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A modified three-dimensional numerical model for predicting the short-time-step performance of borehole ground heat exchangers

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  • Lee, C.K.

Abstract

A modified three-dimensional numerical model for the borehole ground heat exchangers was proposed which took into account the effect of grout thermal capacitance and fluid circulation period inside the U-tube in a short-time-step analysis. The present model was validated by experimental data from others. It was found that the fluid temperature along the U-tube changed abruptly at the interface between the entering and the existing fluid inside the borehole. Before the entering fluid travelled to the bottom of the U-tube, the borehole was only partly-loaded. The difference in the simulated fluid leaving temperatures between the long- and short-time-step approaches could be up to 3 °C when a periodic intermittent load, common during the low-load season, was applied. This implied that a short-time-step model should be used in a long-term dynamic system simulation.

Suggested Citation

  • Lee, C.K., 2016. "A modified three-dimensional numerical model for predicting the short-time-step performance of borehole ground heat exchangers," Renewable Energy, Elsevier, vol. 87(P1), pages 618-627.
  • Handle: RePEc:eee:renene:v:87:y:2016:i:p1:p:618-627
    DOI: 10.1016/j.renene.2015.10.052
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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. Zarrella, Angelo & Scarpa, Massimiliano & De Carli, Michele, 2011. "Short time step analysis of vertical ground-coupled heat exchangers: The approach of CaRM," Renewable Energy, Elsevier, vol. 36(9), pages 2357-2367.
    3. Lee, C.K. & Lam, H.N., 2008. "Computer simulation of borehole ground heat exchangers for geothermal heat pump systems," Renewable Energy, Elsevier, vol. 33(6), pages 1286-1296.
    4. Saner, Dominik & Juraske, Ronnie & Kübert, Markus & Blum, Philipp & Hellweg, Stefanie & Bayer, Peter, 2010. "Is it only CO2 that matters? A life cycle perspective on shallow geothermal systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(7), pages 1798-1813, September.
    5. Lee, C.K. & Lam, H.N., 2012. "A modified multi-ground-layer model for borehole ground heat exchangers with an inhomogeneous groundwater flow," Energy, Elsevier, vol. 47(1), pages 378-387.
    6. Ruiz-Calvo, F. & De Rosa, M. & Acuña, J. & Corberán, J.M. & Montagud, C., 2015. "Experimental validation of a short-term Borehole-to-Ground (B2G) dynamic model," Applied Energy, Elsevier, vol. 140(C), pages 210-223.
    7. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
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    Cited by:

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    3. Cerfontaine, B. & Radioti, G. & Collin, F. & Charlier, R., 2016. "Formulation of a 1D finite element of heat exchanger for accurate modelling of the grouting behaviour: Application to cyclic thermal loading," Renewable Energy, Elsevier, vol. 96(PA), pages 65-79.
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    5. Dehghan B., Babak & Kukrer, Ergin, 2017. "A new 1D analytical model for investigating the long term heat transfer rate of a borehole ground heat exchanger by Green's function method," Renewable Energy, Elsevier, vol. 108(C), pages 615-621.

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