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Effect of Borehole Material on Analytical Solutions of the Heat Transfer Model of Ground Heat Exchangers Considering Groundwater Flow

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  • Sangwoo Park

    (School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Korea)

  • Seokjae Lee

    (School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Korea)

  • Hyobum Lee

    (School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Korea)

  • Khanh Pham

    (School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Korea)

  • Hangseok Choi

    (School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Korea)

Abstract

Groundwater flow is one of the most important factors for the design of a ground heat exchanger (GHEX) since the thermal environment of the ground around the buried GHEX is significantly affected by heat convection due to the groundwater flow. Several preceding studies have been conducted to develop analytical solutions to the heat transfer model of GHEX with consideration of groundwater flow. One of these solutions is the combined heat transfer model of conduction and convection. However, the developed combined analytical models are inapplicable to all of the configurations of ordinary GHEXs because these solutions assume that the inner part of the borehole is thermally inert or consists of the same material as that of the surrounding ground. In this paper, the applicability of the combined solid cylindrical heat source model, which is the most suitable to energy piles until now, was evaluated by performing a series of numerical analyses. In the numerical analysis, the inner part of the borehole was modeled as two different materials ( i.e. , permeable ground formation and impermeable fill such as concrete) to evaluate applicability of the analytical solution along with different diameter-length (D/L) ratios of borehole. In a small value of the D/L ratio, the analytical solution to the combined heat transfer model is in good agreement with the result of numerical analysis. On the other hand, when increasing the D/L ratio, the analytical solution significantly overestimates the effect of groundwater flow on the heat transfer of GHEXs because the analytical solution disregards the existence of the impermeable region in the borehole. Consequently, such tendency is more critical in the GHEX with a large D/L ratio such as large-diameter energy piles.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jeners:v:9:y:2016:i:5:p:318-:d:68881
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    References listed on IDEAS

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    Cited by:

    1. Oh, Kwanggeun & Lee, Seokjae & Park, Sangwoo & Han, Shin-In & Choi, Hangseok, 2019. "Field experiment on heat exchange performance of various coaxial-type ground heat exchangers considering construction conditions," Renewable Energy, Elsevier, vol. 144(C), pages 84-96.
    2. Joanna Piotrowska-Woroniak, 2021. "Determination of the Selected Wells Operational Power with Borehole Heat Exchangers Operating in Real Conditions, Based on Experimental Tests," Energies, MDPI, vol. 14(9), pages 1-21, April.
    3. Park, Sangwoo & Lee, Seokjae & Sung, Chihun & Choi, Hangseok, 2021. "Applicability evaluation of cast-in-place energy piles based on two-year heating and cooling operation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 143(C).
    4. Dan Zhang & Yian Wang & Jian Cheng, 2017. "Internal Force Response of a Pile in an Inhomogeneous Temperature Field," Energies, MDPI, vol. 11(1), pages 1-9, December.
    5. Park, Sangwoo & Lee, Seokjae & Park, Sangyeong & Choi, Hangseok, 2022. "Empirical formulas for borehole thermal resistance of parallel U-type cast-in-place energy pile," Renewable Energy, Elsevier, vol. 197(C), pages 211-227.
    6. Joanna Piotrowska-Woroniak, 2021. "Assessment of Ground Regeneration around Borehole Heat Exchangers between Heating Seasons in Cold Climates: A Case Study in Bialystok (NE, Poland)," Energies, MDPI, vol. 14(16), pages 1-32, August.
    7. Lee, Seokjae & Park, Sangwoo & Kang, Minkyu & Oh, Kwanggeun & Choi, Hangseok, 2022. "Effect of tube-in-tube configuration on thermal performance of coaxial-type ground heat exchanger," Renewable Energy, Elsevier, vol. 197(C), pages 518-527.
    8. Pan, Aiqiang & McCartney, John S. & Lu, Lin & You, Tian, 2020. "A novel analytical multilayer cylindrical heat source model for vertical ground heat exchangers installed in layered ground," Energy, Elsevier, vol. 200(C).

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