Abstract
In this work, we study the two most used mathematical models (Phillip & De Vries model and Kunzel’s model) which describe heat and moisture transfers in porous building materials. These models were implemented in COMSOL Multiphysics and solved numerically with the finite elements method. To validate the representation of the physical phenomena made by the numerical models, results were compared with data obtained by Wufi using a concrete wall. The results indicate that values estimated by both models are relatively in good agreement with those obtained by Wufi especially for temperature, while in humidity variations an underestimation by Phillip and De Vries model was Highlighted. Consequently, results confirm the suitability of these models to be used in further studies in order to predict hygrothermal behaviors of bio-based building materials and walls under various thermal and hygric conditions at different scales.
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Abbreviations
- \( b \) :
-
moisture supplement (%/%)
- \( c_{0} \) :
-
material specific heat at dry state (J/kgK)
- \( c_{l} \) :
-
liquid specific heat (J/kgK)
- \( c_{v} \) :
-
vapor specific heat (J/kgK)
- \( D_{l,\varphi } \) :
-
liquid transport coefficient under relative humidity gradient (kg/ms)
- \( D_{T} \) :
-
mass transport coefficient under thermal gradient (m2/Ks)
- \( D_{T,v} \) :
-
vapor transport coefficient under thermal gradient (m2/Ks)
- \( D_{T,l} \) :
-
liquid transport coefficient under thermal gradient (m2/Ks)
- \( D_{w} \) :
-
mass transport coefficient under water content gradient (m2/s)
- \( D_{w,v} \) :
-
vapor transport coefficient under water content gradient (m2/s)
- \( D_{w,l} \) :
-
liquid transport coefficient under water content gradient (m2/s)
- \( G_{\varOmega } \) :
-
vapor flux at the boundary surface (kg/m2s)
- \( h \) :
-
convective heat transport coefficient (W/m2K)
- \( l_{v} \) :
-
latent heat of vaporization (J/kg)
- \( Q_{\varOmega } \) :
-
heat flux at the boundary surface (W/m2)
- \( t \) :
-
time (s)
- \( T \) :
-
temperature (K)
- \( p_{sat} \) :
-
vapor saturation pressure (Pa)
- \( w \) :
-
water content (kg/m3)
- \( \beta \) :
-
water vapor transfer coefficient (kg/m2sPa)
- \( \delta \) :
-
water vapor permeability of the material (kg/msPa)
- \( \delta_{a} \) :
-
water vapor permeability of air (kg/msPa)
- \( \xi_{\varphi } \) :
-
hygric capacity (kg/m3 %)
- \( \lambda \) :
-
thermal conductivity (W/mK)
- \( \rho_{0} \) :
-
material density at dry state (kg/m3)
- \( \rho_{l} \) :
-
liquid water density (kg/m3)
- \( \varphi \) :
-
relative humidity (%)
- \( 0 \) :
-
at dry state
- \( amb \) :
-
ambient
- \( \varOmega \) :
-
at boundaries
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Acknowledgements
This research was conducted with financial support of PHC TASSILI Project 16MDU976.
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Alioua, T., Agoudjil, B., Boudenne, A. (2019). Numerical Study of Heat and Moisture Transfers for Validation on Bio-Based Building Materials and Walls. In: Abdel Wahab, M. (eds) Proceedings of the 1st International Conference on Numerical Modelling in Engineering . NME 2018. Lecture Notes in Civil Engineering , vol 20. Springer, Singapore. https://doi.org/10.1007/978-981-13-2405-5_7
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