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Finite difference modeling of heat distribution in multilayer soils with time-spatial hydrothermal properties

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  • Nowamooz, Hossein
  • Nikoosokhan, Saeid
  • Lin, Jian
  • Chazallon, Cyrille

Abstract

In this study, the heat distribution throughout the profile of unsaturated multilayered soil is determined using finite difference method while its thermal diffusivity varies with time and depth. First, the input parameters such as water content, dry density and sand content of the soil profile are provided. These data are coupled with the theoretical approaches to estimate thermal properties of soil such as thermal conductivity and thermal diffusivity of multilayered soil. Second, finite difference method is used to model heat distributions in soil profile taking into account the initial and boundary conditions. A continuity of heat flux between each layer is performed as a condition in the numerical model. A comparison of estimated temperature within time throughout the profile with the thermal probe measurements shows a satisfactory capacity of the numerical model. Finally, different cases of nonhomogeneous and homogeneous soil show that thermal response of homogeneous and nonhomogeneous soils are almost similar at average value of thermal diffusivity where hydrothermal characteristics of each soil layer (such as water content, dry density, and soil texture) are required to calculate this average value.

Suggested Citation

  • Nowamooz, Hossein & Nikoosokhan, Saeid & Lin, Jian & Chazallon, Cyrille, 2015. "Finite difference modeling of heat distribution in multilayer soils with time-spatial hydrothermal properties," Renewable Energy, Elsevier, vol. 76(C), pages 7-15.
    • Handle: RePEc:eee:renene:v:76:y:2015:i:c:p:7-15
    DOI: 10.1016/j.renene.2014.11.008
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    Cited by:

    1. Lin, Jian & Nowamooz, Hossein & Braymand, Sandrine & Wolff, Patrice & Fond, Christophe, 2020. "Impact of soil moisture on the long-term energy performance of an earth-air heat exchanger system," Renewable Energy, Elsevier, vol. 147(P2), pages 2676-2687.
    2. Tang, Fujiao & Nowamooz, Hossein, 2019. "Sensitive analysis on the effective soil thermal conductivity of the Thermal Response Test considering various testing times, field conditions and U-pipe lengths," Renewable Energy, Elsevier, vol. 143(C), pages 1732-1743.
    3. 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.
    4. Tang, F. & Lahoori, M. & Nowamooz, H. & Rosin-Paumier, S. & Masrouri, F., 2021. "A numerical study into effects of soil compaction and heat storage on thermal performance of a Horizontal Ground Heat Exchanger," Renewable Energy, Elsevier, vol. 172(C), pages 740-752.
    5. Tang, Fujiao & Nowamooz, Hossein, 2018. "Long-term performance of a shallow borehole heat exchanger installed in a geothermal field of Alsace region," Renewable Energy, Elsevier, vol. 128(PA), pages 210-222.
    6. Somogyi, Viola & Sebestyén, Viktor & Nagy, Georgina, 2017. "Scientific achievements and regulation of shallow geothermal systems in six European countries – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P2), pages 934-952.
    7. Eloisa Di Sipio & David Bertermann, 2017. "Factors Influencing the Thermal Efficiency of Horizontal Ground Heat Exchangers," Energies, MDPI, vol. 10(11), pages 1-21, November.
    8. Chalhoub, Maha & Bernier, Michel & Coquet, Yves & Philippe, Mikael, 2017. "A simple heat and moisture transfer model to predict ground temperature for shallow ground heat exchangers," Renewable Energy, Elsevier, vol. 103(C), pages 295-307.
    9. Rackes, Adams & Melo, Ana Paula & Lamberts, Roberto, 2016. "Naturally comfortable and sustainable: Informed design guidance and performance labeling for passive commercial buildings in hot climates," Applied Energy, Elsevier, vol. 174(C), pages 256-274.

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