Abstract
Cold ventilated attics often have mould problems in Sweden. This is valid both for old and sometimes newly built attics. Increased insulation on the attic floor is assumed to increase the problem. To investigate this, numerical 1D models like WUFI or WUFI+ are typically used. These models give results but the physical processes are not so transparent for the user due to the complex numerical techniques involved and takes a long time to simulate. The problem is mainly related to the temperature in the attic, the ventilation rate and possible of leaks from the living space. All exposed surfaces in the attic will buffer moisture variations. But if this buffering is neglected and the leakage is treated as a constant the moisture content in the attic is only dependent on the ventilation with outside air and the assumed leakage. This would make a pure thermal investigation meaningful. An analytical model for the thermal problem was developed that took into account radiation between the interior surfaces and the different boundary conditions at the outside and inside surfaces. Using this model a parameter study of exterior roofing insulation was done using a moisture transport model that only took into account convection exchange. The results were compared with WUFI Pro and WUFI+ simulations which included the moisture exchange between air and internal surfaces. The comparison showed that the pure thermal model gave, as expected, larger variations in relative humidity, but that the results were qualitatively very similar. This indicates that analytical solutions of thermal problems can be used as a base in qualitative investigations of certain combined heat and moisture problems.
Highlights
The points of interest for mould problems in a cold attic are e.g. the attic air and the interior attic roof surface
The paper presented here deals with an analytical solution of the transient heat transfer problem of an attic based on a thermal network
The results shown in figure 9 indicates that the analytical solution (T_a) that takes into account geometry but not moisture transport, and the 1D WUFI Pro model (T_1D) which takes into account moisture transport but not the geometry are both extremes
Summary
The points of interest for mould problems in a cold attic are e.g. the attic air and the interior attic roof surface. Since even the thermal problem is quite complex given that the attic has many layers the methods used to solve the problem are typically numerical. This means that the results are based on numerical solutions of the discrete transport equations for heat and moisture in the space and time dimension. The paper presented here deals with an analytical solution of the transient heat transfer problem of an attic based on a thermal network. With this solution it is possible to do fast parameter studies with hourly climate data. This includes the effect of shortwave absorption coefficients, insulation thickness, ventilation rate etc
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