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A new approach and results of wall and air temperature dynamic analysis in underground spaces

Author

Listed:
  • Szabó, J.
  • Kajtár, L.
  • Nyers, J.
  • Bokor, B.

Abstract

In this paper our primary aim is to define the changes of air and internal wall temperature in underground spaces in time domain. As an additional aim the change of heat flux through the wall in time domain has been calculated. Based on the heat balance, the dynamic basic equation of the space has been defined. The basic equation is a differential equation which contains the internal heat sources and the heat capacity of the space. For solving the basic equation, the initial condition, the time-varying boundary condition of the third kind and the Fourier's conductivity differential equation are necessary. The convolution integral of the solution function has been obtained by the use of the integral-differential equation acquired by substituting the temperatures and heat fluxes into the basic equation. The solution of the acquired equation can be obtained in a numerical way. Our new mathematical approach to the solution of the physical model makes it possible to investigate the air and wall temperatures, as well as the heat flow through the wall in underground spaces.

Suggested Citation

  • Szabó, J. & Kajtár, L. & Nyers, J. & Bokor, B., 2016. "A new approach and results of wall and air temperature dynamic analysis in underground spaces," Energy, Elsevier, vol. 106(C), pages 520-527.
    • Handle: RePEc:eee:energy:v:106:y:2016:i:c:p:520-527
    DOI: 10.1016/j.energy.2016.03.008
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    References listed on IDEAS

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    1. Ip, Kenneth & Miller, Andrew, 2009. "Thermal behaviour of an earth-sheltered autonomous building – The Brighton Earthship," Renewable Energy, Elsevier, vol. 34(9), pages 2037-2043.
    2. Kajtar, Laszlo & Nyers, Jozsef & Szabo, Janos, 2015. "Dynamic thermal dimensioning of underground spaces," Energy, Elsevier, vol. 87(C), pages 361-368.
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    Cited by:

    1. Gao, Xiangkui & Zhang, Zujing & Yuan, Yanping & Cao, Xiaoling & Zeng, Chao & Yan, Da, 2018. "Coupled cooling method for multiple latent heat thermal storage devices combined with pre-cooling of envelope: Model development and operation optimization," Energy, Elsevier, vol. 159(C), pages 508-524.
    2. Yuan, Yanping & Gao, Xiangkui & Wu, Hongwei & Zhang, Zujin & Cao, Xiaoling & Sun, Liangliang & Yu, Nanyang, 2017. "Coupled cooling method and application of latent heat thermal energy storage combined with pre-cooling of envelope: Method and model development," Energy, Elsevier, vol. 119(C), pages 817-833.

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