Sample Wall

Sample Wall with Plywood

Exterior wall, U=0,0951 W/m²K

U = 0,0951 W/m²K (Insulation) 0 EnEV Bestand*: U100

(Moisture proofing)

(Heat protection)

0% Weight-% 10% 451 g/m² (4.7%) Dries 70f days

EnEV Neubau

KfW 55

Temperature amplitude attenuation: 158.7 Phase shift: not relevant

KfW 40

KfW Einzelm.

DIN 4108-2

outside 30 16

5

303

4

11

3 2 1

89 12,5 38

6

inside 609

1 Fermacell Gypsum-Board 12,5mm (12,5 mm)

4 Climacell (Cellulose)(303 mm)

2 Mineralwool WLG032 (89 mm)

5 Plywood (16 mm)

3 OSB/3 (11 mm)

6 Air (30 mm)

Contribution of different layers to the overall insulation

Climacell (Cellulose), 30,3cm (72,7%) Heath transfer inside (1,2%) Heat transfer outside (1,2%) Sonstige (2,1%)

Mineralwool WLG032, spruce, 8,9cm (22,6%)

Inside air :

20°C / 50%

Condensate: 0,451 kg/m²

Heat capacity:

95 kJ/m²K

Outside air:

-10°C / 80%

Time to dry:

Thermal capacity inside:

46 kJ/m²K

Surface temperature.:

18,9 °C

sd-Value:

Weight:

49 kg/m²

Thickness:

46,1 cm

56 Tage 4,6 m

*Vergleich des U-Werts mit den Höchstwerten aus EnEV 2014 Anlage 3 Tabelle 1 (EnEV Bestand); mit der Referenzausführung aus EnEV 2014 Anlage 1 Tabelle 1 (EnEV Neubau) bzw. 70% / 55% dieser Werte (Neubau KfW 55 / 40); mit den techn. Mindestanforderungen für KfW Einzelmaßnahmen und mit den R-Werten aus DIN 4108-2 Tabelle 3.

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Temperature gradient / Condensing zone Temperature profile Temperature Dew point Condensate

20

Temperature [°C]

15

1

2

3

4

5 6

outside

10 5 0 -5 -10 0 Inside

100

200

300

www.u-wert.net

400

inside

500 [mm] 38

Outside

1 Fermacell Gypsum-Board 12,5mm (1 2, 3 OSB/3 (11 mm) 2 Mineralwolle WLG032 (89 mm) 4 Climacell (303 mm)

609 5 Plywood (16 mm) 6 Air (30 mm)

Left: Gradient of Temperature and Due Point in the location as marked on the right side. The due point signifies the temperature at which the water vapour condensates. As long as the temperature of the components stays above the due point temperature, no condensate (liquid water) is created. If both curves meet, water vapour will condensate to liquid water at the crossing point. Right: Scale drawing of the wall.

Layers (from inside to outside) #

1 2 3 4 5 6

λ [W/mK]

Material Thermal contact resistance* Fermacell Gipsfaser-Platte 12,5mm Mineralwolle WLG032 (60.9 cm) spruce (3.8 cm) OSB/3 Climacell Plywood Thermal contact resistance* 3 cm Air (ventilated layer) 46,15 cm Whole component 1,25 cm 8,9 cm 8,9 cm 1,1 cm 30,3 cm 1,6 cm

0,320 0,032 0,130 0,130 0,040 0,160

R [m²K/W] 0,130 0,039 2,781 0,685 0,085 7,575 0,100 0,130

Temperatur [°C] min max 18,9 20,0 18,7 19,3 11,7 19,2 13,5 18,8 11,5 13,7 -9.6 13,3 -9.9 -9.6 -10.0 -9.9 -10.0 -10.0

10,513

Weight Condensate [kg/m²] [Gew%] 14,4 1,7 2,4 6,8 15,2 9,6

0,0 0,0 0,0 0,0 3,0 4,7

0.0 50,0

*Wärmeübergangswiderstände gemäß DIN 6946 für die U-Wert-Berechnung. Für Feuchteschutz und Temperaturverlauf wurden Rsi=0.25 und Rse=0.04 gemäß DIN 4108-3 verwendet.

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Moisture proofing During the thawing period of the winter of 90 days, a total of 0.451 kg of water per square meter condensate out of the vapour within the wall. This amount of water will take 56 days to evaporate during the summer drying season (Drying season according to DIN 4108-3:2014-11), however, individual layers within the wall can be soaked very heavily. This calculation was determined using the user defined climate for the thawing period, which deviates from DIN 4108-3. #

Material

1 2

sd-Wert [m] 0,16 0,09 1,78 2,20 0,30

1,25 cm 8,9 cm 8,9 cm 1,1 cm 30,3 cm

Fermacell Gypsum-Board 12,5mm Mineralwool WLG032 (60.9 cm) spruce (3.8 cm) OSB/3 Climacell ... on outer surface 1,6 cm Plywood ... on inner surface 46,15 cm Whole component

3 4 5

1,76 4,57

Condensate [kg/m²] % 0,0 0,0 0,0 0,0 0,45 3,0 0,45 0,45 4,7 0,45 0,45

Time to dry Days

Weight [kg/m²] 14,4 1,7 2,4 6,8 15,2 9,6

56 56

50,0

Note: Condensation of more than 3% can damage continually damage specific components. To avoid moisture related damages despite larger amounts of condensation, make sure that the water can be wicked away and distributed within the component through capillary effects (the choice of material is important) and that it can evaporate quickly at the surface.

Humidity The interior wall surface temperature is 18,9 °C which correlates for a relative humidity of 54%. Under these conditions, no mould is to be expected. The following diagram shows the relative humidty within the wall element. Relative humidity (%)

100

Relative humidity (%)

90

1

2

3

4

5 outside

6

80 70 60 50 40 30 20 10 0

0 Inside

100

200

300

www.u-wert.net

400

inside

500 [mm] Outside

1 Fermacell Gypsum-Board 12,5mm (1 2, 3 OSB/3 (11 mm) 2 Mineralwool WLG032 (89 mm) 4 Climacell (303 mm)

38

609 5 Plywood (16 mm) 6 Air (30 mm)

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Heat protection For the analysis of the summer heat protection, the following temperature curves were determined within the wall on a hot summer day: Temperature profile 36 34

Temperature at 3pm, 11am and 7am 1

2

3

4

Temperature [°C]

32

5

Temperature at 7pm, 11pm and 3am 6

30

1 2 3 4 5 6

28 26 24 22

Fermacell Gypsum-Board 12,5mm (12,5 mm) Mineralwool WLG032 (89 mm) OSB/3 (11 mm) Climacell (303 mm) Plywood (16 mm) Air (30 mm)

20 18 16 14 0 Inside

50 100 150 200 250 300 350 400 450 500 [mm] www.u-wert.net Outside

[°C] 36

The surface temperature during the day Outside

34

Inside

32 30 28 26 24 22 20 18 16 14 12 13 14 15 16 17 18 19 20 21 22 23 24 1

2

3

4

5

6

7

8

9 10 11 12 [time of day]

Upper Diagram: Temperature curve inside the wall element at different times during the day. Brown lines (top to bottom): 3pm, 11am und 7am Uhr; red lines (top to bottom) 7pm, 11pm, 3am. Lower Diagram: Temperature on the outside surface (red) and inside (blue). The maximum of the inside temperature should ideally be during the second half of the night.

Phase shift* Amplitude attenuation ** TAV***

non relevant >100 0,006

Time of maximum interior temperature Thermal fluctuation on exterior surface: Temperature fluctuation on interior surface

15:00 18,2 °C 0,1 °C

* Die Phasenverschiebung gibt die Zeitdauer in Stunden an, nach der das nachmittägliche Hitzemaximum die Bauteilinnenseite erreicht. ** Die Amplitudendämpfung beschreibt die Abschwächung der Temperaturwelle beim Durchgang durch das Bauteil. Ein Wert von 10 bedeutet, dass die Temperatur auf der Außenseite 10x stärker variiert, als auf der Innenseite, z.B. außen 15-35°C, innen 24-26°C. *** Das Temperaturamplitudenverhältnis TAV ist der Kehrwert der Dämpfung: TAV = 1/Amplitudendämpfung

Die oben dargestellten Berechnungen wurden für einen 1-dimensionalen Querschnitt des Bauteils erstellt.

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