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Main >> Applications >> Sample problems >> Thermal transmittance in frames. Test case D.1 validation

ISO 10077-2:2012 Test case D.1 - Aluminium frame section with thermal break and insulation panel

QuickField simulation example

QuickField simulation of the test case "D.1. Aluminium frame section with thermal break and insulation panel" presented in ISO 10077-2:2012*

Problem Type
Plane-parallel problem of heat transfer.

Geometry
ISO 10077-2:2012 Test case D.1 - Aluminium frame section with thermal break and insulation panel Calculate two-dimensional thermal conductance T = +20°C, Rs = 0.13 m²K/W T = 0°C, Rs = 0.04 m²K/W Aluminium Air Polyamide EPDM Insulation panel 110 mm 63 mm 28 mm Zero thermal flux

Frame width b = 110 mm

Given
Thermal conductivity of EPDM, λ1 = 0.25 W/K-m.
Thermal conductivity of polyamide 6.6 with 25% glass fiber, λ2 = 0.30 W/K-m.
Thermal conductivity of insulation panel, λ3 = 0.035 W/K-m.
Thermal conductivity of aluminium, λ4 = 160 W/K-m.

Task
Calculate two-dimensional thermal conductance L2D in accordance with ISO 10077-2:2012*.
Reference thermal conductance L2D = 0.550 W/K-m.

Solution
Air contact surface thermal resistance Rs is caused by convention mechanism of heat transfer (contrary to conductivity mechanism in case of two solid bodies in contact).
The convection coefficient value is reciprocal to the surface resistance value:
α20 = 1/0.13 W/(K·m²),
α0 = 1/0.04 W/(K·m²).

Thermal conductivities of air gaps are adjusted to include the convection and radiation heat transfers in real situation, and correlated with the actual temperatures on the gap contours according to the recommendation of ISO 10077-2:2012. Equivalent air gap conductivity calculations are automated in the accompanying Excel spreadsheet.

Results
Heat flux and temperature distribution in frame section profile:
EN ISO 10077:2012 D1 heat flux

Two-dimensional thermal conductance L2D = Heat flux per meter depth / Temperature difference = 11.09 / 20 = 0.555 W/(m*K).
Difference between the calculated and reference values is less than 3%. This simulation accuracy complies with the requirements of ISO 10077-2:2012.

* ISO 10077-2:2012 Thermal performance of windows, doors and shutters -- Calculation of thermal transmittance -- Part 2: Numerical method for frames.