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Short-term behavior of classical analytic solutions for the design of ground-source heat pumps

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  • Lamarche, Louis

Abstract

Over the years several methods have been proposed to simulate and design the earth heat exchanger for a ground-source heat pump (GSHP) system. Some of these methods are based on numerical techniques while others rely on analytic solutions. Among the latter, two classical solutions have been extensively used over the years, the infinite line source (ILS) solution and the infinite cylindrical source (ICS). These solutions were known to overestimate the fluid temperature when the time scale is important and are valid only in a time range between a minimum and a maximum value which are often adequate for must design applications. It is usually accepted that for small Fourier numbers, the ICS solution should be used instead of the ILS. This paper revisits the short-term behavior of these solutions and we arrive at different conclusions than those usually accepted in the literature if the Fourier number is based on the borehole radius, which is normally the case. The reasons for these discrepancies are discussed and several options are proposed.

Suggested Citation

  • Lamarche, Louis, 2013. "Short-term behavior of classical analytic solutions for the design of ground-source heat pumps," Renewable Energy, Elsevier, vol. 57(C), pages 171-180.
    • Handle: RePEc:eee:renene:v:57:y:2013:i:c:p:171-180
    DOI: 10.1016/j.renene.2013.01.045
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    References listed on IDEAS

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    1. Pasquier, Philippe & Marcotte, Denis, 2012. "Short-term simulation of ground heat exchanger with an improved TRCM," Renewable Energy, Elsevier, vol. 46(C), pages 92-99.
    2. Marcotte, D. & Pasquier, P. & Sheriff, F. & Bernier, M., 2010. "The importance of axial effects for borehole design of geothermal heat-pump systems," Renewable Energy, Elsevier, vol. 35(4), pages 763-770.
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    2. Anjan Rao Puttige & Staffan Andersson & Ronny Östin & Thomas Olofsson, 2020. "A Novel Analytical-ANN Hybrid Model for Borehole Heat Exchanger," Energies, MDPI, vol. 13(23), pages 1-19, November.
    3. Sangwoo Park & Seokjae Lee & Hyobum Lee & Khanh Pham & Hangseok Choi, 2016. "Effect of Borehole Material on Analytical Solutions of the Heat Transfer Model of Ground Heat Exchangers Considering Groundwater Flow," Energies, MDPI, vol. 9(5), pages 1-19, April.
    4. Pärisch, Peter & Mercker, Oliver & Oberdorfer, Phillip & Bertram, Erik & Tepe, Rainer & Rockendorf, Gunter, 2015. "Short-term experiments with borehole heat exchangers and model validation in TRNSYS," Renewable Energy, Elsevier, vol. 74(C), pages 471-477.
    5. Yu, Xiaohui & Li, Hongwei & Yao, Sheng & Nielsen, Vilhjalmur & Heller, Alfred, 2020. "Development of an efficient numerical model and analysis of heat transfer performance for borehole heat exchanger," Renewable Energy, Elsevier, vol. 152(C), pages 189-197.
    6. Paolo Conti, 2016. "Dimensionless Maps for the Validity of Analytical Ground Heat Transfer Models for GSHP Applications," Energies, MDPI, vol. 9(11), pages 1-21, October.
    7. Pouloupatis, Panayiotis D. & Tassou, Savvas A. & Christodoulides, Paul & Florides, Georgios A., 2017. "Parametric analysis of the factors affecting the efficiency of ground heat exchangers and design application aspects in Cyprus," Renewable Energy, Elsevier, vol. 103(C), pages 721-728.
    8. Tye-Gingras, Maxime & Gosselin, Louis, 2014. "Generic ground response functions for ground exchangers in the presence of groundwater flow," Renewable Energy, Elsevier, vol. 72(C), pages 354-366.
    9. Ikeda, Shintaro & Choi, Wonjun & Ooka, Ryozo, 2017. "Optimization method for multiple heat source operation including ground source heat pump considering dynamic variation in ground temperature," Applied Energy, Elsevier, vol. 193(C), pages 466-478.
    10. Lei, Fei & Hu, Pingfang & Zhu, Na & Wu, Tianhua, 2015. "Periodic heat flux composite model for borehole heat exchanger and its application," Applied Energy, Elsevier, vol. 151(C), pages 132-142.
    11. Park, Sangwoo & Lee, Dongseop & Lee, Seokjae & Chauchois, Alexis & Choi, Hangseok, 2017. "Experimental and numerical analysis on thermal performance of large-diameter cast-in-place energy pile constructed in soft ground," Energy, Elsevier, vol. 118(C), pages 297-311.
    12. Ghasemi-Fare, Omid & Basu, Prasenjit, 2016. "Predictive assessment of heat exchange performance of geothermal piles," Renewable Energy, Elsevier, vol. 86(C), pages 1178-1196.

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