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Transient Nonlinear Heat Conduction in Concrete Structures: A Semi-Analytical Approach

Wang, Hui ; Chen, Xi ; Koenders, Eduardus ; Dai, Ying ; Huang, Xingchun ; Ai, Qing ; Yuan, Yong (2023)
Transient Nonlinear Heat Conduction in Concrete Structures: A Semi-Analytical Approach.
In: Entropy, 2023, 25 (4)
doi: 10.26083/tuprints-00023645
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Transient Nonlinear Heat Conduction in Concrete Structures: A Semi-Analytical Approach
Language: English
Date: 11 April 2023
Place of Publication: Darmstadt
Year of primary publication: 2023
Publisher: MDPI
Journal or Publication Title: Entropy
Volume of the journal: 25
Issue Number: 4
Collation: 22 Seiten
DOI: 10.26083/tuprints-00023645
Corresponding Links:
Origin: Secondary publication DeepGreen

Thermal loading, especially in fire scenarios, challenges the safety and long-term durability of concrete structures. The resulting heat propagation within the structure is governed by the heat conduction equation, which can be difficult to solve analytically because of the nonlinearity related to the thermophysical properties of concrete. A semi-analytical approach for the transient nonlinear heat conduction problem in concrete structures was established in the present work. The nonlinearity related to the temperature-dependent thermal conductivity, mass density, and specific heat capacity of heated concrete was taken into consideration. A Taylor series approximate solution was first established within a small neighborhood, employing the Boltzmann transformation in combination with the mean value theorem. Thereafter, it was extended to the whole domain by utilizing the Bernstein polynomial. The semi-analytical approach was validated by comparing it with the numerical results of two independent Finite Element simulations of nonlinear heat conduction along concrete plates, subjected to either moderate or fierce thermal loading. Absolute values of the relative errors are smaller than 5%. The validated semi-analytical approach was further applied to prediction of the temporal evolution of the temperature field of a scaled model of a subway station, subjected to fire disaster. The nonlinearities, related to the time-dependent surface temperature and the temperature-dependent thermophysical properties of concrete, were taken into consideration. The predictions agree well with the experimental measurements. The established semi-analytical approach exhibits good accuracy and stability, providing insight into the interaction between the thermophysical properties of concrete in the heat conduction process.

Uncontrolled Keywords: concrete heat conduction, semi-analytical approach, high temperature, nonlinear, fire loading
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-236453
Additional Information:

This article belongs to the Special Issue Applied Thermodynamics and Heat Transfer

Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 13 Department of Civil and Environmental Engineering Sciences > Institute of Construction and Building Materials
Date Deposited: 11 Apr 2023 11:47
Last Modified: 14 Nov 2023 19:05
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23645
PPN: 509103839
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