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Modeling the Temperature Field in the Ground with an Installed Slinky-Coil Heat Exchanger

Author

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  • Monika Gwadera

    (Faculty of Chemical Engineering and Technology, Cracow University of Technology, 31-155 Krakow, Poland)

  • Krzysztof Kupiec

    (Faculty of Chemical Engineering and Technology, Cracow University of Technology, 31-155 Krakow, Poland)

Abstract

In order to find the temperature field in the ground with a heat exchanger, it is necessary to determine temperature responses of the ground caused by heat sources and the influence of the environment. To determine the latter, a new model of heat transfer in the ground under natural conditions was developed. The heat flux of the evaporation of moisture from the ground was described by the relationship taking into account the annual amount of rainfall. The analytical solution for the equations of this model is presented. Under the conditions for which the calculations were performed, the following data were obtained: the average ground surface temperature T sm = 10.67 °C, the ground surface temperature amplitude A s = 13.88 K, and the phase angle P s = 0.202 rad. This method makes it possible to easily determine the undisturbed ground temperature at any depth and at any time. This solution was used to find the temperature field in the ground with an installed slinky-coil heat exchanger that consisted of 63 coils. The results of calculations according to the presented model were compared with the results of measurements from the literature. The 3D model for the ground with an installed heat exchanger enables the analysis of the influence of miscellaneous parameters of the process of extracting or supplying heat from/to the ground on its temperature field.

Suggested Citation

  • Monika Gwadera & Krzysztof Kupiec, 2021. "Modeling the Temperature Field in the Ground with an Installed Slinky-Coil Heat Exchanger," Energies, MDPI, vol. 14(13), pages 1-20, July.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:13:p:4010-:d:587923
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    References listed on IDEAS

    as
    1. Larwa, Barbara & Cesari, Silvia & Bottarelli, Michele, 2021. "Study on thermal performance of a PCM enhanced hydronic radiant floor heating system," Energy, Elsevier, vol. 225(C).
    2. Jun-Seo Jeon & Seung-Rae Lee & Min-Jun Kim & Seok Yoon, 2018. "Suggestion of a Scale Factor to Design Spiral-Coil-Type Horizontal Ground Heat Exchangers," Energies, MDPI, vol. 11(10), pages 1-16, October.
    3. Pavel Neuberger & Radomír Adamovský, 2017. "Analysis of the Potential of Low-Temperature Heat Pump Energy Sources," Energies, MDPI, vol. 10(11), pages 1-14, November.
    4. Tang, Fujiao & Nowamooz, Hossein, 2020. "Outlet temperatures of a slinky-type Horizontal Ground Heat Exchanger with the atmosphere-soil interaction," Renewable Energy, Elsevier, vol. 146(C), pages 705-718.
    5. Xiong, Zeyu & Fisher, Daniel E. & Spitler, Jeffrey D., 2015. "Development and validation of a Slinky™ ground heat exchanger model," Applied Energy, Elsevier, vol. 141(C), pages 57-69.
    6. Monika Gwadera & Barbara Larwa & Krzysztof Kupiec, 2017. "Undisturbed Ground Temperature—Different Methods of Determination," Sustainability, MDPI, vol. 9(11), pages 1-14, November.
    7. Pavel Pauli & Pavel Neuberger & Radomír Adamovský, 2016. "Monitoring and Analysing Changes in Temperature and Energy in the Ground with Installed Horizontal Ground Heat Exchangers," Energies, MDPI, vol. 9(8), pages 1-13, July.
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    Cited by:

    1. Piotr Michalak, 2022. "Hourly Simulation of an Earth-to-Air Heat Exchanger in a Low-Energy Residential Building," Energies, MDPI, vol. 15(5), pages 1-23, March.
    2. Tomasz Janusz Teleszewski & Dorota Anna Krawczyk & Jose María Fernandez-Rodriguez & Angélica Lozano-Lunar & Antonio Rodero, 2022. "The Study of Soil Temperature Distribution for Very Low-Temperature Geothermal Energy Applications in Selected Locations of Temperate and Subtropical Climate," Energies, MDPI, vol. 15(9), pages 1-19, May.

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