Abstract
This paper focuses on the issue of integrating two or three dimensional models of heat and moisture transfer in porous materials with whole building HAM modeling. To assess this aim, this paper proposes a reduced order model to simulate 2D Heat, air and moisture (HAM) behaviour in porous material. The reduction method used is the proper orthogonal decomposition. The method is applied on a block of concrete. Reduced order model and large original model are compared. The results illustrate the significant value of model reduction for modelling 2D heat and mass transfers. NOMENCLATURE c specific heat (J/kg K) g flow of moisture (kg/m²s) k thermal conductivity (W/m K) Kl liquid permeability (s) Lv enthalpy of evaporation/condensation (J/kg) Pv vapour pressure (Pa) Pc capillary pressure (Pa) Psₐt saturation pressure (Pa) Rv gas constant for vapour (J/kg K) RH relative humidity (%) Sh heat source (W/m³) Sm moisture source (W/m³) t time T Temperature (K) w moisture content (kg/m³) δv vapour permeability (kg/m s Pa) ⇠ moisture storage capacity ⇢l density of water (kg/m³) ⇢₀ density of material (kg/m³)
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