Master speciale Master i Bygningsfysik Poul Børison Hansen Forår 2016 Studienummer:

Master speciale Master i Bygningsfysik Poul Børison Hansen Forår 2016 Studienummer: 20073549 BILAG Bilag 1: HEAT2 beregning af 350 mm teglvæg Bilag 2: Elementets samlede vægt Bilag 3: HEAT2 beregning af præfabrikeret element Bilag 4: U-værdiberegning for præfabrikeret element efter DS418 Bilag 5: HEAT2 Data for beregning af overflade temperatur 350 mm ydervæg uden isolering Bilag 6: HEAT2 Data for beregning af overflade temperatur 490 mm ydervæg uden isolering Bilag 7: Rapport fra WUFI Pro, element og teglvæg Bilag 8: Opmåling til energiberegning Bilag 9: IX diagram til udlæsning af vandindhold Bilag 10: Solindfaldsskema fra SBi 202 Bilag 11: Beregning af varmeeffekter Bilag 12: beregning af varmeeffekt uden solstråling Bilag 13: Dataopsamlings skema varmeeffekter 2016.05.31 40 Revdato: 31-05-2016 18:33:00

HEAT2 Report: ELEMENT 1-2 BILAG 1 HEAT2 TEGLVÆG Input files: ELEMENT 1-2.DAT+H2P. Saved: 06-04-2016 13:29:50 Project notes: Boundary flows: in: 17.625 W/m Heat flow for each BC type: BC q [W/m] [2] 17.625 (T=20 R=0.13) [3] -17.627 (T=0 R=0.13) : -0.0026 Bound q q Length BC [W/m²] [W/m] [m] 1-4.777-17.627 3.69 [3] T=0 R=0.13 3 4.7763 17.625 3.69 [2] T=20 R=0.13 : -0.0026 THERMAL BRIDGES ACCORDING TO EN ISO 10211: Thermal coupling coefficient: L^2D=q_in/dT=17.625/20= 0.8812 W/(m K) Max error between exact and calculated U-values at cut-off planes is 4.5171%. Make sure that cut-off planes are not too close central element. Thermal transmittance coefficient: Psi=L^2D-U_1D*L=0.8812-0.3306*3.69= -0.3385 W/(m K) (Psi is negative) Average U-value for section: U_avr=U_1D+Psi/L=0.2388 W/(m² K) Vertical cut-off planes found. U-values at cut-off planes [W/(m² K)]: exact calculated error(%) right boundary: 0.3306 0.3173 4.165 left boundary: 0.3306 0.3163 4.5171 Extreme temperatures and temperature factor f_rsi: Indoor Min: 17.613 C f_rsi=f_0.13=0.8806 @ (x, y)=(0.6005, 0.203) Max: 19.682 C Outdoor Min: 0.4046 C Max: 2.7857 C Indoor boundaries: 3 Outdoor boundaries: 1 Calculation: Steady-state calculation. Number of iterations: 1325 Mesh: N=344862 (Nx=2499, Ny=138) Boundary conditions: Number of types: 3 1. q=0 W/m 2. T=20 C, R=0.13 m² K/W 3. T=0 C, R=0.13 m² K/W Report generated 16-04-2016 16:00 HEAT2 version 10.02 License: Aalborg Universitet 1

HEAT2 Report: ELEMENT 1-2 BILAG 1 HEAT2 TEGLVÆG Pre-processor: 3.69 Materials: Lx Ly C [W/(m K)] [W/(m K)] [MJ/(m³ K)] a isolering kl 37.037.037 1 a træ.15.15 1 a gips.20.20 1 a stål 55 55 1 Post-processor: Report generated 16-04-2016 16:00 HEAT2 version 10.02 License: Aalborg Universitet 2

BILAG 2 VÆGT AF ELEMENT Bilag 2 Elementets samlede vægt Elementets vægt Materiale Tykkelse Densitet Andel/ Volumen Vægt mængde M Kg/M 3 M 3 Kg Isolering 0,070 30 3*3,69 0,775 23,25 Dampspærre - 80 3*3*4 Ramme af konstruktionstræ 0,125 450 0,1188 0,1561 70,25 Isolering i rammekonstruktion 0,125 30 0,8872 1,2278 38,18 Vindspærre 33,5 0,008 kg/plade 1,2*3 3 stk 100,5 Forskalling for regnskærm 0,037 450 0,0486 21,87 Regnskærm 0,006 2000 0,0664 132,84 Samlet vægt 387 Vægt pr. m 2 3*3,69 35kg/m 2 Tabel 1 - Samlet vægt af element

HEAT2 Report: ELEMENT 1-2 BILAG 3 HEAT2 element Input files: ELEMENT 1-2.DAT+H2P. Saved: 06-04-2016 13:29:50 Project notes: Boundary flows: in: 17.625 W/m Heat flow for each BC type: BC q [W/m] [2] 17.625 (T=20 R=0.13) [3] -17.627 (T=0 R=0.13) : -0.0026 Bound q q Length BC [W/m²] [W/m] [m] 1-4.777-17.627 3.69 [3] T=0 R=0.13 3 4.7763 17.625 3.69 [2] T=20 R=0.13 : -0.0026 THERMAL BRIDGES ACCORDING TO EN ISO 10211: Thermal coupling coefficient: L^2D=q_in/dT=17.625/20= 0.8812 W/(m K) Max error between exact and calculated U-values at cut-off planes is 4.5171%. Make sure that cut-off planes are not too close central element. Thermal transmittance coefficient: Psi=L^2D-U_1D*L=0.8812-0.3306*3.69= -0.3385 W/(m K) (Psi is negative) Average U-value for section: U_avr=U_1D+Psi/L=0.2388 W/(m² K) Vertical cut-off planes found. U-values at cut-off planes [W/(m² K)]: exact calculated error(%) right boundary: 0.3306 0.3173 4.165 left boundary: 0.3306 0.3163 4.5171 Extreme temperatures and temperature factor f_rsi: Indoor Min: 17.613 C f_rsi=f_0.13=0.8806 @ (x, y)=(0.6005, 0.203) Max: 19.682 C Outdoor Min: 0.4046 C Max: 2.7857 C Indoor boundaries: 3 Outdoor boundaries: 1 Calculation: Steady-state calculation. Number of iterations: 1325 Mesh: N=344862 (Nx=2499, Ny=138) Boundary conditions: Number of types: 3 1. q=0 W/m 2. T=20 C, R=0.13 m² K/W 3. T=0 C, R=0.13 m² K/W Report generated 16-04-2016 16:00 HEAT2 version 10.02 License: Aalborg Universitet 1

HEAT2 Report: ELEMENT 1-2 BILAG 3 HEAT2 element Pre-processor: 3.69 Materials: Lx Ly C [W/(m K)] [W/(m K)] [MJ/(m³ K)] a isolering kl 37.037.037 1 a træ.15.15 1 a gips.20.20 1 a stål 55 55 1 Post-processor: Report generated 16-04-2016 16:00 HEAT2 version 10.02 License: Aalborg Universitet 2

BILAG 4 U-VÆRDIBEREGNING ELEMENT Bilag 4 U-værdiberegning for Præfabrikeret element efter DS418 Arealer af træ i elementet: betegnelse antal længde bredde resultat stolper 7 2,91 0,045 0,91665 top/bund Samlet træareal 2 3,69 0,045 0,3321 1,24875 Areal af isolering i element areal af element 3,69 3 11,07 isoleringsareal (samlet element - træareal) Samlet isoleringsareal 9,82125 Arealandele isolering træ 9,82125 11,07 0,887195 1,24875 11,07 0,112805 Vægtet lambda for inhomogent lag Træandel Isoleringsandel 0,112805 0,15 0,887195 0,037 Vægtet værdi 0,049747 Calculation of U-values for simple constructions 0 Project: 0 Made by: 0 Construction part 21: Element 1 Aircavities Layer R d U g R m²k/w W/mK m W/m²K m²k/w Rsi 0,13 0,130 Inhomogent lag træ/isolering 0,050 0,125 2,513 ubrudt isolering 70 mm 0,037 0,070 1,892 vindspærre 0,220 0,008 0,036 Udvendig ventileret hulrum >25 mm 0,13 0,130 R = 4,701 m²k/w U' = 0,213 W/m²K U g = 0,000 U f = Resulting one dimensional U-værdi for Construction part 21 U = 0,213 W/m²K

HEAT2 Report: ELEMENT 1-3_2 BILAG 5 HEAT2 ELEMENT og 350 mm Input files: ELEMENT 1-3_2.DAT+H2P. Saved: 15-04-2016 18:55:02 Project notes: Boundary flows: in: 15.706 W/m Heat flow for each BC type: BC q [W/m] [2] 15.706 (T=20 R=0.13) [3] -15.705 (T=0 R=0.13) : 0.0010 Bound q q Length BC [W/m²] [W/m] [m] 1-4.2562-15.705 3.69 [3] T=0 R=0.13 3 4.2564 15.706 3.69 [2] T=20 R=0.13 : 0.0010 THERMAL BRIDGES ACCORDING TO EN ISO 10211: Thermal coupling coefficient: L^2D=q_in/dT=15.706/20= 0.7853 W/(m K) WARNING! RESULTS BELOW MAY NOT BE OK! Calculated U-values at cut-off planes should be same. They differ by 3.8055%. Max error between exact and calculated U-values at cut-off planes is 8.8512%. Make sure that cut-off planes are not too close central element. Thermal transmittance coefficient: Psi=L^2D-U_1D*L=0.7853-0.2825*3.69= -0.2571 W/(m K) (Psi is negative) Average U-value for section: U_avr=U_1D+Psi/L=0.2128 W/(m² K) Vertical cut-off planes found. U-values at cut-off planes [W/(m² K)]: exact calculated error(%) right boundary: 0.2825 0.2595 8.8512 left boundary: 0.2825 0.2696 4.7862 Extreme temperatures and temperature factor f_rsi: Indoor Min: 19.329 C f_rsi=f_0.13=0.9665 @ (x, y)=(0.5063, 0.553) Max: 19.527 C Outdoor Min: 0.3569 C Max: 2.462 C Indoor boundaries: 3 Outdoor boundaries: 1 Calculation: Steady-state calculation. Number of iterations: 2599 Mesh: N=937125 (Nx=2499, Ny=375) Report generated 16-04-2016 17:03 HEAT2 version 10.02 License: Aalborg Universitet 1

HEAT2 Report: ELEMENT 1-3_2 BILAG 5 HEAT2 ELEMENT og 350 mm Boundary conditions: Number of types: 3 1. q=0 W/m 2. T=20 C, R=0.13 m² K/W 3. T=0 C, R=0.13 m² K/W Report generated 16-04-2016 17:03 HEAT2 version 10.02 License: Aalborg Universitet 2

HEAT2 Report: ELEMENT 1-3_2 BILAG 5 HEAT2 ELEMENT og 350 mm Pre-processor: 3.69 Materials: Lx Ly C [W/(m K)] [W/(m K)] [MJ/(m³ K)] a isolering kl 37.037.037 1 a træ.15.15 1 a gips.20.20 1 a stål 55 55 1 a indv. tegl.68.68 1 Post-processor: Report generated 16-04-2016 17:03 HEAT2 version 10.02 License: Aalborg Universitet 3

HEAT2 Report: ELEMENT 1-3_3 BILAG 6 HEAT2 ELEMENT og 490 mm Input files: ELEMENT 1-3_3.DAT+H2P. Saved: 17-04-2016 14:33:36 Project notes: Boundary flows: in: 15.051 W/m Heat flow for each BC type: BC q [W/m] [2] 15.051 (T=20 R=0.13) [3] -15.049 (T=0 R=0.13) : 0.002 Bound q q Length BC [W/m²] [W/m] [m] 1-4.0783-15.049 3.69 [3] T=0 R=0.13 3 4.0789 15.051 3.69 [2] T=20 R=0.13 : 0.002 THERMAL BRIDGES ACCORDING TO EN ISO 10211: Thermal coupling coefficient: L^2D=q_in/dT=15.051/20= 0.7525 W/(m K) WARNING! RESULTS BELOW MAY NOT BE OK! Calculated U-values at cut-off planes should be same. They differ by 3.6238%. Max error between exact and calculated U-values at cut-off planes is 6.3632%. Make sure that cut-off planes are not too close central element. Thermal transmittance coefficient: Psi=L^2D-U_1D*L=0.7525-0.267*3.69= -0.2326 W/(m K) (Psi is negative) Average U-value for section: U_avr=U_1D+Psi/L=0.2039 W/(m² K) Vertical cut-off planes found. U-values at cut-off planes [W/(m² K)]: exact calculated error(%) right boundary: 0.267 0.251 6.3632 left boundary: 0.267 0.2603 2.5774 Extreme temperatures and temperature factor f_rsi: Indoor Min: 19.394 C f_rsi=f_0.13=0.9697 @ (x, y)=(0.4598, 0.693) Max: 19.546 C Outdoor Min: 0.3413 C Max: 2.3499 C Indoor boundaries: 3 Outdoor boundaries: 1 Calculation: Steady-state calculation. Number of iterations: 2250 Mesh: N=1174530 (Nx=2499, Ny=470) Report generated 17-04-2016 14:39 HEAT2 version 10.02 License: Aalborg Universitet 1

HEAT2 Report: ELEMENT 1-3_3 BILAG 6 HEAT2 ELEMENT og 490 mm Boundary conditions: Number of types: 3 1. q=0 W/m 2. T=20 C, R=0.13 m² K/W 3. T=0 C, R=0.13 m² K/W Report generated 17-04-2016 14:39 HEAT2 version 10.02 License: Aalborg Universitet 2

HEAT2 Report: ELEMENT 1-3_3 BILAG 6 HEAT2 ELEMENT og 490 mm Pre-processor: 3.69 Materials: Lx Ly C [W/(m K)] [W/(m K)] [MJ/(m³ K)] a isolering kl 37.037.037 1 a træ.15.15 1 a gips.20.20 1 a stål 55 55 1 a indv. tegl.68.68 1 Post-processor: Report generated 17-04-2016 14:39 HEAT2 version 10.02 License: Aalborg Universitet 3

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Project Data Project Name master thesis Project Number 1 Client Contact Person City/Zip Street Phone Fax e-mail Responsible Remarks Date 22-03-2016 WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 1

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Component Assembly Case: Element 1_Basis-ventileret Exterior Interior 0,0060,040,008 0,125 0,07 0,35 - Monitor positions Thickness [m] / - Heat/Moisture source/sink positions Materials: - Mineral Finishing Coat 0,006 m - Air Layer 40 mm 0,04 m - CaSi-Board (Lüneburg) 0,008 m - Mineral Wool (heat cond.: 0,04 W/mK) 0,125 m - Mineral Insulation Board 0,07 m - Solid Brick, historical 0,35 m Sd-Value Ext. [m]: 2 Sd-Value Int. [m]: 2 Total Thickness: 0,6 m R-Value: 5,44 m²k/w U-Value: 0,178 W/m²K WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 2

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: Mineral Finishing Coat Checking Input Data Property Unit Value Bulk density [kg/m³] 1482,0 Porosity [m³/m³] 0,44 Specific Heat Capacity, Dry [J/kgK] 850,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,954 Water Vapour Diffusion Resistance Factor [ - ] 17,0 Reference Water Content [kg/m³] 8,9 Free Water Saturation [kg/m³] 321,0 Water Absorption Coefficient [kg/m²s^0.5] 0,002 Moisture-dep. Thermal Cond. Supplement [%/M.-%] 8,0 Temp-dep. Thermal Cond. Supplement [W/mK²] 0,0002 Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] 4 3 2 1 0 10-9 10-10 10-11 10-12 Suction Redist. 10-13 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 1.0 0.8 0.6 0.4 0.2 0.0-20 0 20 40 60 80 Temperature [ C] Diffusion Resistance Factor [ - ] Water Content [kg/m³] 10 2.25 10 2.00 10 1.75 10 1.50 10 1.25 10 1.00 350 280 210 140 70 Moisture Range: 0.0-1.0 RH 0.95-1.0 RH not defined 0 0 0.95 0.2 0.96 0.4 0.97 0.6 0.98 0.8 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 3

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: Air Layer 40 mm Checking Input Data Property Unit Value Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] Bulk density [kg/m³] 1,3 Porosity [m³/m³] 0,999 Specific Heat Capacity, Dry [J/kgK] 1000,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,23 Water Vapour Diffusion Resistance Factor [ - ] 0,38 0.25 0.20 0.15 0.10 0.05 0.00 10-4 10-6 10-8 10-10 Suction Redist. Suction not defined Redistribution not defined 10-12 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 0.25 0.20 0.15 0.10 0.05 0.00 10 12 14 16 18 20 Temperature [ C] Diffusion Resistance Factor [ - ] 10 0.75 10 0.50 10 0.25 10 0.00 10-0.25 10-0.50 Water Content [kg/m³] 50 40 30 20 10 Moisture Range: 0.5-1.0 RH 0.95-1.0 RH 0 0.5 0.95 0.6 0.96 0.7 0.97 0.8 0.98 0.9 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 4

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: CaSi-Board (Lüneburg) Checking Input Data Property Unit Value Bulk density [kg/m³] 230,0 Porosity [m³/m³] 0,9 Specific Heat Capacity, Dry [J/kgK] 920,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,05 Water Vapour Diffusion Resistance Factor [ - ] 3,23 Temp-dep. Thermal Cond. Supplement [W/mK²] 0,0002 Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] 0.4 0.3 0.2 0.1 0.0 10-4 10-5 10-6 10-7 10-8 Suction Redist. 10-9 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 0.10 0.05 0.00-20 0 20 40 60 80 Temperature [ C] Diffusion Resistance Factor [ - ] Water Content [kg/m³] 10 0.6 10 0.5 10 0.4 10 0.3 10 0.2 10 0.1 10 0.0 1000 800 600 400 200 Moisture Range: 0.0-1.0 RH 0.95-1.0 RH not defined 0 0 0.95 0.2 0.96 0.4 0.97 0.6 0.98 0.8 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 5

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: Mineral Wool (heat cond.: 0,04 W/mK) Checking Input Data Property Unit Value Bulk density [kg/m³] 60,0 Porosity [m³/m³] 0,95 Specific Heat Capacity, Dry [J/kgK] 850,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,04 Water Vapour Diffusion Resistance Factor [ - ] 1,3 Temp-dep. Thermal Cond. Supplement [W/mK²] 0,0002 Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] 0.6 0.4 0.2 0.0 10-4 10-6 10-8 10-10 Suction Redist. Suction not defined Redistribution not defined 10-12 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 0.10 0.05 0.00-20 0 20 40 60 80 Temperature [ C] Diffusion Resistance Factor [ - ] Water Content [kg/m³] 10 1.2 10 1.0 10 0.8 10 0.6 10 0.4 10 0.2 10 0.0 50 40 30 20 10 Moisture Range: 0.5-1.0 RH 0.95-1.0 RH 0 0.5 0.95 0.6 0.96 0.7 0.97 0.8 0.98 0.9 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 6

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: Mineral Insulation Board Checking Input Data Property Unit Value Bulk density [kg/m³] 115,0 Porosity [m³/m³] 0,95 Specific Heat Capacity, Dry [J/kgK] 850,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,043 Water Vapour Diffusion Resistance Factor [ - ] 3,4 Moisture-dep. Thermal Cond. Supplement [%/M.-%] 3,7 Temp-dep. Thermal Cond. Supplement [W/mK²] 0,0002 Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] 1.6 1.2 0.8 0.4 0.0 10-8 10-9 Suction Redist. 10-10 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 0.10 0.05 0.00-20 0 20 40 60 80 Temperature [ C] Diffusion Resistance Factor [ - ] Water Content [kg/m³] 10 1.75 10 1.50 10 1.25 10 1.00 10 0.75 10 0.50 300 240 180 120 60 Moisture Range: 0.0-1.0 RH 0.95-1.0 RH not defined 0 0 0.95 0.2 0.96 0.4 0.97 0.6 0.98 0.8 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 7

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Material: Solid Brick, historical Checking Input Data Property Unit Value Bulk density [kg/m³] 1800,0 Porosity [m³/m³] 0,31 Specific Heat Capacity, Dry [J/kgK] 850,0 Thermal Conductivity, Dry, 10 C [W/mK] 0,6 Water Vapour Diffusion Resistance Factor [ - ] 15,0 Moisture-dep. Thermal Cond. Supplement [%/M.-%] 15,0 Temp-dep. Thermal Cond. Supplement [W/mK²] 0,0002 Thermal Conductivity [W/mK] Liquid Transport Coefficient [m²/s] Thermal Conductivity [W/mK] 2.5 2.0 1.5 1.0 0.5 0.0 10-3 10-4 10-5 10-6 10-7 10-8 Suction Redist. 10-9 0 0.2 0.4 0.6 0.8 1.0 Normalized Water Content [ - ] W/Wmax 0.8 0.6 0.4 0.2 0.0-20 0 20 40 60 80 Temperature [ C] Diffusion Resistance Factor [ - ] Water Content [kg/m³] 10 2.25 10 2.00 10 1.75 10 1.50 10 1.25 10 1.00 250 200 150 100 50 Moisture Range: 0.0-1.0 RH 0.95-1.0 RH not defined 0 0 0.95 0.2 0.96 0.4 0.97 0.6 0.98 0.8 0.99 1.0 1.0 Relative Humidity [ - ] WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 8

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Boundary Conditions Exterior (Left Side) Location: Lund; LTH Data Orientation / Inclination: South / 90 Interior (Right Side) Indoor Climate: EN 13788 Humidity Class 3; Temperature: 20 C Surface Transfer Coefficients Exterior (Left Side) Name Description Unit Value Heat Resistance External Wall [m²k/w] 0,0588 - includes long-wave radiation yes Sd-Value Tiles [m] 2 Short-Wave Radiation Absorptivity Tiles, concrete, uncoloured [ - ] 0,65 Long-Wave Radiation Emissivity Tiles, concrete, uncoloured [ - ] 0,9 Adhering Fraction of Rain No absorption [ - ] ---- Explicit Radiation Balance Interior (Right Side) Name Description Unit Value Heat Resistance External Wall [m²k/w] 0,125 Sd-Value Tiles [m] 2 no WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 9

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Sources, Sinks Air Layer 40 mm Source1 Name Type Air Change Source Whole Layer mix with air from left-hand side Air Changes [1/h] 30 WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 10

WUFI Pro 5.3 BILAG 7 FUGTBEREGNING WUFI PRO Results from Last Calculation Status of Calculation Calculation: Time and Date 15-04-2016 20:04:45 Computing Time 0 min,52 sec. Begin / End of calculation 01-10-2016 / 01-10-2019 No. of Convergence Failures 0 Check for numerical quality Integral of fluxes, left side (kl,dl) [kg/m²] -0,0-0,23 Integral of fluxes, right side (kr,dr) [kg/m²] -4,8E-8-0,89 Balance 1 [kg/m²] -0,6 Balance 2 [kg/m²] -0,88 Water Content [kg/m²] Start End Min. Max. Total Water Content 2,28 1,67 1,1 2,28 Water Content [kg/m³] Layer/Material Start End Min. Max. Mineral Finishing Coat 8,90 8,47 1,61 14,53 Air Layer 40 mm 1,88 1,52 0,09 2,84 CaSi-Board (Lüneburg) 4,76 4,21 1,49 6,23 Mineral Wool (heat cond.: 0,04 W/mK) 1,79 0,97 0,16 1,79 Mineral Insulation Board 4,50 3,16 1,30 4,50 Solid Brick, historical 4,50 3,39 2,64 4,50 Time Integral of fluxes Heat Flux, left side [MJ/m²] 8,74 Heat Flux, right side [MJ/m²] -127,29 Moisture Fluxes, left side [kg/m²] -0,23 Moisture Fluxes, right side [kg/m²] -0,89 Hygrothermal Sources Heat Sources [MJ/m²] -133,87 Source1 (Air Change Source) [MJ/m²] -133,87 Moisture Sources [kg/m²] -1,545 Unreleased Moisture Sources (due to cut-off) [kg/m²] -0,0 Source1 (Air Change Source) [kg/m²] -1,545 WUFI Pro 5.3; basis-model.w5p; Case 1: Element 1_Basis-ventileret; 30-04-2016 Page : 11

BILAG 8 OPMÅLING TIL Be15 Sydfacade linietabs antal længder vindue bredde højde areal kld st+1. 2,3+4 antal areal antal areal antal areal S1 1,3 1,4 1,82 0 4 7,28 6 10,92 41 S2 1,8 1,4 2,52 0 2 5,04 6 15,12 36,8 S3 1 2 2 0 2 4 6 12 40 S4 2,8 1,4 3,92 0 2 7,84 0 11,2 S5 1,3 0,78 1,014 1 1,014 0 0 2,86 S6 0,72 0,78 0,5616 5 2,808 0 0 11,4 fordør 1 2,1 2,1 1 2,1 0 0 5,2 3,822 24,16 38,04 Linietab længder 148,46 Ydervæg, syd bredde højde areal vinduesarealer Arealer til BE 15 2,3+4 35 cm tegl 16,1 8,4 135,24 38,04 97,2 st+1 48 cm tegl 16,1 6 96,6 24,16 72,44 kld 48 cm tegl 16,1 1,4 22,54 3,822 18,718 kld 49 cm beton 16,1 1 16,1 16,1 Nordfacade antal kld st+1. 2,3+4 linietabs længder vindue bredde højde areal antal areal antal areal antal areal N1 1,3 1,4 1,82 0 6 10,92 8 14,56 57,4 N2 1,5 2 3 0 4 12 6 18 55 N3 0,72 0,78 0,5616 2 1,1232 4 2,2464 6 3,3696 27,36 N4 1,5 0,78 1,17 2 2,34 0 0 6,12 N5 1,3 0,78 1,014 2 2,028 0 0 5,72 0 0 0 0 kælderdør 1 2,1 2,1 1 2,1 0 0 5,2 5,4912 25,1664 35,9296 Linietab længder 156,8

BILAG 8 OPMÅLING TIL Be15 Ydervæg, nord bredde højde areal vinduesarealer Arealer til BE 2,3+4 35 cm tegl 16,1 8,4 135,24 35,9296 99,3104 st+1 48 cm tegl 16,1 6 96,6 25,1664 71,4336 kld 48 cm tegl 16,1 1,4 22,54 5,4912 17,0488 kld 49 cm beton 16,1 1 16,1 16,1 terrændæk længde dybde Arealer til BE linietabs længder 16,1 8,2 132,02 Linietab længde 32,2 tag længde dybde Arealer til BE 16,1 9,2 148,12 U-værdier til Be15 eksisterende bygning med forsatsvæg U-værdi Arealer U-værdi 35 cm teglvæg 1,3 196,51 0,213 48 cm teglvæg 1,1 179,64 0,204 49 cm beton 1,5 32,20 0,232 tag 0,17 148,12 terrændæk 0,27 132,02 vinduer 1,2 Linietab længde Vinduer og døre 0,11 305,26 0,03 Fundament 0,42 32,2 Arealopmåling til BE15 Etageareal antal etager inkluderet areal areal til Be15 beboelse 16,1 9,2 5 740,6 kælder 16,1 8,2 1 50% 66,01 Total ydervæg 408,35 ventilation boligareal vent rate køk bad udsug l/s 20 15 35 74 0,472973 0,47

BILAG 9 IX-DIAGRAM

BILAG 10 SOLINDFALDSSKEMA DANMARK

Højde hulrum 6 m. Tu = 10 Ti = 20 Tg = 278 BILAG 11 BEREGNING AF VARMEEFFEKTER

Højde hulrum 6 m Tu =10 Ti = 25 Tg = 278 BILAG 11 BEREGNING AF VARMEEFFEKTER

Højde hulrum 6 m Tu =10 Ti = 30 Tg = 278 BILAG 11 BEREGNING AF VARMEEFFEKTER

Højde hulrum = 6 m Tu = 15 Ti = 20 Tg = 283 BILAG 11 BEREGNING AF VARMEEFFEKTER

Højde hulrum 6 m. Tu= 20 Ti=20 Tg = 288 BILAG 11 BEREGNING AF VARMEEFFEKTER

BILAG 11 BEREGNING AF VARMEEFFEKTER 19 05 2016 15:27 skærmklip Højde hulrum 17 m. Tu = 10 Ti = 25 Tg = 278

BILAG 12 BEREGNING UDEN SOLSTRÅLING Beregning af U-værdi - Element Beregning af U-værdi - teglvæg Tykkelse Lambda R Delta-T Temperatur Tykkelse Lambda R Delta-T Temperatur m W/mk m2k/w K C Sum tyk Sum R m W/mk m2k/w K C Sum tyk Sum R Temp i hulrum 21,8 0,00 Indetemp 25-0,02 0,00 inv.overgang 0,13 0,24 inv.overgang 0,13 0,54 21,6 0 0,13 24,5 0 0,13 70 mm isol 0,037 0,07 0,037 1,89 3,47 35 cm tegl 0,35 0,68 0,51 2,13 18,1 0,07 2,02 22,3 0 0,64 125 mm element 0,05 0,125 0,05 2,50 4,58 udv.overgang 0,13 0,54 13,5 0,195 4,52 temp i hulrum 21,8 0 0,77 vindspærre 0,008 0,22 0,04 0,07 R-tot 0,77 3,2 13,4 0,203 4,56 udv.overgang 0,04 0,07 Tou 13,4 0,203 4,60 R-tot 4,60 8,4 U-værdi 0,22 W/m2K Kontrol 8,4 U-værdi 1,29 W/m2K Kontrol 3,2 qs 1,83 W/m2 qs 4,13 W/m2 element overføres til ARK luftmasser teglvæg overføres til ARK luftmasser Overfladetemperatur element U-værdi for Element U 0,22 vælges i forhold til højde 17m/6m t - hulrum 21,8 Højder fane: luftmasser v 4 acceptabel temperaturstigning L 16,1 17 m 6,8 +tu = t-hulrum k 9,0 6 m 2,4 +tu = t-hulrum vælges som udetemperatur 10 / 15 / 20 tu 15 Indetemperatur 20 /25 / 30 ti 25 0,7 H 0 0,93 afhængig af udetemperatur kap:55212 Tg 283 10 5, 10, 15 5,67E-08 Tou 286,37 Cpl 1,006 tou vælges til den er ens med overfladetemperatur tou 13,374 cpd 1,8 ro 2501 s 16,42 overfladetemperatur 13,374 gr C varmestrøm gennem element element -1,83 W Varmestrøm gennem teglvæg U teglvæg 1,29 tinde 25 teglvæg 4,13 W

BILAG 13: BEREGNING AF EFFEKTER OG LUFTSTRØMME m. høj acceptabel temperaturforskel pr m2 17 bygning 0,4 det vil medføre en temperatur stigning op gennem hulrummet på 6,8 Vandindhold Densitet I Indetemperatur 20 25 30 luftmasse strøm luftvolumen luftmasse effekt til hulrum strøm luftvolumen effekt til hulrum effekt til hulrum teglvæg element teglvæg element teglvæg element luftmasse strøm luftvolumen udetemperatur g H2O /kg luft kg/m 3 kj/kg K W W kg/s m3/s W W kg/s m3/s W W kg/s m3/s 10 (80%RF) 4,13 6,94 10,58 6,94 17,04 6,94 tou=48,664 11,07 2,14 2,59 17,52 3,39 4,11 23,98 4,64 5,62 5 1,21 12,9074 15 (80%RF) -2,32 7,07 4,13 7,07 10,58 7,07 tou=51,482 4,75 0,55 0,67 11,2 1,29 1,57 17,65 2,04 2,47 8,5 1,214 21,6609 20 (80%RF) -8,78 6,89-2,32 6,89 4,13 6,89 tou=55,504-1,89-0,16-0,19 4,57 0,38 0,46 11,02 0,92 1,12 11,8 1,217 29,9142

BILAG 13: BEREGNING AF EFFEKTER OG LUFTSTRØMME m. høj acceptabel temperaturforskel pr m 6 bygning 0,4 det vil medføre en temperatur stigning op gennem hulrummet på 2,4 vandindhold Densitet I Indetemperatur 20 25 30 luftmasse strøm luftvolumen luftmasse effekt til hulrum strøm luftvolumen effekt til hulrum effekt til hulrum teglvæg element teglvæg element teglvæg element luftmasse strøm luftvolumen udetemperatur g H2O /kg luft kg/m 3 kj/kg K W W kg/s m3/s W W kg/s m3/s W W kg/s m3/s 10 (80%RF) 9,81 8,18 16,26 8,18 22,72 8,18 tou=48,664 10 1,94 2,34 24,44 4,73 5,73 30,9 5,98 7,24 5 1,21 12,9074 15 (80%RF) 3,36 8,01 9,81 8,01 16,26 8,01 tou=51,482 11,37 1,31 1,59 17,82 2,06 2,50 24,27 2,80 3,40 8,5 1,214 21,6609 20 (80%RF) -3,1 7,84 3,36 7,84 9,81 7,84 tou=54,269 4,74 0,40 0,48 11,2 0,94 1,14 17,65 1,48 1,79 11,8 1,217 29,9142