ISO 10211:2007 Thermal bridges in building construction. Test case A.2 validation

QuickField simulation example

QuickField validation of the test case A.2 presented in ISO 10211:2007 Thermal bridges in building construction.

Problem Type
Plane-parallel problem of heat transfer.

Geometry

all length units are in millimeters.

Given
Thermal conductivity of slab λ₁ = 1.15 W/K-m.
Thermal conductivity of insulation λ₂ = 0.12 W/K-m.
Thermal conductivity of air λ₃ = 0.029 W/K-m.
Thermal conductivity of metal λ₄ = 230 W/K-m.

Task
The concrete slab is insulated from the metal beam by the insulation layer. Determine the flux and the temperature distribution in the reference points (every corner).

Solution
Only half of the model is presented due to symmetry (as recommended in the ISO standard). Air contact surface thermal resistance R_s is caused by the convection.
The convection coefficient value is reciprocal to the surface resistance value:
α_surf.ext = 1/0.06 W/(K·m²),
α_surf.int = 1/0.11 W/(K·m²).

Results
Temperature distribution in media:

Temperature calculated in QuickField is presented in the table below (reference temperatures are in the brackets). To comply with the ISO 10211:2007 the difference between calculated and reference temperature should be less than 0.1°K. This simulation accuracy complies with the requirements of ISO 10211:2007.

Reference: * ISO 10211:2007(en) Thermal bridges in building construction - Heat flows and surface temperatures - Detailed calculations.

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