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
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2023 |
| Autor(en): | Wang, Hui ; Chen, Xi ; Koenders, Eduardus ; Dai, Ying ; Huang, Xingchun ; Ai, Qing ; Yuan, Yong |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Transient Nonlinear Heat Conduction in Concrete Structures: A Semi-Analytical Approach |
| Sprache: | Englisch |
| Publikationsjahr: | 2023 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2023 |
| Verlag: | MDPI |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Entropy |
| Jahrgang/Volume einer Zeitschrift: | 25 |
| (Heft-)Nummer: | 4 |
| Kollation: | 22 Seiten |
| DOI: | 10.26083/tuprints-00023645 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23645 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | 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. |
| Freie Schlagworte: | concrete heat conduction, semi-analytical approach, high temperature, nonlinear, fire loading |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-236453 |
| Zusätzliche Informationen: | This article belongs to the Special Issue Applied Thermodynamics and Heat Transfer |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Institut für Werkstoffe im Bauwesen |
| Hinterlegungsdatum: | 11 Apr 2023 11:47 |
| Letzte Änderung: | 13 Apr 2023 09:08 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Transient Nonlinear Heat Conduction in Concrete Structures: A Semi-Analytical Approach. (deposited 11 Apr 2023 11:47) [Gegenwärtig angezeigt]
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