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Modelling earth-to-air heat exchanger behaviour with the convolutive response factors method

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  • Tittelein, Pierre
  • Achard, Gilbert
  • Wurtz, Etienne

Abstract

This paper shows a new numerical model of earth-to-air heat exchanger. The system is discretized into "n" sections perpendicular to the exchanger pipe. In each section, the problem of conduction is solved using response factors method in order to reduce computational time. Each response factor is calculated using a finite elements program that solves 2D conduction problems. The particularity of this problem is that the time-constants are very high, making it impossible to use conventional properties of response factors to reduce the number of calculations. We will set out a new approach to solve this particular problem. Heat flux entering the pipe is then expressed as a function of the temperature of the air crossing the pipe and the external solicitations. A heat balance is then applied for each layer to find the resulting outlet air temperature. The model is then compared to an analytical model and a 3D model based on the dynamic finite volume approach. Finally an example of coupling between an earth-to-air heat exchanger and a low-consumption building is presented.

Suggested Citation

  • Tittelein, Pierre & Achard, Gilbert & Wurtz, Etienne, 2009. "Modelling earth-to-air heat exchanger behaviour with the convolutive response factors method," Applied Energy, Elsevier, vol. 86(9), pages 1683-1691, September.
    • Handle: RePEc:eee:appene:v:86:y:2009:i:9:p:1683-1691
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    Cited by:

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    14. Soni, Suresh Kumar & Pandey, Mukesh & Bartaria, Vishvendra Nath, 2015. "Ground coupled heat exchangers: A review and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 47(C), pages 83-92.
    15. Wei, Haibin & Yang, Dong & Du, Jinhui & Guo, Xin, 2021. "Field experiments on the effects of an earth-to-air heat exchanger on the indoor thermal environment in summer and winter for a typical hot-summer and cold-winter region," Renewable Energy, Elsevier, vol. 167(C), pages 530-541.
    16. Mihalakakou, Giouli & Souliotis, Manolis & Papadaki, Maria & Halkos, George & Paravantis, John & Makridis, Sofoklis & Papaefthimiou, Spiros, 2022. "Applications of earth-to-air heat exchangers: A holistic review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 155(C).
    17. Ozgener, Onder & Ozgener, Leyla & Goswami, D. Yogi, 2017. "Seven years energetic and exergetic monitoring for vertical and horizontal EAHE assisted agricultural building heating," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 175-179.
    18. Badescu, Viorel & Isvoranu, Dragos, 2011. "Pneumatic and thermal design procedure and analysis of earth-to-air heat exchangers of registry type," Applied Energy, Elsevier, vol. 88(4), pages 1266-1280, April.
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    20. Taurines, Kevin & Giroux-Julien, Stéphanie & Farid, Mohammed & Ménézo, Christophe, 2021. "Numerical modelling of a building integrated earth-to-air heat exchanger," Applied Energy, Elsevier, vol. 296(C).

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