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Analytical Mathematical Modeling of the Thermal Bridge between Reinforced Concrete Wall and Inter-Floor Slab

Author

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  • Tiziana Basiricò

    (Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy)

  • Antonio Cottone

    (Department of Architecture, University of Palermo, 90100 Palermo, Italy)

  • Daniele Enea

    (Department Unit for Energy Efficiency, Energy and Sustainable Economic Development (ENEA), Italian National Agency for New Technologies, 90100 Palermo, Italy)

Abstract

The evaluation of thermal bridges in buildings, following the UNI TS 11300-1:2014 standard, must be carried out with finite element analysis or through the use of atlases compliant with the UNI EN ISO 14683:2018. The paper illustrates the development of an analytical tool to determine the internal linear thermal transmission coefficient (ψi) for the thermal bridge between concrete wall and inter-floor slab, neglected in the main existing catalogs or atlases. This type of thermal bridge is relevant in multi-story buildings, and is typical of public housing districts built between the 1960s and 1970s throughout Europe by means of industrialized systems. Considering energy requalification, due to their low energy efficiency, these buildings require adaptation to the standards imposed by law, and this thermal bridge, which has a high percentage incidence on the total heat losses, cannot be overlooked. From the survey of a representative number of such buildings in Italy, three different technological solutions were examined, with dimensional variations in the individual technical elements and the related functional layers. The combination of these variables resulted in 216 different case studies. The analysis of the existing atlases and catalogues has demonstrated their inapplicability for the selected case studies. For each one of these, ψi was calculated, using off-the-shelf software. The correlation of the data made it possible to determine an analytical mathematical modeling process to assess heat losses due to the analyzed thermal bridge. The validity of this mathematical formula was verified by recalculating the typologies investigated, reaching an error evaluated by means of the mean square deviation equal to ±4%.

Suggested Citation

  • Tiziana Basiricò & Antonio Cottone & Daniele Enea, 2020. "Analytical Mathematical Modeling of the Thermal Bridge between Reinforced Concrete Wall and Inter-Floor Slab," Sustainability, MDPI, vol. 12(23), pages 1-21, November.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:23:p:9964-:d:452897
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    References listed on IDEAS

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    1. Baldinelli, Giorgio & Bianchi, Francesco & Rotili, Antonella & Costarelli, Danilo & Seracini, Marco & Vinti, Gianluca & Asdrubali, Francesco & Evangelisti, Luca, 2018. "A model for the improvement of thermal bridges quantitative assessment by infrared thermography," Applied Energy, Elsevier, vol. 211(C), pages 854-864.
    2. Mohamed F. Zedan & Sami Al-Sanea & Abdulaziz Al-Mujahid & Zeyad Al-Suhaibani, 2016. "Effect of Thermal Bridges in Insulated Walls on Air-Conditioning Loads Using Whole Building Energy Analysis," Sustainability, MDPI, vol. 8(6), pages 1-20, June.
    3. Theodosiou, Theodoros & Tsikaloudaki, Katerina & Kontoleon, Karolos & Giarma, Christina, 2021. "Assessing the accuracy of predictive thermal bridge heat flow methodologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 136(C).
    4. Asdrubali, Francesco & Baldinelli, Giorgio & Bianchi, Francesco & Costarelli, Danilo & Rotili, Antonella & Seracini, Marco & Vinti, Gianluca, 2018. "Detection of thermal bridges from thermographic images by means of image processing approximation algorithms," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 160-171.
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