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Finite cylinder-source model for energy pile heat exchangers: Effects of thermal storage and vertical temperature variations

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  • Bandos, Tatyana V.
  • Campos-Celador, Álvaro
  • López-González, Luis M.
  • Sala-Lizarraga, José M.

Abstract

A mean integral solution to the FCS (finite cylindrical source) model for ground heat exchangers that takes into account the heat capacity inside the borehole or foundation and allows estimation of temperature field for an arbitrary borehole configuration is presented as a single integral. Approximate expressions for the average temperature over a wide range of time values are derived analytically in the vicinity of both sides of the finite cylindrical surface of heat source. Exact and approximate results for the mean temperature are compared to those calculated at the mid-depth from the exact solution of the same FCS model.

Suggested Citation

  • Bandos, Tatyana V. & Campos-Celador, Álvaro & López-González, Luis M. & Sala-Lizarraga, José M., 2014. "Finite cylinder-source model for energy pile heat exchangers: Effects of thermal storage and vertical temperature variations," Energy, Elsevier, vol. 78(C), pages 639-648.
    • Handle: RePEc:eee:energy:v:78:y:2014:i:c:p:639-648
    DOI: 10.1016/j.energy.2014.10.053
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    References listed on IDEAS

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    5. Loveridge, Fleur & Powrie, William, 2013. "Temperature response functions (G-functions) for single pile heat exchangers," Energy, Elsevier, vol. 57(C), pages 554-564.
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    3. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "A finite line source model with Cauchy-type top boundary conditions for simulating near surface effects on borehole heat exchangers," Energy, Elsevier, vol. 98(C), pages 50-63.
    4. Gao, Jiajia & Li, Anbang & Xu, Xinhua & Gang, Wenjie & Yan, Tian, 2018. "Ground heat exchangers: Applications, technology integration and potentials for zero energy buildings," Renewable Energy, Elsevier, vol. 128(PA), pages 337-349.
    5. Somogyi, Viola & Sebestyén, Viktor & Nagy, Georgina, 2017. "Scientific achievements and regulation of shallow geothermal systems in six European countries – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P2), pages 934-952.
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    7. Alberdi-Pagola, Maria & Poulsen, Søren Erbs & Loveridge, Fleur & Madsen, Søren & Jensen, Rasmus Lund, 2018. "Comparing heat flow models for interpretation of precast quadratic pile heat exchanger thermal response tests," Energy, Elsevier, vol. 145(C), pages 721-733.
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    9. Shen, Junhao & Zhou, Chaohui & Luo, Yongqiang & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Ling, Zhang, 2023. "Comprehensive thermal performance analysis and optimization study on U-type deep borehole ground source heat pump systems based on a new analytical model," Energy, Elsevier, vol. 274(C).
    10. Fadejev, Jevgeni & Simson, Raimo & Kurnitski, Jarek & Haghighat, Fariborz, 2017. "A review on energy piles design, sizing and modelling," Energy, Elsevier, vol. 122(C), pages 390-407.
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    12. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.

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