Thermal Building Design Wall Design and Heat Transfer Analysis.
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Transcript of Thermal Building Design Wall Design and Heat Transfer Analysis.
Thermal Building DesignWall Design and Heat Transfer Analysis
Gypsum Wallboard
Spray Applied Glass Fiber
2” x 6” Stud
PolystyreneInsulation
Asphalt Roof Shingles
Plywood Sheathing
Tar Paper
Roof Design
Gypsum Wallboard
Spray Applied
Glass Fiber
2” x 6” Stud
Polystyrene Insulation
Asphalt Roof
Shingles
Plywood Sheathing
Tar Paper
Roof
Component Heat Transfer Method Material Thickness
Thermal Conductivity
(W/mK)
R-Value (m2K/W)
inches millimeters Between Studs At Studs
Inside Film Conduction Inside Film 0.12 0.12
Wallboard Conduction Gypsum Board 0.625 15.875 0.16 0.09921875 0.09921875
InsulationSpray Applied Conduction Glass Fiber 3.5 88.9
0.038
2.30948043 -
0.039
InsulationBoard and
SlabConduction Polystyrene 2 50.8 11.2 -
Stud Conduction Spruce 5.5 139.7 0.09 - 1.55222222
Plywood Conduction Plywood 0.625 15.875 0.15 0.15
Roofing Conduction Asphalt 0.035 0.889 0.078 0.078
Outside Film Convection Outside Film 0.03 0.03
Total Thickness (in)
Total Thickness (m) R-Value
(m2K/W)R-Value (m2K/W)
6.785 172.339 13.9866992 2.02944097
U-Value (W/m2K)
U-Value (W/m2K)
0.0714965 0.49274653
Total U-Value (W/m2K)
Total U-Value (BTU/hr ft2 °F)
0.1136215 0.02000993
Gypsum Wallboard
Spray Applied Glass Fiber
2” x 6” Stud
Vinyl House Siding
Plywood Sheathing
Exterior Walls
Exterior Walls
Component Heat Transfer Method Material Thickness
Thermal Conductivity
(W/mK)
R-Value (m2K/W)
inches millimeters Between Studs At Studs
Inside Film Conduction Inside Film 0.12 0.12
Wallboard Conduction Gypsum Board 0.625 15.875 0.16 0.09921875 0.09921875
InsulationSpray Applied Conduction Glass Fiber 5.5 139.7
0.038
3.62918354 -
0.039
Stud Conduction Spruce 5.5 139.7 0.09 - 1.55222222
Plywood Conduction Plywood 0.625 15.875 0.15 0.15
Siding Conduction Foil Backed 0.035 0.889 0.52 0.52
Outside Film Convection Outside Film 0.03 0.03
Total Thickness (in)
Total Thickness (m) R-Value
(m2K/W)R-Value (m2K/W)
6.785 172.339 4.54840229 2.47144097
U-Value (W/m2K)
U-Value (W/m2K)
0.21985742 0.40462225
Total U-Value (W/m2K)
Total U-Value (BTU/hr ft2 °F)
0.24757215 0.04360003
Gypsum Wallboard
Spray Applied Glass
Fiber
2” x 6” Stud
Vinyl House Siding
Plywood Sheathing
Gypsum Wallboard
Spray Applied Glass Fiber
2” x 6” Stud
Polystyrene Insulation
Vinyl House Siding
Poured Concrete
Plywood Sheathing
Tar Paper
Above Ground Basement Walls
Gypsum Wallboard
Spray Applied
Glass Fiber
2” x 6” Stud
Polystyrene Insulation
Vinyl House Siding
Poured Concrete
Plywood Sheathing
Tar Paper
Above Ground Basement Wall
Component Heat Transfer Method Material Thickness
Thermal Conductivity
(W/mK)
R-Value (m2K/W)
inches millimeters Between Studs At Studs
Inside Film Conduction Inside Film 0.12 0.12
Wallboard Conduction Gypsum Board 0.625 15.875 0.16 0.09921875 0.09921875
InsulationSpray Applied Conduction Glass Fiber 5.5 139.7
0.038
3.62918354 -
0.039
Stud Conduction Spruce 5.5 139.7 0.09 - 1.55222222
Exterior WallPoured
ConcreteConduction
Sand and Gravel or
stone aggregate
8 203.2 2.15 -
InsulationBoard and
SlabConduction Polystyrene 2 50.8 11.2 -
Plywood Conduction Plywood 0.625 15.875 0.15 0.15
Siding Conduction Foil Backed 0.035 0.889 0.52 0.52
Outside Film Convection Outside Film 0.03 0.03
Total Thickness (in)
Total Thickness (m) R-Value
(m2K/W)R-Value (m2K/W)
16.785 426.339 17.8984023 2.47144097
U-Value (W/m2K)
U-Value (W/m2K)
0.05587091 0.40462225
Total U-Value (W/m2K)
Total U-Value (BTU/hr ft2 °F)
0.10818361 0.01905226
Gypsum Wallboard
Spray Applied Glass Fiber
2” x 6” Stud
Polystyrene Insulation
Poured Concrete
Tar Paper
Subterranean Walls
Subterranean Wall
Component Heat Transfer Method Material Thickness
Thermal Conductivity
(W/mK)
R-Value (m2K/W)
inches millimeters Between Studs At Studs
Inside Film Conduction Inside Film 0.12 0.12
Wallboard Conduction Gypsum Board 0.625 15.875 0.16 0.09921875 0.09921875
InsulationSpray Applied Conduction Glass Fiber 5.5 139.7
0.038
3.62918354 -
0.039
Stud Conduction Spruce 5.5 139.7 0.09 - 1.55222222
Exterior WallPoured
ConcreteConduction
Sand and Gravel or
stone aggregate
8 203.2 2.15 -
InsulationBoard and
SlabConduction Polystyrene 2 50.8 11.2 -
Outside Film Convection Outside Film 0.03 0.03
Total Thickness (in)
Total Thickness (m) R-Value
(m2K/W)R-Value (m2K/W)
16.125 409.575 17.2284023 1.80144097
U-Value (W/m2K)
U-Value (W/m2K)
0.05804369 0.55511117
Total U-Value (W/m2K)
Total U-Value (BTU/hr ft2 °F)
0.13260381 0.02335291
Gypsum Wallboard
Spray Applied
Glass Fiber
2” x 6” Stud
Polystyrene Insulation
Poured Concrete
Tar Paper
Heat Transfer Analysis – No Space Heating NeededUExterior AExterior Uroof Aroof Ubase_below Abase_below Ubase_above Abase_above Uwindow Awindow Ext Awindow_abv base Udoor Adoor_Ext Adoor_abv base UATOTAL
BTU/hr ft2 °F ft2 BTU/hr ft2 °F ft2 BTU/hr ft2 °F ft2 BTU/hr ft2 °F ft2 BTU/hr ft2 °F ft2 ft2 BTU/hr ft2 °F ft2 ft2 BTU/hr °F
0.0436 2660 0.02001 1600 0.0233529 540 0.019052 730 0.24 216 24 0.3 20 38.921875238.2988
Area Ratio 0.911278 0.913806 0.081203 0.032876712 0.007519 0.05331764
R-Value (hr ft2
°F/BTU)22.93576 49.97519 42.821216 52.48721 4.166667 3.333333
Heat Transfer Analysis
Heat Transfer for Average High Heat Transfer for Average Low Heat Generation
Heat Produced
Month Average High Average LowAmbient
Room Temperature
Heat TransferHeat Transfer
In or Out of House?
Heat Transfer Heat Transfer In or Out of House?
Typical Electric
Heater Heat Transfer
Δq
- °F °F °F BTU/hr W In or Out? BTU/hr W In or Out? BTU/hr BTU/hr
January 65 48 68 714.89652 209.5155 out of 4765.977 1396.77 out of 5200 434.0232
February 66 50 68 476.59768 139.677 out of 4289.379 1257.093 out of 5200 910.6209
March 66 52 68 476.59768 139.677 out of 3812.781 1117.416 out of 5200 1387.219
April 68 55 68 0 0 into 3097.885 907.9005 out of 5200 2102.115
May 69 58 68 -238.2988 -69.8385 into 2382.988 698.385 out of 5200 2817.012
June 71 61 68 -714.8965 -209.5155 into 1668.092 488.8695 out of 5200 3531.908
July 76 65 68 -1906.391 -558.708 into 714.8965 209.5155 out of 5200 4485.103
August 78 67 68 -2382.988 -698.385 into 238.2988 69.8385 out of 5200 4961.701
September 77 65 68 -2144.69 -628.5465 into 714.8965 209.5155 out of 5200 4485.103
October 75 60 68 -1668.092 -488.8695 into 1906.391 558.708 out of 5200 3293.609
November 70 54 68 -476.5977 -139.677 into 3336.184 977.7389 out of 5200 1863.816
December 66 49 68 476.59768 139.677 out of 4527.678 1326.931 out of 5200 672.322
Year # Future Value Fuel Cost Present Worth of the Fuel Cost
n (1+i)(n-1) (i=8.4%) 1/(1+d)n (d=0.75%)
1 30 29.77667494
2 32.52 32.03763338
3 35.25168 34.47026758
4 38.21282112 37.08761296
5 41.42269809 39.90369474
6 44.90220473 42.93360307
7 48.67398993 46.19357393
8 52.76260509 49.70107606
9 57.19466391 53.47490467
10 61.99901568 57.53528205
11 67.206933 61.90396599
12 72.85231537 66.60436639
13 78.97190986 71.66167064
14 85.60555029 77.10297863
15 92.79641652 82.95744797
16 100.5913155 89.25645023
17 109.040986 96.033739
18 118.2004288 103.3256308
19 128.1292649 111.1711998
20 138.8921231 119.612487
TOTAL NET PRESENT WORTH 1302.74426
Economic Analysis – Net Present Worth