Thermal Bridge Heat Transfer & Vapour Diffusion Simulation Program AnTherm Version 6.115 - 10.137

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Basics and Some Theory of AnTherm

Weighting Factors

The air temperatures set in the spaces adjacent to a building component all contribute to the temperature distribution resulting within the component. Therefore, the specific temperature, T, at any given point in a model can also be described as the result of all the space temperatures, T0 through Tn, weighted for the specific position and summed:

T = g0•T0 + g1•T1 + … gn•Tn

g-values The set of weighting factors, g0 through gn, must be determined for each point of the model to be considered more closely. These so-called g-values are normalised such that their sum is equal to one.

If all the interior spaces are set at the same temperature (Ti for T1 through Tn), and T0 is defined as the exterior temperature (Te), then the equation above can be simplified to

T = g0•Te + (1 − g0)•Ti

and re-written as

T = Ti − g0• ( Ti − Te )

In this case, g0 represents a generalised version of the f-value familiar from the evaluation of surface temperatures for one-dimensional heat flow (based on U-values). Contrary to a conventional f-value, which applies to the entire interior surface plane, the g-value above is only valid for a specific point of a thermal bridge.

Once g-values have been characterised for the coldest points of all interior surfaces, however, the temperatures resulting at these points can be evaluated as simply as with the one-dimensional method.

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