“…1 illustrates the simplified physical problem for a wall construction, with n layers of different materials. The physical model adopted considers onedimensional heat flux, similarly to the models that have been used by other authors [6,[11][12][13][14][15]17]. The most important assumptions are: (i) heat conduction takes place along the x direction with no internal heat sources or sinks present, (ii) the properties of building materials are constant, (iii) the superficial temperatures of other elements such as walls, floors, ceiling, furniture are assumed to be equal to the constant indoor air temperature, (iv) the combined surface heat transfer coefficients that account for both convection with the ambient air and radiation with the surrounding surfaces are constant, (v) the thermal contact resistance between adjacent material layers is negligible, (vi) the mass transfer through the material layers is negligible, (vii) the external surface of the envelope is completely dry and in contact with outdoor air, (viii) A c c e p t e d M a n u s c r i p t 9 there is no water vapour condensation on the inner surface of the envelope, (ix) the daily evolutions of outdoor air temperature and solar radiation do not change during the period of simulation.…”