plaster layer (k = 0.10 Btu/h⋅ft⋅°F) between two adjacent bricks on all four sides and on both sides of the wall. The house is maintained at 80°F and the ambient temperature outside is 35°F. Take the heat transfer coefficients at the inner and outer surfaces of the wall to be 1.5 and 6 Btu/h⋅ft2⋅°F, respectively. Determine the rate of heat transfer through the wall constructed of solid bricks.

Elements Of Electromagnetics
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A 10-in-thick, 26-ft-long, and 10-ft-high wall is to be constructed using 9-in-long solid bricks (k = 0.40 Btu/h⋅ft⋅°F) of cross section 7 in × 7 in, or identical-size bricks with nine square air holes (k = 0.015 Btu/h⋅ft⋅°F) that are 9 in long and have a cross section of 1.5 in × 1.5 in. There is a 0.5-in-thick plaster layer (k = 0.10 Btu/h⋅ft⋅°F) between two adjacent bricks on all four sides and on both sides of the wall. The house is maintained at 80°F and the ambient temperature outside is 35°F. Take the heat transfer coefficients at the inner and outer surfaces of the wall to be 1.5 and 6 Btu/h⋅ft2⋅°F, respectively.

Determine the rate of heat transfer through the wall constructed of solid bricks.

 

Required information
A 10-in-thick, 26-ft-long, and 10-ft-high wall is to be constructed using 9-in-long solid bricks (k = 0.40 Btu/h-ft-F) of cross
section 7 in x 7 in, or identical-size bricks with nine square air holes (k = 0.015 Btu/h-ft-"F) that are 9 in long and have a
cross section of 1.5 in x 1.5 in. There is a 0.5-in-thick plaster layer (k = 0.10 Btu/h-ft-"F) between two adjacent bricks on all
four sides and on both sides of the wall. The house is maintained at 80°F and the ambient temperature outside is 35'F.
Take the heat transfer coefficients at the inner and outer surfaces of the wall to be 1.5 and 6 Btu/h-ft2-F, respectively.
Air channels
1.5 in x 1.5 in x 9 in
0.5 in
7 in
0. in
Plaster
Brick
05 in
0.5 in
Determine the rate of heat transfer through the wall constructed of solid bricks.
The rate of heat transfer is
437.48 Btu/h.
Transcribed Image Text:Required information A 10-in-thick, 26-ft-long, and 10-ft-high wall is to be constructed using 9-in-long solid bricks (k = 0.40 Btu/h-ft-F) of cross section 7 in x 7 in, or identical-size bricks with nine square air holes (k = 0.015 Btu/h-ft-"F) that are 9 in long and have a cross section of 1.5 in x 1.5 in. There is a 0.5-in-thick plaster layer (k = 0.10 Btu/h-ft-"F) between two adjacent bricks on all four sides and on both sides of the wall. The house is maintained at 80°F and the ambient temperature outside is 35'F. Take the heat transfer coefficients at the inner and outer surfaces of the wall to be 1.5 and 6 Btu/h-ft2-F, respectively. Air channels 1.5 in x 1.5 in x 9 in 0.5 in 7 in 0. in Plaster Brick 05 in 0.5 in Determine the rate of heat transfer through the wall constructed of solid bricks. The rate of heat transfer is 437.48 Btu/h.
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