Hygrothermal Design of Connections in Wall Systems Insulated from the Inside in Historic Building

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Cumulative results of corner calculations

Thermal resistance of insulation R [(m2·K)/W]	Thermal coupling coefficient Le2D [W/(m2·K)]		Linear thermal transmittance coefficient ψe[W/(m·K)]
	Insulated corner	Partially insulated corner	Insulated corner	Partially insulated corner
0	2.952	2.952	-0.578	-0.578
0.5	1.672	2.230	-0.460	-0.634
1.0	1.201	2.015	-0.385	-0.599
1.5	0.932	1.882	-0.330	-0.471
2.0	0.758	1.787	-0.290	-0.459
2.5	0.626	1.707	-0.270	-0.464
3.0	0.552	1.655	-0.230	-0.458

Summary of surface temperature values and fRsi factor at places T1D/T2D/T3D for variants of the W1÷W5 system

	Temperature [°C]					Factor fRsi [–]
	W1	W2	W3	W4	W5	W1	W2	W3	W4	W5
T1_g	8.49	8.41	16.90	17.02	16.98	0.712	0.710	0.923	0.925	0.925
T2_g	2.13	9.90	14.10	14.32	13.48	0.553	0.748	0.853	0.858	0.837
T3_g	1.14	8.47	11.20	11.27	13.23	0.529	0.648	0.780	0.782	0.831
T3_d	–4.21	–4.19	0.00	–5.14	11.69	0.395	0.442	0.475	0.372	0.792

Differences in surface temperature values of the tested corner systems

	Surface temperature difference ΔT[°C]
	Sp3–Sp1	Sp3–Sp2	Sp2–Sp1
Historic building	4.3	3.4	0.9
Historic building with thermal insulation of the envelopes	4.7	3.1	1.6

List of thermal and moisture parameters for the wall S1

No.	Layer	Thickness d[m]	Density [kg/m3]	Thermal conductivity index λ [W/(m·K)]	Diffusion resistance factor μ [–]
1.	Solid brick on cement-lime mortar	0.38	1800	0.60	15.0
2.	Leveling layer of cement-lime plaster	0.015	1900	0.80	19.0
3.	System adhesive mortar	0.01	833	0.015	15.1
4.	Lightweight cellular concrete slabs	0.10	115	0.04	4.1
5.	System finishing layer	0.01	833	0.015	15.1

Thermal conductivity of the materials used to build the model

	Brick wall	Plaster	Thermal insulation	Wooden beam	Plaster boardd	OSB plate
λ	0.77	1.00	0.04	0.16/0.13	0.32	0.13
d [m]	0.38/0.25	0.15	0.10	0.14×0.20	0.0125	0.02

Temperature values at the points W4 and W4_1 indicated on the details

Location	Temperature at point [°C]
		Variant W4_1	Variant W4
Beam support	T1	–13.42	–2.26
	T2	–14.6	–6.67
	T3	–8.52	–6.47
	T4	9.23	10.52
	T5	15.53	–
	T6	14.45	14.88
Node 3D_ (bottom)	T1	16.80	4.06
	T2	13.72	–1.93
	T3	5.92	–5.14
Node 3D_ (top)	T1	16.99	17.02
	T2	14.38	14.32
	T3	10.71	11.27