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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.

Engineering question

How to find thermal bridge heat flow iso 10211 case a.2?

Engineering answer
Set up a plane-parallel QuickField Steady-state Heat Transfer problem for ISO 10211 case A.2 thermal bridge validation and evaluate heat flow from computed field results.

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Typical applications
building thermal bridges, wall junction regions, structural insulation junctions

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

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Simulation problem

Problem Type
Plane-parallel problem of heat transfer.

Geometry
Slot embedded conductor A solid copper conductor embedded in the slot of an electric machine carries a current. Metal Concrete slab Insulation Air External surface: T = 0°C, R = 0.06 m²K/m Internal surface: T = +20°C, R = 0.11 m²K/m 5 1.5 6 33.5 mm 13.5 mm 500 mm

Given
Thermal conductivity of materials:
concrete slab - 1.15 W/K*m,
insulation - 0.12 W/K*m,
air - 0.029 W/K*m,
metal - 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 Rs is caused by the convection.
The convection coefficient value is reciprocal to the surface resistance value:
αsurf.ext = 1/0.06 W/(K·m²),
αsurf.int = 1/0.11 W/(K·m²).

Results
Temperature distribution in media:
EN ISO 10211:2007 test case 2 heat flux

Heat flux:
Bottom (in) 9.4968 W
Top (out) 9.4937 W
Theory 9.5 W

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.

(x,y)[m] T [°C]

A [0, 0.0475]

7.06 (7.1)

B [0.5, 0.0475]

0.76 (0.8)

C [0.0, 0.0415]

7.90(7.9)

D [0.015, 0.0415]

6.27 (6.3)

E [0.5, 0.0415]

0.83 (0.8)

F [0.0, 0.0365]

16.41 (16.4)

G [0.015, 0.0365]

16.33 (16.3)

H [0.0, 0.0]

16.77 (16.8)

I [0.5, 0.0]

18.33 (18.3)

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

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