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A simplified analytical model for radiation dominated ignition of solid fuels exposed to multiple non-steady heat fluxes

Parot, R; Rivera, JI; Reszka, P; Torero, JL; Fuentes, A; (2022) A simplified analytical model for radiation dominated ignition of solid fuels exposed to multiple non-steady heat fluxes. Combustion and Flame , 237 , Article 111866. 10.1016/j.combustflame.2021.111866. (In press).

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Abstract

Heat fluxes from fires are strongly time-dependent. Historically, the thermal ignition theory in its classical form has neglected this time dependency until recent years, where theories have been developed to include time-varying incident heat fluxes. This article proposes a simplified general model formulation for the heating of solid fuels exposed to four different heat flux behaviors, considering the penetration of radiation into the medium. The incident heat flux cases developed where: Constant, Linear, Exponential and Polynomial, which represent different situations related to structural and wildland fires. The analytical models consider a spatially averaged medium temperature and exact and approximate solutions are presented, based on the critical ignition temperature criterion, which are valid for solids of any optical thickness. The results were validated by comparison with various models presented in the literature, where the model granted in this work was capable to adjust to all of them, especially when high heat fluxes are involved. Therefore, the proposed model acquires a significant engineering utility since it provides a single model to be used as a general and versatile tool to predict the ignition delay time in a manageable way for solid fuels exposed to different fire conditions.

Type: Article
Title: A simplified analytical model for radiation dominated ignition of solid fuels exposed to multiple non-steady heat fluxes
DOI: 10.1016/j.combustflame.2021.111866
Publisher version: http://dx.doi.org/10.1016/j.combustflame.2021.1118...
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Ignition delay time, Fire safety, Integral heat equation, Solid ignition, Translucent solids, In-depth absorption of radiation
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10139970
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