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

Janos Szabo (), L. Kajtár, J. Nyers and B. Bokor

Energy, 2016, vol. 106, issue C, 520-527

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.

Keywords: Underground space; Wall temperature; Heat flow through the wall; Composite Simpson; Adams–Moulton; Step size optimization (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:energy:v:106:y:2016:i:c:p:520-527

DOI: 10.1016/j.energy.2016.03.008

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