An analytical model for transient heat transfer with a time-dependent boundary in solar-and waste-heat-assisted geothermal borehole systems: From single to multiple boreholes

Journal article

Mohammed A Hefni, Minghan Xu, Ferri Hassani, Seyed Ali Ghoreishi-Madiseh, Haitham M Ahmed, Hussein A Saleem, Hussin AM Ahmed, Gamal SA Hassan, Khaled I Ahmed, Agus P Sasmito
Applied Sciences, vol. 11, MDPI, 2021, p. 10338

DOI: 10.3390/app112110338

Cite

APA Click to copy
Hefni, M. A., Xu, M., Hassani, F., Ghoreishi-Madiseh, S. A., Ahmed, H. M., Saleem, H. A., … Sasmito, A. P. (2021). An analytical model for transient heat transfer with a time-dependent boundary in solar-and waste-heat-assisted geothermal borehole systems: From single to multiple boreholes. Applied Sciences, 11, 10338. https://doi.org/10.3390/app112110338

Chicago/Turabian Click to copy
Hefni, Mohammed A, Minghan Xu, Ferri Hassani, Seyed Ali Ghoreishi-Madiseh, Haitham M Ahmed, Hussein A Saleem, Hussin AM Ahmed, Gamal SA Hassan, Khaled I Ahmed, and Agus P Sasmito. “An Analytical Model for Transient Heat Transfer with a Time-Dependent Boundary in Solar-and Waste-Heat-Assisted Geothermal Borehole Systems: From Single to Multiple Boreholes.” Applied Sciences 11 (2021): 10338.

MLA Click to copy
Hefni, Mohammed A., et al. “An Analytical Model for Transient Heat Transfer with a Time-Dependent Boundary in Solar-and Waste-Heat-Assisted Geothermal Borehole Systems: From Single to Multiple Boreholes.” Applied Sciences, vol. 11, MDPI, 2021, p. 10338, doi:10.3390/app112110338.

BibTeX Click to copy

@article{hefni2021a,
  title = {An analytical model for transient heat transfer with a time-dependent boundary in solar-and waste-heat-assisted geothermal borehole systems: From single to multiple boreholes},
  year = {2021},
  journal = {Applied Sciences},
  pages = {10338},
  publisher = {MDPI},
  volume = {11},
  doi = {10.3390/app112110338},
  author = {Hefni, Mohammed A and Xu, Minghan and Hassani, Ferri and Ghoreishi-Madiseh, Seyed Ali and Ahmed, Haitham M and Saleem, Hussein A and Ahmed, Hussin AM and Hassan, Gamal SA and Ahmed, Khaled I and Sasmito, Agus P}
}

In this study, an analytical model with a time-dependent heat flux boundary condition on the borehole wall is developed, capable of predicting the thermal performance of single, double, and multiple closed-loop BHEs, with an emphasis on solar- and waste-heat-assisted geothermal borehole systems (S-GBS and W-GBS) for energy storage.
This analytical framework begins with a one-dimensional transient heat conduction problem subjected to a time-dependent heat flux for a single borehole.
The single borehole scenario is then extended to multiple boreholes by exploiting lines of symmetry (or thermal superposition).
The thermal performance of S-GBS and W-GBS is compared for a 3-by-3 borehole configuration using the analytical model to ensure its versatility in thermal energy storage.
It is concluded that our proposed analytical framework can rapidly evaluate closed-loop geothermal BHEs, regardless of the numbers of boreholes and the type of the heat flux on the borehole wall.