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Thermal Building Design Wall Design and Heat Transfer Analysis.

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Presentation on theme: "Thermal Building Design Wall Design and Heat Transfer Analysis."— Presentation transcript:

1 Thermal Building Design Wall Design and Heat Transfer Analysis

2 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Polystyrene Insulation Asphalt Roof Shingles Plywood Sheathing Tar Paper Roof Design

3 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Polystyrene Insulation Asphalt Roof Shingles Plywood Sheathing Tar Paper Roof Component Heat Transfer Method MaterialThickness Thermal Conductivity (W/mK) R-Value (m 2 K/W) inchesmillimeters Between Studs At Studs Inside FilmConductionInside Film 0.12 WallboardConduction Gypsum Board 0.62515.8750.160.09921875 Insulation Spray Applied ConductionGlass Fiber3.588.9 0.038 2.30948043- 0.039 Insulation Board and Slab ConductionPolystyrene250.8 11.2- StudConductionSpruce5.5139.70.09-1.55222222 PlywoodConductionPlywood0.62515.875 0.15 RoofingConductionAsphalt0.0350.889 0.078 Outside FilmConvectionOutside Film 0.03 Total Thickness (in) Total Thickness (m) R-Value (m 2 K/W) 6.785172.339 13.98669922.02944097 U-Value (W/m 2 K) 0.07149650.49274653 Total U-Value (W/m 2 K) Total U-Value (BTU/hr ft 2 °F) 0.11362150.02000993

4 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Vinyl House Siding Plywood Sheathing Exterior Walls

5 Component Heat Transfer Method MaterialThickness Thermal Conductivity (W/mK) R-Value (m 2 K/W) inchesmillimeters Between Studs At Studs Inside FilmConductionInside Film 0.12 WallboardConduction Gypsum Board 0.62515.8750.160.09921875 Insulation Spray Applied ConductionGlass Fiber5.5139.7 0.038 3.62918354- 0.039 StudConductionSpruce5.5139.70.09-1.55222222 PlywoodConductionPlywood0.62515.875 0.15 SidingConductionFoil Backed0.0350.889 0.52 Outside FilmConvectionOutside Film 0.03 Total Thickness (in) Total Thickness (m) R-Value (m 2 K/W) 6.785172.339 4.548402292.47144097 U-Value (W/m 2 K) 0.219857420.40462225 Total U-Value (W/m 2 K) Total U-Value (BTU/hr ft 2 °F) 0.247572150.04360003 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Vinyl House Siding Plywood Sheathing

6 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

7 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 MaterialThickness Thermal Conductivity (W/mK) R-Value (m 2 K/W) inchesmillimeters Between Studs At Studs Inside FilmConductionInside Film 0.12 WallboardConduction Gypsum Board 0.62515.8750.160.09921875 Insulation Spray Applied ConductionGlass Fiber5.5139.7 0.038 3.62918354- 0.039 StudConductionSpruce5.5139.70.09-1.55222222 Exterior Wall Poured Concrete Conduction Sand and Gravel or stone aggregate 8203.2 2.15- Insulation Board and Slab ConductionPolystyrene250.8 11.2- PlywoodConductionPlywood0.62515.875 0.15 SidingConductionFoil Backed0.0350.889 0.52 Outside FilmConvectionOutside Film 0.03 Total Thickness (in) Total Thickness (m) R-Value (m 2 K/W) 16.785426.339 17.89840232.47144097 U-Value (W/m 2 K) 0.055870910.40462225 Total U-Value (W/m 2 K) Total U-Value (BTU/hr ft 2 °F) 0.108183610.01905226

8 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Polystyrene Insulation Poured Concrete Tar Paper Subterranean Walls

9 Subterranean Wall Component Heat Transfer Method MaterialThickness Thermal Conductivity (W/mK) R-Value (m 2 K/W) inchesmillimeters Between StudsAt Studs Inside FilmConductionInside Film 0.12 WallboardConductionGypsum Board0.62515.8750.160.09921875 Insulation Spray Applied ConductionGlass Fiber5.5139.7 0.038 3.62918354- 0.039 StudConductionSpruce5.5139.70.09-1.55222222 Exterior Wall Poured Concrete Conduction Sand and Gravel or stone aggregate 8203.2 2.15- Insulation Board and Slab ConductionPolystyrene250.8 11.2- Outside FilmConvectionOutside Film 0.03 Total Thickness (in) Total Thickness (m) R-Value (m 2 K/W) 16.125409.575 17.22840231.80144097 U-Value (W/m 2 K) 0.058043690.55511117 Total U-Value (W/m 2 K) Total U-Value (BTU/hr ft 2 °F) 0.132603810.02335291 Gypsum Wallboard Spray Applied Glass Fiber 2” x 6” Stud Polystyrene Insulation Poured Concrete Tar Paper

10 Heat Transfer Analysis – No Space Heating Needed U Exterior A Exterior U roof A roof U base_below A base_below U base_above A base_above U window A window Ext A window_abv base U door A door_Ext A door_abv base UA TOTAL BTU/hr ft 2 °Fft 2 BTU/hr ft 2 °Fft 2 BTU/hr ft 2 °Fft 2 BTU/hr ft 2 °Fft 2 BTU/hr ft 2 °Fft 2 BTU/hr ft 2 °Fft 2 BTU/hr °F 0.043626600.0200116000.02335295400.0190527300.24216240.32038.921875 238.2988 Area Ratio 0.911278 0.913806 0.0812030.032876712 0.0075190.05331764 R-Value (hr ft 2 °F/BTU) 22.93576 49.97519 42.821216 52.48721 4.166667 3.333333 Heat Transfer Analysis Heat Transfer for Average HighHeat Transfer for Average Low Heat Generation Heat Produced MonthAverage HighAverage Low Ambient Room Temperature Heat Transfer Heat Transfer In or Out of House? Heat Transfer Heat Transfer In or Out of House? Typical Electric Heater Heat Transfer ΔqΔq -°F BTU/hrWIn or Out?BTU/hrWIn or Out?BTU/hr January654868714.89652209.5155out of4765.9771396.77out of5200434.0232 February665068476.59768139.677out of4289.3791257.093out of5200910.6209 March665268476.59768139.677out of3812.7811117.416out of52001387.219 April68556800into3097.885907.9005out of52002102.115 May695868-238.2988-69.8385into2382.988698.385out of52002817.012 June716168-714.8965-209.5155into1668.092488.8695out of52003531.908 July766568-1906.391-558.708into714.8965209.5155out of52004485.103 August786768-2382.988-698.385into238.298869.8385out of52004961.701 September776568-2144.69-628.5465into714.8965209.5155out of52004485.103 October756068-1668.092-488.8695into1906.391558.708out of52003293.609 November705468-476.5977-139.677into3336.184977.7389out of52001863.816 December664968476.59768139.677out of4527.6781326.931out of5200672.322

11 Year #Future Value Fuel CostPresent Worth of the Fuel Cost n(1+i) (n-1) (i=8.4%)1/(1+d) n (d=0.75%) 13029.77667494 232.5232.03763338 335.2516834.47026758 438.2128211237.08761296 541.4226980939.90369474 644.9022047342.93360307 748.6739899346.19357393 852.7626050949.70107606 957.1946639153.47490467 1061.9990156857.53528205 1167.20693361.90396599 1272.8523153766.60436639 1378.9719098671.66167064 1485.6055502977.10297863 1592.7964165282.95744797 16100.591315589.25645023 17109.04098696.033739 18118.2004288103.3256308 19128.1292649111.1711998 20138.8921231119.612487 TOTALNET PRESENT WORTH1302.74426 Economic Analysis – Net Present Worth


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