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Convective transport from geothermal borehole heat exchangers embedded in a fluid-saturated porous medium

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  • Ravi Shanker, Ganesh
  • Homan, K.O.

Abstract

Multi-dimensional natural convection and mixed convection have been studied numerically for the vertical borehole, a heated cylinder characterized by length Lb and diameter D, of a ground source heat pump in a fluid-saturated porous medium. The effect of natural convection over a range of ground properties characterized by Rayleigh number (RaL) is found to be significant and deviates strongly from boundary layer solutions for Rayleigh number less than 106, due to the flow turning required by the ground surface. For instance, the natural convection heat flux deviates from boundary layer prediction by over 20% for RaL = 104. Only at Rayleigh numbers of less than 2 × 103 can the heat transfer be treated as simple conduction, with the deviation less than approximately 5%, for fluid-saturated soil properties. The presence of groundwater flow, due to a hydraulic gradient, produces mixed convection leading to a convective heat transfer depending also upon Peclet number (PeD). A sufficient range of properties are examined such that the multi-dimensional mixed convection is shown to be captured between asymptotes to natural and forced convection. The dimensionless group (Lb/D)PeD/RaL is identified and shown to parameterize the variation between these two limits, with values less than 1.4 asymptoting to natural convection and values greater than 2.9 asymptoting to forced convection. Finally, a correlation encompassing all three regimes, natural, forced and mixed, is proposed.

Suggested Citation

  • Ravi Shanker, Ganesh & Homan, K.O., 2022. "Convective transport from geothermal borehole heat exchangers embedded in a fluid-saturated porous medium," Renewable Energy, Elsevier, vol. 196(C), pages 328-342.
    • Handle: RePEc:eee:renene:v:196:y:2022:i:c:p:328-342
    DOI: 10.1016/j.renene.2022.06.089
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    References listed on IDEAS

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    1. Spitler, Jeffrey D. & Javed, Saqib & Ramstad, Randi Kalskin, 2016. "Natural convection in groundwater-filled boreholes used as ground heat exchangers," Applied Energy, Elsevier, vol. 164(C), pages 352-365.
    2. Choi, Jung Chan & Park, Joonsang & Lee, Seung Rae, 2013. "Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays," Renewable Energy, Elsevier, vol. 52(C), pages 230-240.
    3. Javed, Saqib & Spitler, Jeffrey, 2017. "Accuracy of borehole thermal resistance calculation methods for grouted single U-tube ground heat exchangers," Applied Energy, Elsevier, vol. 187(C), pages 790-806.
    4. Zhou, Yang & Zheng, Zhi-xiang & Zhao, Guang-si, 2022. "Analytical models for heat transfer around a single ground heat exchanger in the presence of both horizontal and vertical groundwater flow considering a convective boundary condition," Energy, Elsevier, vol. 245(C).
    5. Choi, Wonjun & Ooka, Ryozo, 2016. "Effect of natural convection on thermal response test conducted in saturated porous formation: Comparison of gravel-backfilled and cement-grouted borehole heat exchangers," Renewable Energy, Elsevier, vol. 96(PA), pages 891-903.
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